The Department of Mathematical Sciences at the University of WisconsinMilwaukee is home to an active community of teachers, scholars, undergraduates, and graduate students. In addition to most traditional areas of Pure and Applied Mathematics, the department contains all UWM programs in Actuarial Science and Atmospheric Science.
The department offers Bachelor’s, Master’s, and Doctoral studies in all of these areas, in addition to several interdisciplinary programs. Established in 1963, the PhD in Mathematics is the original doctoral program at UWM, founded by Dr. Morris Marden.
In addition, together with Computer Science (in the College of Engineering and Applied Science), we offer the Applied Math and Computer Science Bachelor of Science degree, as well as a Data Science Bachelor of Science degree.
Mathematics is the principal language of modern science and technology. In such diverse areas as physics, engineering, economics, computer science, and biology, much of the subject matter is presented in mathematical terms. In addition, mathematical techniques are now being used in many areas which formerly were nonmathematical; for example, history, political science, psychology, and medicine.
Some students are drawn to mathematics because of the beauty they find in its structure and logic, others because it allows a deeper understanding of an allied area of study.
Actuarial science is the mathematical analysis of problems in economics, finance, and insurance. It requires knowledge of statistics, probability, and interest theory and how they relate to financial issues.
Atmospheric science is the study of shortterm weather and longterm climate, involving both applied activities such as weather forecasting and analysis and fundamental research. It uses advanced methods in statistics and numerical modeling.
Data science uses large sets of data — sometimes millions of pieces of data — to describe or solve some of the world’s toughest problems. Data scientists use those large sets of information to describe what’s happening, explain why it’s happening, predict what’s likely to happen and make decisions about what action to take.
The Applied Mathematics and Computer Science degree combines core subjects in the two fields, preparing students for work in industrial and technology fields.
Students of the sciences, engineering, computer science, economics, and business often complete a significant number of mathematical sciences credits. These students are encouraged to take a mathematics major or minor, which adds an official recognition of important analytical skills valued by employers and graduate schools.
Students interested in teaching mathematics at the K12 level should consult the School of Education section of this catalog.
For the Mathematics, Actuarial Science, Applied Math & Computer Science, and Data Science programs, please visit the department web page at https://uwm.edu/math/ and follow the links to the undergraduate program for more information. For the Atmospheric Science program, please visit the program web page at https://uwm.edu/atmosphericscience/ and follow the links to the undergraduate program for more information.
There are four curricular areas in the Department of Mathematical Sciences:
 Actuarial Science (ACTSCI)
 Atmospheric Science (ATM SCI)
 Mathematics (MATH)
 Mathematical Statistics (MTHSTAT)
Undergraduate Studies  We offer three minors and six undergraduate degrees:

Bachelor of Science Degrees: Mathematics; Atmospheric Science; Applied Mathematics and Computer Science (AMCS); Data Science

Bachelor of Arts Degrees: Mathematics; Actuarial Science

Minors: Mathematics; Actuarial Science; Atmospheric Science
Graduate Studies in Mathematical Sciences
The Department has vibrant graduate programs leading to both the Master of Science and Doctor of Philosophy degrees in each of Mathematics and Atmospheric Science. In addition to traditional areas of Mathematics and Statistics, the Mathematics graduate offerings also include UWMilwaukee's Actuarial Science programs. The department also offers a newly established dual degree in mathematics with Fachhochschule Aachen (Aachen University of Applied Sciences) in Germany. Students may prepare for careers in teaching at the secondary or college level and for careers in research in the academic, industrial, government, or business communities.
See below for detailed program information and requirements.
 Actuarial Science, BA
 Actuarial Science, Minor
 Applied Math and Computer Science, BS (College of Letters and Science, Department of Mathematical Sciences)
 Atmospheric Science, BS
 Atmospheric Science, Minor
 Atmospheric Science, MS
 Atmospheric Science, PhD
 Data Science, BS (College of Letters and Science, Department of Mathematical Sciences)
 Mathematics, BA
 Mathematics, BS
 Mathematics, Minor
 Mathematics, MS
 Mathematics, MS: Actuarial Science
 Mathematics, MS: Foundations of Advanced Studies
 Mathematics, MS: Industrial Mathematics
 Mathematics, MS: Statistics
 Mathematics, PhD
Actuarial Science Courses
ACTSCI 290 Introduction to Actuarial Science
3 cr. Undergraduate.
Overview of the actuarial profession, financial risks, and types of insurance products; risk components; and risk evaluation methods.
Prerequisites: Satisfaction of Quantitative Literacy Part A GER.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 391 Investment Mathematics I
4 cr. Undergraduate.
Examination of annuities, loans, bonds, portfolio immunization, and interest rate swaps.
Prerequisites: jr st; grade of C or better in MATH 232(P).
Course Rules: Counts as a repeat of MATH 311.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 490 Introduction to Actuarial Practice
1 cr. Undergraduate.
Professional topics such as healthcare, pensions, life insurance, property and casualty, reinsurance, and regulation.
Prerequisites: ACTSCI 290(P).
Course Rules: May be retaken for cr once. Counts as repeat of MTHSTAT 591.
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 491 Actuarial Workshop I
1 cr. Undergraduate.
Fundamental interest theory tools integrated with economic and financial concepts; financial mathematics; financial instruments; calculating present and accumulated values for various streams of cash flow.
Prerequisites: C or better in ACTSCI 391(P) or consent of instructor.
Course Rules: Counts as a repeat of MTHSTAT 593.
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 492 Actuarial Workshop II
1 cr. Undergraduate.
Fundamental probability tools for quantitatively assessing risk integrated with economic and financial concepts; application of tools to actuarial problems; introduction to insurance and risk management for various streams of cash flow.
Prerequisites: C or better in MTHSTAT 361(P) or consent of instructor.
Course Rules: Counts as a repeat of MTHSTAT 592.
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 590 Actuarial Internship
16 cr. Undergraduate.
Apply principles and techniques of actuarial science in business, governmental and other appropriate settings.
Prerequisites: soph st; 6 cr 300level or above in ACTSCI or MTHSTAT; GPA in ACTSCI and MTHSTAT courses at least 2.5.
Course Rules: One cr earned for academic work based on 40 hours in internship. May be retaken to 6 cr max.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 591 Investment Mathematics II
3 cr. Undergraduate.
Mathematical models in finance and economics, corporate finance.
Prerequisites: jr st; MTHSTAT 361(P); ACTSCI 391(P).
Course Rules: Counts as repeat of MTHSTAT 692.
Last Taught: Fall 2019, Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 593 Actuarial Models I
3 cr. Undergraduate.
Long term insurance coverage, single life survival models, life insurance, annuities, benefit and premium random variables, mortality models.
Prerequisites: jr st; ACTSCI 391(P); MTHSTAT 361(P); MTHSTAT 362(C).
Course Rules: Counts as a repeat of MTHSTAT 691.
Last Taught: Spring 2019, Spring 2017, Spring 2015, Spring 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 594 Actuarial Models II
3 cr. Undergraduate.
Long term insurance coverage, single life survival models, life insurance, annuities, benefit and premium random variables, mortality models.
Prerequisites: ACTSCI 593(P); MTHSTAT 362(P).
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 596 Actuarial Statistics I
3 cr. Undergraduate.
Loss models for short term insurance and their statistical fitting.
Prerequisites: jr st; MATH 234(P); MTHSTAT 362(P).
Course Rules: Counts as a repeat of MTHSTAT 596.
Last Taught: Fall 2019, Fall 2017, Fall 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 597 Actuarial Statistics II
3 cr. Undergraduate.
Credibility theory, ratemaking, and reserving.
Prerequisites: jr st; MATH 234(P); MTHSTAT 362(P).
Course Rules: Counts as a repeat of MTHSTAT 597.
Last Taught: Spring 2020, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 599 Capstone Experience
1 cr. Undergraduate.
Independent research on current financial and insurance topics that are not covered in regular actuarial courses.
Prerequisites: senior standing.
Course Rules: May be retaken for cr once.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 790 Actuarial Internship
16 cr. Graduate.
Apply principles and techniques of actuarial science in business, governmental and other appropriate settings.
Prerequisites: graduate standing.
Course Rules: One cr earned for academic work based on 40 hours in internship. May be retaken to 6 cr max.
Last Taught: Summer 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 791 Investment Mathematics II
3 cr. Graduate.
Mathematical models in finance and economics, corporate finance.
Prerequisites: graduate standing.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 793 Actuarial Models I
3 cr. Graduate.
Long term insurance coverage, single life survival models, life insurance, annuities, benefit and premium random variables, mortality models.
Prerequisites: graduate standing.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 794 Actuarial Models II
3 cr. Graduate.
Long term insurance coverage, single life survival models, life insurance, annuities, benefit and premium random variables, mortality models.
Prerequisites: grad st; ACTSCI 593(P); MTHSTAT 362(P).
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 796 Actuarial Statistics I
3 cr. Graduate.
Loss models for short term insurance and their statistical fitting.
Prerequisites: graduate standing.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 797 Actuarial Statistics II
3 cr. Graduate.
Credibility theory, ratemaking and reserving.
Prerequisites: graduate standing.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 891 Actuarial Risk Theory
3 cr. Graduate.
Risk models; premium principles; reinsurance contracts; ruin theory; ordering of risks; bonusmalus systems; IBNR techniques.
Prerequisites: grad st; MATH 571(P) & ACTSCI 596(P), or consent of instructor.
Course Rules: Previously MTHSTAT 795.
Last Taught: Fall 2019, Fall 2017, Fall 2015, Fall 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ACTSCI 895 Topics in Actuarial Science:
3 cr. Graduate.
Advanced topics in actuarial science.
Prerequisites: graduate standing; 6 credits of 700 level ACTSCI coursework.
Course Rules: Repeatable to 9 credits max. Counts as a repeat of MTHSTAT 896 with a similar topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
Atmospheric Sciences Courses
ATM SCI 100 Survey of Meteorology
3 cr. Undergraduate.
Concepts and principles of meteorology; cyclones, fronts, thunderstorms, tornadoes, air pollution, and climate. Interpretation of weather maps, charts, and forecasts. 2 hrs lec, 2 hrs labdis.
Prerequisites: none.
Course Rules: Counts as repeat of 3 cr Atm Sci 100 taken for 4 cr.
General Education Requirements: NS+
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 106 Principles and Forecasting of the Weather
3 cr. Undergraduate.
What makes the weather, general circulation of the atmosphere, analysis of meteorological data and their use in predicting the weather.
Prerequisites: none.
General Education Requirements: NS
Last Taught: UWinteriM 2013, Summer 2012, UWinteriM 2012, Summer 2011.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 108 Rain and Snow
3 cr. Undergraduate.
Study of precipitation properties and processes in the atmosphere. Structure of precipitating systems ranging from small to large scale.
Prerequisites: none.
General Education Requirements: NS
Last Taught: Fall 1998, Fall 1997, Summer 1997, Spring 1997.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 109 Thunderstorms, Tornadoes and Hurricanes
3 cr. Undergraduate.
The study of basic processes that lead to dry and moist convection. Characteristic atmospheric structure and cloud microphysical processes that produce thunderstorms, tornadoes and hurricanes.
Prerequisites: none.
General Education Requirements: NS
Last Taught: Summer 2020, Spring 2020, UWinteriM 2020, Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 110 The Origin, Composition, and Structure of the Planetary Atmospheres
3 cr. Undergraduate.
Origin of the solar system, its planets, and planetary atmospheres.
Prerequisites: none.
General Education Requirements: NS
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 194 FirstYear Seminar:
3 cr. Undergraduate.
Specific topics are announced in the Schedule of Classes each time the class is offered.
Prerequisites: none.
Course Rules: Open only to freshmen. Students may earn cr in just one L&S FirstYear Sem (course numbers 192, 193, 194).
General Education Requirements: NS
Last Taught: Spring 2019, Fall 2016, Fall 2014, Fall 2012.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 199 Independent Study
13 cr. Undergraduate.
For further information, consult dept chair.
Prerequisites: 2.0 GPA; consent of instructor, department chair, and Assistant Dean for Student Academic Services.
Course Rules: May be retaken to 6 cr max.
Last Taught: Fall 2013, Spring 2013, Spring 2006, Fall 2005.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 240 Introduction to Meteorology
3 cr. Undergraduate.
Quantitative approach to understanding fundamental concepts in meteorology. Radiation, heat balance of the atmosphere, thermodynamics, horizontal motion, general circulation, atmospheric observations, clouds, weather map analysis.
Prerequisites: Physics 209(P) & 214(P); Math 232(C).
Course Rules: Not open for cr to students with Atm Sci 201.
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 289 Internship in Atmospheric Sciences, Lower Division
16 cr. Undergraduate.
Application of basic knowledge of Atmospheric Sciences in business, organizational, educational, political or other appropriate setting.
Prerequisites: soph st.; 2.50 gpa; cons supervising faculty member.
Course Rules: One cr earned for academic work based on 40 hrs in internship. May be retaken to 6 cr max.
Last Taught: Spring 2015, Fall 2013, Fall 2012, Fall 2011.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 297 Study Abroad:
112 cr. Undergraduate.
Designed to enroll students in UWM sponsored program before course work level, content, and credits are determined and/or in specially prepared course work.
Prerequisites: acceptance for Study Abroad Prog.
Course Rules: May be retaken w/chg in topic.
General Education Requirements: NS
Last Taught: UWinteriM 2019, UWinteriM 2018, UWinteriM 2015, UWinteriM 2014.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 299 Ad Hoc:
16 cr. Undergraduate.
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Prerequisites: none; add'l prereqs may be assigned to specific topic.
Course Rules: May be retaken w/chg in topic.
Last Taught: Spring 2019, Fall 2013, Fall 1994, Fall 1992.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 330 AirPollution Meteorology
3 cr. Undergraduate/Graduate.
Pollutant sources and sinks, fundamental pollutant chemistry, monitoring techniques, averaging boundary layers and turbulence, diffusion theories, diffusion models, regional and globalscale pollution problems.
Prerequisites: Atm Sci 240(P); Chem 102(P); stats course recom.
Last Taught: Fall 2019, Fall 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 330G AirPollution Meteorology
3 cr. Undergraduate/Graduate.
Pollutant sources and sinks, fundamental pollutant chemistry, monitoring techniques, averaging boundary layers and turbulence, diffusion theories, diffusion models, regional and globalscale pollution problems.
Prerequisites: Atm Sci 240(P); Chem 102(P); stats course recom.
Last Taught: Fall 2019, Fall 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 350 Atmospheric Thermodynamics
3 cr. Undergraduate/Graduate.
Radiant energy, sensible heat, and atmospheric thermodynamics; the gas laws; hydrostatic and psychrometric equations; dry and moist convection; clouds and their physical and energy relations. Optional field exercise.
Prerequisites: jr st; Physics 210(P); Math 232(P); Atm Sci 240(P).
Last Taught: Fall 2019, Fall 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 350G Atmospheric Thermodynamics
3 cr. Undergraduate/Graduate.
Radiant energy, sensible heat, and atmospheric thermodynamics; the gas laws; hydrostatic and psychrometric equations; dry and moist convection; clouds and their physical and energy relations. Optional field exercise.
Prerequisites: jr st; Physics 210(P); Math 232(P); Atm Sci 240(P).
Last Taught: Fall 2019, Fall 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 351 Dynamic Meteorology I
3 cr. Undergraduate/Graduate.
The role of dynamics in atmospheric physics; equations of motion; symmetric circulation models; gravity waves; Rossby waves, quasigeostrophy; introduction to instability of atmospheric flows.
Prerequisites: jr st; Atm Sci 240(P); Math 233(P).
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 351G Dynamic Meteorology I
3 cr. Undergraduate/Graduate.
The role of dynamics in atmospheric physics; equations of motion; symmetric circulation models; gravity waves; Rossby waves, quasigeostrophy; introduction to instability of atmospheric flows.
Prerequisites: jr st; Atm Sci 240(P); Math 233(P).
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 352 Dynamic Meteorology II
3 cr. Undergraduate/Graduate.
Circulation, vorticity, potential vorticity; shallow water equations: Poincare, Kelvin, and Rossby waves, energy and enstrophy; quasigeostrophy for a stratified atmosphere; barotropic and baroclinic instability.
Prerequisites: jr st; Atm Sci 351(P); Math 234(P).
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 352G Dynamic Meteorology II
3 cr. Undergraduate/Graduate.
Circulation, vorticity, potential vorticity; shallow water equations: Poincare, Kelvin, and Rossby waves, energy and enstrophy; quasigeostrophy for a stratified atmosphere; barotropic and baroclinic instability.
Prerequisites: jr st; Atm Sci 351(P); Math 234(P).
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 360 Synoptic Meteorology I
4 cr. Undergraduate/Graduate.
Fundamental principles; synopticscale structure and dynamics; equivalent barotropic model; vertical motions; introduction to and application of quasigeostrophic theory.
Prerequisites: jr st; Math 232(P); Physics 210(P); Atm Sci 240(P).
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 360G Synoptic Meteorology I
4 cr. Undergraduate/Graduate.
Fundamental principles; synopticscale structure and dynamics; equivalent barotropic model; vertical motions; introduction to and application of quasigeostrophic theory.
Prerequisites: jr st; Math 232(P); Physics 210(P); Atm Sci 240(P).
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 361 Synoptic Meteorology II
4 cr. Undergraduate/Graduate.
Extension of quasigeostrophic theory to Qvectors; isentropic potential vorticity applied to midlatitude weather systems; fronts and jets.
Prerequisites: jr st; Atm Sci 360(P).
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 361G Synoptic Meteorology II
4 cr. Undergraduate/Graduate.
Extension of quasigeostrophic theory to Qvectors; isentropic potential vorticity applied to midlatitude weather systems; fronts and jets.
Prerequisites: jr st; Atm Sci 360(P).
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 381 Honors Seminar:
3 cr. Undergraduate.
Selected topics.
Prerequisites: soph st; Honors 200(P); cons Honors College dir.
Course Rules: May be retaken w/chg in topic to 9 cr max.
General Education Requirements: NS
Last Taught: Spring 2020, Fall 2018, Spring 2018, Fall 2007.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 405 Atmospheric Science for inService Teachers:
13 cr. Undergraduate/Graduate.
Basic, advanced or new topics in atmospheric sciences for inservice teachers.
Prerequisites: inservice teacher; add'l prereqs depending on topic.
Course Rules: May be retaken w/chg in topic to 9 cr max.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 405G Atmospheric Science for inService Teachers:
13 cr. Undergraduate/Graduate.
Basic, advanced or new topics in atmospheric sciences for inservice teachers.
Prerequisites: inservice teacher; add'l prereqs depending on topic.
Course Rules: May be retaken w/chg in topic to 9 cr max.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 460 Mesoscale Circulations
3 cr. Undergraduate/Graduate.
Theory, analysis and forecasting of mesoscale flows, including convective systems, polar lows, terrain and surfaceforced flows, jet streams and hurricanes.
Prerequisites: jr st; Atm Sci 360(R) or cons instr.
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 460G Mesoscale Circulations
3 cr. Undergraduate/Graduate.
Theory, analysis and forecasting of mesoscale flows, including convective systems, polar lows, terrain and surfaceforced flows, jet streams and hurricanes.
Prerequisites: jr st; Atm Sci 360(R) or cons instr.
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 464 Physical Meteorology: Cloud Physics
3 cr. Undergraduate/Graduate.
Formation of cloud droplets, droplet growth by condensation, formation of ice crystals, precipitation processes, weather radars, cloud models.
Prerequisites: jr st; Physics 210(P); Math 232(P); Atm Sci 350(P).
Last Taught: Spring 2020, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 464G Physical Meteorology: Cloud Physics
3 cr. Undergraduate/Graduate.
Formation of cloud droplets, droplet growth by condensation, formation of ice crystals, precipitation processes, weather radars, cloud models.
Prerequisites: jr st; Physics 210(P); Math 232(P); Atm Sci 350(P).
Last Taught: Spring 2020, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 470 Tropical Meteorology
3 cr. Undergraduate/Graduate.
Dynamics and energetics of tropical circulations. Origins and evolution of equatorial disturbances and easterly waves. Structure and dynamics of tropical cyclones. Hurricane modeling and prediction.
Prerequisites: Atm Sci 351(P) or 360(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 470G Tropical Meteorology
3 cr. Undergraduate/Graduate.
Dynamics and energetics of tropical circulations. Origins and evolution of equatorial disturbances and easterly waves. Structure and dynamics of tropical cyclones. Hurricane modeling and prediction.
Prerequisites: Atm Sci 351(P) or 360(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 480 The General Circulation and Climate Dynamics
3 cr. Undergraduate/Graduate.
Historical overview, the zonally symmetric circulation, momentum, heat and water budgets, stationary waves, the El Nino Southern oscillation, global warming, interpentadal variability in the North Atlantic.
Prerequisites: jr st; Atm Sci 351(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 480G The General Circulation and Climate Dynamics
3 cr. Undergraduate/Graduate.
Historical overview, the zonally symmetric circulation, momentum, heat and water budgets, stationary waves, the El Nino Southern oscillation, global warming, interpentadal variability in the North Atlantic.
Prerequisites: jr st; Atm Sci 351(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 497 Study Abroad:
112 cr. Undergraduate/Graduate.
Designed to enroll students in UWM sponsored program before course work level, content, and credits are determined and/or in specially prepared course work.
Prerequisites: jr st; acceptance for Study Abroad Prog.
Course Rules: May be retaken w/chg in topic.
General Education Requirements: NS
Last Taught: UWinteriM 2020, UWinteriM 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 497G Study Abroad:
112 cr. Undergraduate/Graduate.
Designed to enroll students in UWM sponsored program before course work level, content, and credits are determined and/or in specially prepared course work.
Prerequisites: jr st; acceptance for Study Abroad Prog.
Course Rules: May be retaken w/chg in topic.
General Education Requirements: NS
Last Taught: UWinteriM 2020, UWinteriM 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 499 Ad Hoc:
16 cr. Undergraduate.
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Prerequisites: jr st; add'l prereqs may be assigned to specific topic.
Course Rules: May be retaken w/chg in topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 500 Statistical Methods in Atmospheric Sciences
3 cr. Undergraduate/Graduate.
Mathematical and statistical tools applicable to the investigation of atmospheric problems; the nature and treatment of atmospheric data.
Prerequisites: jr st; Atm Sci 240(P) or 350(P), & Math 232(P) or cons instr.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 500G Statistical Methods in Atmospheric Sciences
3 cr. Undergraduate/Graduate.
Mathematical and statistical tools applicable to the investigation of atmospheric problems; the nature and treatment of atmospheric data.
Prerequisites: jr st; Atm Sci 240(P) or 350(P), & Math 232(P) or cons instr.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 505 Micrometeorology
3 cr. Undergraduate/Graduate.
Surface energy budget; radiation balance and heat transfer; boundarylayer profiles of wind, temperature and moisture; turbulence and boundarylayer fluxes; evapotranspiration; special topics.
Prerequisites: jr st; Atm Sci 351(P) & 330(P).
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 505G Micrometeorology
3 cr. Undergraduate/Graduate.
Surface energy budget; radiation balance and heat transfer; boundarylayer profiles of wind, temperature and moisture; turbulence and boundarylayer fluxes; evapotranspiration; special topics.
Prerequisites: jr st; Atm Sci 351(P) & 330(P).
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 511 Seminar in Atmospheric Radiation and Remote Sensing
3 cr. Undergraduate/Graduate.
Basic laws of radiation, absorption and scattering, weather radar, retrieval of soundings, remote sensing and climate, weather satellites.
Prerequisites: jr st; Math 232(P); Atm Sci 350(P) & Physics 210(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 511G Seminar in Atmospheric Radiation and Remote Sensing
3 cr. Undergraduate/Graduate.
Basic laws of radiation, absorption and scattering, weather radar, retrieval of soundings, remote sensing and climate, weather satellites.
Prerequisites: jr st; Math 232(P); Atm Sci 350(P) & Physics 210(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 520 Advanced Dynamic Meteorology
3 cr. Undergraduate/Graduate.
Properties of atmospheric sound, gravity, Rossby waves. Baroclinic instability, cyclogenesis, frontogenesis, and the general circulation. Introduction to numerical prediction.
Prerequisites: jr st; Math 234(P), Atm Sci 350(P) & 351(P) or equiv.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 520G Advanced Dynamic Meteorology
3 cr. Undergraduate/Graduate.
Properties of atmospheric sound, gravity, Rossby waves. Baroclinic instability, cyclogenesis, frontogenesis, and the general circulation. Introduction to numerical prediction.
Prerequisites: jr st; Math 234(P), Atm Sci 350(P) & 351(P) or equiv.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 599 Capstone Experience
1 cr. Undergraduate.
Student writes a paper under supervision of an advisor on an approved topic not covered in the student's regular course work.
Prerequisites: sr st; cons instr.
Course Rules: May be retaken w/chg in topic to 2 cr max.
Last Taught: Spring 2020, Fall 2019, Spring 2018, Fall 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 600 Data Analytics
3 cr. Undergraduate/Graduate.
overs techniques used to analyze data and test scientific hypotheses for both diagnostic/understanding and prognostic/prediction applications, particularly in the atmospheric and related sciences.
Prerequisites: junior standing, or graduate standing, or consent of instructor.
Course Rules: Counts as repeat of ATM SCI 690 with same topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 600G Data Analytics
3 cr. Undergraduate/Graduate.
overs techniques used to analyze data and test scientific hypotheses for both diagnostic/understanding and prognostic/prediction applications, particularly in the atmospheric and related sciences.
Prerequisites: junior standing, or graduate standing, or consent of instructor.
Course Rules: Counts as repeat of ATM SCI 690 with same topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 690 Seminar in Atmospheric Sciences:
13 cr. Undergraduate/Graduate.
Intensive topical studies of currently active problem areas.
Prerequisites: jr st; cons instr.
Course Rules: May be retaken w/chg in topic to 9 cr max. Satisfies L&S Seminar req.
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 690G Seminar in Atmospheric Sciences:
13 cr. Undergraduate/Graduate.
Intensive topical studies of currently active problem areas.
Prerequisites: jr st; cons instr.
Course Rules: May be retaken w/chg in topic to 9 cr max. Satisfies L&S Seminar req.
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 695 Internship in Atmospheric Sciences, Upper Division
16 cr. Undergraduate.
Application of advanced principles of atmospheric sciences in a business, organizational, educational, political or other appropriate setting.
Prerequisites: jr st; 300level or above course in atm sci; 3.0 gpa in the major; cons supervising faculty.
Course Rules: One cr earned for 40 hrs work. May be retaken to 6 cr max.
Last Taught: Fall 2019, Summer 2019, Fall 2017, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 699 Advanced Independent Reading
13 cr. Undergraduate.
Independent meteorological study.
Prerequisites: jr st, 2.0 GPA, consent of instructor, Department Chair, and Assistant Dean for Student Academic Services.
Course Rules: May be retaken with change in topic to 3 cr max.
Last Taught: Fall 2008, Spring 2007, Spring 2005, Spring 2004.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 700 Statistical Methods in Atmospheric Sciences II: Signal Detection
3 cr. Graduate.
Fundamentals of signal detection in noisy multivariate spacetime data sets; empirical orthogonal functions, singular value decomposition, maximum covariance analysis and canonical correlation analysis; Fourier analysis; singular and multivariate spectrum analysis.
Prerequisites: graduate standing in physical sciences or engineering.
Course Rules: Counts as a repeat of ATM SCI 950 with the same topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 705 Air Pollution Modeling
3 cr. Graduate.
Computational techniques for determining surface fluxes of heat and momentum. Numerical methods for solving advection and diffusion problems; statistical diffusion modeling.
Prerequisites: grad st; cons instr.
Last Taught: Fall 2018, Fall 2016, Fall 2014, Fall 2012.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 711 Cloud Dynamics
3 cr. Graduate.
Atmospheric applications of turbulent flow theory. Nonprecipitating clouds: structure of individual cumulus clouds, stratocumulus and cumulus boundary layers. Precipitating clouds: thunderstorms, squall lines, hurricanes.
Prerequisites: grad st; cons instr.
Last Taught: Spring 2019, Spring 2017, Spring 2015, Spring 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 725 Remote Sensing of the Environment
3 cr. Graduate.
Remote sensing technology, data processing, and analysis in meteorology, with application to oceanography and geology. Radar and acoustic sounding. Erts, sms/goes, thermal scanner, conventional weather satellites.
Prerequisites: grad st in Physics, Math, Geog, Geo Sci, Engr, or Atm Sci.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 730 Numerical Weather Prediction
3 cr. Graduate.
Numerical methods for predicting atmospheric phenomena; numerical stability and dispersion; implicit and explicit damping methods; physical process parameterization; ensemble data assimilation techniques.
Prerequisites: graduate standing in physical sciences or engineering.
Course Rules: Counts as a repeat of ATM SCI 950 with the same topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 750 Nonlinear Time Series Analysis
3 cr. Graduate.
Phase space reconstruction; singular spectrum analysis; prediction; dimension estimation; application of nonlinear time series analysis techniques to selected data sets.
Prerequisites: grad st; cons instr.
Last Taught: Fall 2013, Spring 2012, Spring 2010, Spring 2008.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 760 Advanced Cloud, Aerosol & Precipitation Principles, Processes & Interactions
4 cr. Graduate.
(3 hr lc, 2 hr la). Theoretical & experimental look at cloud & precipitation formation, interaction & dissipation microphysics & chemistry aerosol physics & chemistry, & their application.
Prerequisites: grad st; Atm Sci 464(C) or cons instr.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 761 Advanced Synoptic/Mesoscale Meteorology
3 cr. Graduate.
Advanced analysis techniques for snyoptic/mesoscale diagnoses, case studies of relevant circulation systems; role of planetary, synoptic, and mesoscale flows in system development.
Prerequisites: grad st; cons instr.
Last Taught: Fall 2019, Fall 2017, Fall 2015, Fall 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 888 Candidate for Degree
0 cr. Graduate.
Available for graduate students who must meet minimum credit load requirement.
Prerequisites: graduate standing.
Course Rules: Fee for 1 cr assessed; unit does not count towards credit load for Fin Aid. Repeatable. Satisfactory/Unsatisfactory only.
Last Taught: Summer 2018, Summer 2017, Summer 2016, Spring 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 943 Seminar: Hydrology:
3 cr. Graduate.
Prerequisites: grad st.
Course Rules: Retakable w/chg in topic to 9 cr max.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 950 Seminar on Topics in Atmospheric Sciences:
3 cr. Graduate.
Selected topics in atmospheric dynamics, satellite meteorology, atmospheric & oceanic convection, air & water pollution, numerical prediction remote sensing, & others.
Prerequisites: grad st in physical sciences or engineering. Retakable w/ chg in topic to 9 cr max.
Last Taught: Spring 2020, Fall 2019, Spring 2018, Fall 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 990 Master's Thesis
18 cr. Graduate.
Prerequisites: grad st; cons instr & completed thesis proposal.
Last Taught: Spring 2020, Spring 2019, Fall 2018, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 997 Doctoral Externship
112 cr. Graduate.
Externship for students enrolled in the Atmospheric Science PhD program.
Prerequisites: grad st; admis to candidacy for the PhD.
Course Rules: Retakeable to 12 cr max.
Last Taught: Fall 2019, Spring 2019, Fall 2018, Fall 2010.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 998 Doctoral Dissertation
112 cr. Graduate.
Prerequisites: grad st; admis to candidacy for PhD.
Last Taught: Spring 2020, Spring 2016, Fall 2015, Summer 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
ATM SCI 999 Advanced Independent Reading
112 cr. Graduate.
Independent meteorological study.
Prerequisites: grad st & cons instr.
Course Rules: Retakable to 12 cr max.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
Mathematical Sciences Courses
MATH 75 Math Success Strategies
0 cr. Undergraduate.
Highly interactive format providing mathematics instruction and instilling study skills and strategies for succeeding in mathematics courses.
Prerequisites: none.
Course Rules: Fee for variable credit assessed (16) depending on contact hours; credits count toward credit load for Financial Aid and enrollment verification only. Satisfactory/Unsatisfactory only.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 90 Basic Mathematics
0 cr. Undergraduate.
Arithmetic operations involving whole numbers, integers, positive and negative rational numbers; decimals, percents; ratio, proportion; radicals; descriptive statistics; units of measure; geometry; introduction to algebra.
Prerequisites: none.
Course Rules: Fee for 3 cr assessed; credits count toward credit load for Financial Aid and enrollment verification only. Not open to students eligible for math courses that carry graduation credit.
Last Taught: Summer 2019, Summer 2018, Summer 2017, Summer 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 92 Mathematical Literacy for College Students I
0 cr. Undergraduate.
Introduction to numeracy, proportional reasoning, algebraic reasoning, and functions. Emphasis on developing conceptual and procedural tools that support the use of key mathematical concepts in context.
Prerequisites: none.
Course Rules: Fee for 3 cr assessed; counts as 3 cr toward cr load for Financial Aid & enrollment verification. Not recommended for students planning to take Calculus or Chem 100.
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 94 Foundations of Elementary Mathematics
0 cr. Undergraduate.
Arithmetic, geometry, and beginning algebra; develops mathematical reasoning, problem solving, and facility with basic mathematical objects and their relationships. Individualized instruction via adaptive learning software.
Prerequisites: none.
Course Rules: Fee for 6 cr assessed; credits count toward credit load for Financial Aid and enrollment verification only. Math 94 counts as repeat of Math 90 & 95.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 95 Essentials of Algebra
0 cr. Undergraduate.
Number systems; linear equations, inequalities; exponent notation, radicals; polynomials, operations, factoring, rational expressions; coordinate geometry; linear systems; quadratic equations.
Prerequisites: Math Placement Level 10, which is earned by any of the following: (a) Level 10 on Math Placement Test; (b) grade of C or better in MATH 90 or MATH 102; (c) grade of D in MATH 94; (d) ACT math subscore of 18 or higher; (e) both of ACT math subscore of 16 or higher and 3.5 units HS math; (f) SAT math subscore of 490 or higher; or (g) both of SAT math subscore of 420 or higher and 3.5 units of HS math.
Course Rules: Fee for 3 cr assessed; credits count toward credit load for Financial Aid and enrollment verification only.
Last Taught: Fall 2018, Fall 2017, Summer 2017, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 98 Algebraic Literacy I
0 cr. Undergraduate.
Arithmetic number systems; linear equations, inequalities; exponent notation, radicals; polynomials, operations, factoring; modeling; coordinate geometry; linear systems; quadratic equations.
Prerequisites: Math Placement Level 10, which is earned by any of the following: (a) Level 10 on Math Placement Test; (b) grade of C or better in MATH 90 or MATH 102; (c) grade of D in MATH 94; (d) ACT math subscore of 18 or higher; (e) both of ACT math subscore of 16 or higher and 3.5 units HS math; (f) SAT math subscore of 490 or higher; or (g) both of SAT math subscore of 420 or higher and 3.5 units of HS math.
Course Rules: Fee for 3 cr assessed; counts as 3 cr toward credit load for Fin Aid & enrollment verification only.
Last Taught: Spring 2020, Fall 2019, Summer 2019, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 102 Mathematical Literacy for College Students II
3 cr. Undergraduate.
Continuation of Math 92, with an integrated approach to numeracy, proportional reasoning, algebraic reasoning, and functions.
Prerequisites: Grade of C or better in Math 92(P).
General Education Requirements: MTH
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 103 Contemporary Applications of Mathematics
3 cr. Undergraduate.
Selected topics in applied mathematics and statistics, such as, but not limited to, voting theory, fair division, apportionment, graph theory, financial mathematics, and statistical inference.
Prerequisites: ACT math subscore of 18 or higher or Math Placement Level 10, which is earned by any of the following: (a) Level 10 on Math Placement Test; (b) Grade of C or better in MATH 90 or MATH 102; (c) grade of D in MATH 94; (d) ACT math subscore of 18 or higher; (e) both of ACTmath subscore of 16 or higher and 3.5 units HS math; (f) SATmath subscore of 490 or higher; or (g) both of SATmath subscore of 420 or higher and 3.5 units of HS math.
Course Rules: Not recommended for students planning to take Calculus or CHEM 100.
General Education Requirements: MTH, QLA
Last Taught: Summer 2020, Spring 2020, UWinteriM 2020, Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 105 Introduction to College Algebra
3 cr. Undergraduate.
Algebraic techniques with polynomials, rational expressions, equations and inequalities, exponential and logarithmic functions, rational exponents, systems of linear equations.
Prerequisites: Math Placement Level 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) Grade of C or better in Math 094, 095, or 098; (c) ACT math subscore of 24 or higher; (d) both of ACTmath subscore of 21 or higher and 4 units HS math; (e) SATmath subscore of 570 or higher; or (f) both of SATmath subscore of 530 or higher and 4 units of HS math.
Course Rules: Counts as repeat of MATH 108.
General Education Requirements: MTH, QLA
Last Taught: Summer 2020, Spring 2020, UWinteriM 2020, Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 108 Algebraic Literacy II
3 cr. Undergraduate.
Continuation of MATH 98 in polynomials, equations, and inequalities; exponential, logarithmic, and periodic functions; rational expressions and exponents; and systems of linear equations.
Prerequisites: C or better MATH 98.
Course Rules: Counts as repeat of MATH 105.
General Education Requirements: MTH
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 111 Introduction to Logic  Critical Reasoning
3 cr. Undergraduate.
Students learn a broad variety of fundamental logical methods  techniques used to identify, analyze, model, evaluate, and criticize different types of realworld reasoning.
Prerequisites: ACT math subscore of 18 or higher, or Math Placement Level 10, which is earned by any of the following: (a) Level 10 on Math Placement Test; (b) grade of C or better in MATH 90 or MATH 102; (c) grade of D in MATH 94; (d) ACT math subscore of 18 or higher; (e) both of ACT math subscore of 16 or higher and 3.5 units HS math; (f) SAT math subscore of 490 or higher; or (g) both of SAT math subscore of 420 or higher and 3.5 units of HS math.
Course Rules: PHILOS 111 and MATH 111 are jointly offered; they count as repeats of one another.
General Education Requirements: HU, QLA
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 115 Precalculus
4 cr. Undergraduate.
Essential topics from college algebra and trigonometry for students intending to enroll in calculus.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35, or 36 on Math Placement Test; (b) grade of C or better in MATH 105, MATH 108, or MATH 116; (c) score of 5 or higher on the IB Mathematical Studies  SL; (d) score of 3 or higher on the AP statistics exam; (e) score of 63 or higher on the CLEP College Algebra Exam; (f) ACT math subscore of 28 or higher; (g) both of ACTmath subscore of 25 or higher and 4 units HS math; (h) SATmath subscore of 670 or higher; or (i) both of SATmath subscore of 590 or higher and 4 units of HS math.
Course Rules: Repeats 2 cr of MATH 116 & 2 cr of MATH 117.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 116 College Algebra
3 cr. Undergraduate.
Function concepts. Polynomial, rational, exponential, and logarithmic functions. Systems of equations and inequalities. Matrices and determinants. Sequences and series. Analytic geometry and conic sections. Induction.
Prerequisites: Math Placement Level 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) Grade of C or better in MATH 94, MATH 95, or MATH 98; (c) ACT math subscore of 24 or higher; (d) both of ACTmath subscore of 21 or higher and 4 units HS math; (e) SATmath subscore of 570 or higher; or (f) both of SATmath subscore of 530 or higher and 4 units of HS math.
Course Rules: 2 cr may be used to repeat 2 cr of MATH 115.
General Education Requirements: MTH, QLA
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 117 Trigonometry
2 cr. Undergraduate.
Trigonometric functions; graphs, identities, equations, inequalities; inverse trigonometric functions; solutions of triangles with applications; complex numbers; polar coordinates.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35, or 36 on Math Placement Test; (b) grade of C or better in MATH 105, MATH 108, or MATH 116; (c) score of 5 or higher on the IB Mathematical Studies  SL; (d) score of 3 or higher on the AP statistics exam; or (e) score of 63 or higher on the CLEP College Algebra Exam; (f) ACT math subscore of 28 or higher; (g) both of ACTmath subscore of 25 or higher and 4 units HS math; (h) SATmath subscore of 670 or higher; or (i) both of SATmath subscore of 590 or higher and 4 units of HS math.
Course Rules: Counts as a repeat of 2 cr of MATH 115.
Last Taught: Summer 2020, Spring 2020, UWinteriM 2020, Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 175 Mathematical Explorations for Elementary Teachers I
3 cr. Undergraduate.
Theory of arithmetic of whole numbers, fractions, and decimals. Introduction to algebra, estimation and problemsolving strategies.
Prerequisites: Registration in elementary, early childhood, or exceptional education curriculum and (1) a grade of C or better in MATH 102 or MATH 103, or (2) Math Placement Level at least 20, which is earned by any of the following: (a) Level 20 or 26 on Math Placement Test; (b) Grade of C or better in MATH 94, MATH 95, or MATH 98; (c) ACT math subscore of 24 or higher; (d) both of ACT math subscore of 21 or higher and 4 units HS math; (e) SAT math subscore of 570 or higher; or (f) both of SAT math subscore of 530 or higher and 4 units of HS math.
General Education Requirements: MTH, QLA
Last Taught: Spring 2020, Fall 2019, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 176 Mathematical Explorations for Elementary Teachers II
3 cr. Undergraduate.
A continuation of MATH 175 in geometry, statistics, and probability.
Prerequisites: grade of C or better in MATH 175(P).
General Education Requirements: QLB
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 194 FirstYear Seminar:
3 cr. Undergraduate.
Specific topics are announced in the Schedule of Classes each time the class is offered.
Prerequisites: none.
Course Rules: Open only to freshmen. Students may earn cr in just one L&S FirstYear Sem (course numbers 192, 193, 194).
General Education Requirements: NS
Last Taught: Fall 2002, Fall 2001, Fall 2000, Spring 1999.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 199 Independent Study
13 cr. Undergraduate.
Regularly offered courses may not be taken as Independent Study.
Prerequisites: 2.0 GPA in all previous math courses; consent of instructor, department chair and Assistant Dean for Student Academic Services.
Course Rules: May be retaken with change in topic to 9 cr max.
Last Taught: Spring 2016, UWinteriM 2014, Spring 2011, Summer 2010.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 205 Introductory Finite Mathematics
3 cr. Undergraduate.
Elementary deterministic and probabilistic discrete mathematics and applications to a wide variety of disciplines. Topics may include linear programming, Markov chains, optimization, stochastic processes.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35, or 36 on Math Placement Test; (b) grade of C or better in MATH 105, MATH 108, or MATH 116; (c) score of 5 or higher on the IB Mathematical Studies  SL; (d) score of 3 or higher on the AP statistics exam; (e) score of 63 or higher on the CLEP College Algebra Exam; (f) ACT math subscore of 28 or higher; (g) both of ACT math subscore of 25 or higher and 4 units HS math; (h) SAT math subscore of 670 or higher; or (i) both of SAT math subscore of 590 or higher and 4 units of HS math.
General Education Requirements: NS, QLB
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 208 Quantitative Models for Business
4 cr. Undergraduate.
Applications of algebra, functions, and optimization methods in business and economics settings.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35 or 36 on Math Placement Test; (b) grade of C or better in MATH 105, MATH 108, or MATH 116; (c) score of 5 or higher on the IB Mathematical Studies  SL; (d) score of 3 or higher on the AP statistics exam; (e) score of 63 or higher on the CLEP College Algebra Exam; (f) ACT math subscore of 28 or higher; (g) both of ACT math subscore of 25 or higher and 4 units HS math; (h) SAT math subscore of 670 or higher; or (i) both of SAT math subscore of 590 or higher and 4 units of HS math.
General Education Requirements: QLB
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 211 Survey in Calculus and Analytic Geometry
4 cr. Undergraduate.
A onesemester survey with applications to business administration, economics, and nonphysical sciences. Topics include coordinate systems, equations of curves, limits, differentiation, integration, applications.
Prerequisites: Math Placement Level 30, which is earned by any of the following: (a) Level 30, 35 or 36 on Math Placement Test; (b) grade of C or better in MATH 105, MATH 108, or MATH 116; (c) score of 5 or higher on the IB Mathematical Studies  SL; (d) score of 3 or higher on the AP statistics exam; (e) score of 63 or higher on the CLEP College Algebra Exam; (f) ACT math subscore of 28 or higher; (g) both of ACTmath subscore of 25 or higher and 4 units HS math; (h) SATmath subscore of 670 or higher; or (i) both of SATmath subscore of 590 or higher and 4 units of HS math.
Course Rules: May not be used as a prereq for MATH 232. No cr for students with cr in MATH 213, MATH 221, or MATH 231.
General Education Requirements: NS, QLB
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 213 Calculus with Life Sciences Applications
4 cr. Undergraduate.
Limits, derivatives, graphing. Antiderivatives, the definite integral, and the fundamental theorem of calculus. Additional techniques and applications pertinent to the life sciences throughout the course.
Prerequisites: Math Placement Level 40, which is earned by any of the following: (a) Level 40 on Math Placement Test; (b) grade of C or better in Math 115; (c) grade of C or better in both Math 116 and Math 117; (d) grade of C or better in both Math 211 and Math 117; (e) grade of C or better in Math 116 and Level 36 or 26 on Math Placement Test; (f) grade of C or better in Math 211 and Level 36 or 26 on Math Placement Test; (g) grade of C or better in Math 117 and Level 35 on Math Placement Test; (h) score of 61 or higher on the CLEP Precalculus Exam; (i) ACT math subscore of 32 or higher; (j) both of ACT math subscore of 27 or higher and 4 units HS math; (k) SAT math subscore of 720 or higher; or (l) both of SAT math subscore of 630 or higher and 4 units of HS math.
Course Rules: No credit for students with credit in MATH 221 or MATH 231.
General Education Requirements: NS, QLB
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 221 Honors Calculus I
5 cr. Undergraduate.
Calculus of functions of one and several variables; sequences, series, differentiation, integration; introduction to differential equations; vectors and vector functions; applications.
Prerequisites: consent of instructor or Honors College Director; Math Placement Level 45, earned by any of: (a) Level 45 Math Placement Test; (b) Level 40 Math Placement Test & ACT math subscore 30 or higher; (c) score of 4 or 5 on AP AB calculus exam; (d) score of 3 or higher on AP BC calculus exam; (e) score of 5 or higher on IB Mathematics HL; (f) grade of A or better in Math 116 & 117; (g) grade of A or better in Math 115; (h) ACT math subscore of 34 or higher; (i) both of ACT math subscore of 29 or higher and 4 units HS math; (j) SAT math subscore of 760 or higher; or (k) both of SAT math subscore of 680 or higher and 4 units of HS math.
Course Rules: Max 6 cr in combination of MATH 221 and MATH 222 may count toward Honors College requirements.
General Education Requirements: NS, QLB
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 222 Honors Calculus II
5 cr. Undergraduate.
Continuation of Math 221.
Prerequisites: C or better in Math 221(P) or B or better in Math 232(P); cons instr.
Course Rules: Max of 6 cr in combination of Math 221 & 222 may count toward Honors College reqs.
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 231 Calculus and Analytic Geometry I
4 cr. Undergraduate.
Limits, derivatives, and graphs of algebraic, trigonometric, exponential, and logarithmic functions; antiderivatives, the definite integral, and the fundamental theorem of calculus, with applications.
Prerequisites: Math Placement Level 40, which is earned by any of the following: (a) Level 40 on Math Placement Test; (b) grade of C or better in MATH 115; (c) grade of C or better in both MATH 116 and MATH 117; (d) grade of C or better in both MATH 211 and MATH 117; (e) grade of C or better in MATH 116 and Level 36 or 26 on Math Placement Test; (f) grade of C or better in MATH 211 and Level 36 or 26 on Math Placement Test; (g) grade of C or better in MATH 117 and Level 35 on Math Placement Test; (h) score of 61 or higher on the CLEP Precalculus Exam; (i) ACT math subscore of 32 or higher; (j) both of ACT math subscore of 27 or higher and 4 units HS math; (k) SAT math subscore of 720 or higher; or (l) both of SAT math subscore of 630 or higher and 4 units of HS math.
Course Rules: No credit for students with credit in MATH 213.
General Education Requirements: NS, QLB
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 232 Calculus and Analytic Geometry II
4 cr. Undergraduate.
Continuation of Math 231. Applications of integration, techniques of integration; infinite sequences and series; parametric equations, conic sections, and polar coordinates.
Prerequisites: grade of C or better in Math 231(P) or grade of B or better in Math 213(P).
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 233 Calculus and Analytic Geometry III
4 cr. Undergraduate.
Continuation of MATH 232. Threedimensional analytic geometry and vectors; partial derivatives; multiple integrals; vector calculus, with applications.
Prerequisites: grade of C or better in MATH 232(P).
Course Rules: Counts as repeat of MATH 229.
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 234 Linear Algebra and Differential Equations
4 cr. Undergraduate.
Elementary differential equations. Vectors; matrices; linear transformations; quadratic forms; eigenvalues; applications.
Prerequisites: grade of C or better in Math 232(P).
Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 240 Matrices and Applications
3 cr. Undergraduate.
Vector spaces, systems of linear equations, matrices, determinants, linear transformations, eigenvalues, eigenvectors; selected topics in applications. Emphasizes basic concepts and concrete examples.
Prerequisites: a grade at least C in a MATH or MTHSTAT course numbered 200 or higher, or Math Placement Level 40, earned by any of: (a) Level 40 Math Placement Test; (b) grade at least C in MATH 115; (c) grade at least C in MATH 116 and MATH 117; (d) grade at least C in MATH 211 and MATH 117; (e) grade at least C in MATH 116 & Level 36 or 26 Math Placement Test; (f) grade at least C in MATH 211 & Level 36 or 26 Math Placement Test; (g) grade at least C in MATH 117 & Level 35 Math Placement Test; (h) at least 61 on CLEP Precalculus exam; (i) ACT math subscore of 32 or higher; (j) both of ACT math subscore of 27 or higher and 4 units HS math; (k) SAT math subscore of 720 or higher; or (l) both of SAT math subscore of 630 or higher and 4 units of HS math.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 275 Problem Solving/Critical Thinking for Elementary Education Majors
3 cr. Undergraduate.
Course provides a strong foundation in the exploration, teaching and communication (oral and written) of mathematical concepts via problemsolving experiences and discussion.
Prerequisites: grade of C or better in Math 175(P) or cons instr.
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 276 Algebraic Structures for Elementary Education Majors
3 cr. Undergraduate.
Topics for K8 teachers. Basic patterns and rules that govern number systems, geometric transformations, and manipulation of algebraic expressions.
Prerequisites: grade of C or better in Math 175(P) or cons instr.
Course Rules: Counts as repeat of Math 299 w/same topic.
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 277 Geometry for Elementary Education Majors
3 cr. Undergraduate.
Topics for K8 teachers. Geometry as measuring toolcongruence, similarity, area, volume, and coordinates; geometry as axiomatic systemdefinitions, conjectures, proofs, counterexamples; rigid motions, symmetry.
Prerequisites: grade of C or better in Math 176(P) or cons instr.
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 278 Discrete Probability and Statistics for Elementary Education Majors
3 cr. Undergraduate.
Random experiments; histograms; sample spaces; equally likely outcomes for random experiments; permutations; combinations; binomial, geometric, hypergeometric distributions; expectation; conditional probabilities; max likelihood estimation & inference.
Prerequisites: grade of C or better in Math 176(P) or cons instr.
Course Rules: Math 278 and MthStat 278 are jointly offered; they count as repeats of one another.
Last Taught: Fall 2017, Fall 2016, Fall 2015, Fall 2014.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 290 Topics in Mathematics:
3 cr. Undergraduate.
Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.
Prerequisites: satisfaction of Quantitative Literacy Part A GER.
Course Rules: May be retaken w/chg in topic to 9 cr max.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 297 Study Abroad:
112 cr. Undergraduate.
Designed to enroll students in UWM sponsored programs before course work level, content and credits are determined and/or in specially prepared program course work.
Prerequisites: acceptance for Study Abroad Prog.
Course Rules: May be retaken w/chg in topic.
Last Taught: Spring 2019, Fall 2018, Fall 2017, Spring 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 299 Ad Hoc:
16 cr. Undergraduate.
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Prerequisites: none; add'l prereqs may be assigned to specific topic.
Course Rules: May be retaken w/chg in topic.
Last Taught: Spring 2012, Summer 2007, Spring 2007, Summer 2006.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 305 Introduction to Mathematical and Computational Modeling
3 cr. Undergraduate/Graduate.
Construction and analysis of discrete and continuous mathematical models in applied, natural, and social sciences. Elements of programming, simulations, case studies from scientific literature.
Prerequisites: jr st; grade of C or better in Math 211(P) & one addl 200level or higher Math or MthStat course, or grade of B or better in Math 213(P), or grade of C or better in Math 231(P), or cons instr.
Course Rules: Counts as repeat of Math 690(675) w/topic Adv Math Models with Apps.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 305G Introduction to Mathematical and Computational Modeling
3 cr. Undergraduate/Graduate.
Construction and analysis of discrete and continuous mathematical models in applied, natural, and social sciences. Elements of programming, simulations, case studies from scientific literature.
Prerequisites: jr st; grade of C or better in Math 211(P) & one addl 200level or higher Math or MthStat course, or grade of B or better in Math 213(P), or grade of C or better in Math 231(P), or cons instr.
Course Rules: Counts as repeat of Math 690(675) w/topic Adv Math Models with Apps.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 313 Linear Programming and Optimization
3 cr. Undergraduate/Graduate.
Primal and dual formulations of linear programming problems; simplex and related methods of solution; algorithms for transportation; optimization.
Prerequisites: jr st; grade of C or better in Math/ElecEng 234(P) or Math 240(P); or grad st.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 313G Linear Programming and Optimization
3 cr. Undergraduate/Graduate.
Primal and dual formulations of linear programming problems; simplex and related methods of solution; algorithms for transportation; optimization.
Prerequisites: jr st; grade of C or better in Math/ElecEng 234(P) or Math 240(P); or grad st.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 315 Mathematical Programming and Optimization
3 cr. Undergraduate/Graduate.
Introduction to operations research. Network analysis; integer programming; game theory; nonlinear programming; dynamic programming.
Prerequisites: jr st, grade of C or better in either Math 234(P) or 240(P), & grade of C or better in either Math 211(P) or 233(P); or cons instr; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 315G Mathematical Programming and Optimization
3 cr. Undergraduate/Graduate.
Introduction to operations research. Network analysis; integer programming; game theory; nonlinear programming; dynamic programming.
Prerequisites: jr st, grade of C or better in either Math 234(P) or 240(P), & grade of C or better in either Math 211(P) or 233(P); or cons instr; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 318 Topics in Discrete Mathematics
3 cr. Undergraduate.
Number theory topics related to cryptography; discrete structures including graphs, partial orders, Latin squares and block designs; advanced counting techniques.
Prerequisites: a grade of C or better in CompSci 317(P) or Math 341(P).
Course Rules: Jointly offered with & count as repeat of CompSci 318.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 320 Introduction to Differential Equations
3 cr. Undergraduate/Graduate.
Elementary types and systems of differential equations, series solutions, numerical methods, Laplace transforms, selected applications.
Prerequisites: jr st, grade of C or better in both Math 232(P) & 240(P), or grade of C or better in Math/ElecEng 234(P); or grad st.
Course Rules: No grad cr in Math Sci.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 320G Introduction to Differential Equations
3 cr. Undergraduate/Graduate.
Elementary types and systems of differential equations, series solutions, numerical methods, Laplace transforms, selected applications.
Prerequisites: jr st, grade of C or better in both Math 232(P) & 240(P), or grade of C or better in Math/ElecEng 234(P); or grad st.
Course Rules: No grad cr in Math Sci.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 321 Vector Analysis
3 cr. Undergraduate/Graduate.
Topics selected from vector algebra; scalar and vector fields; line, surface, and volume integrals; theorems of Green, Gauss, and Stokes; vector differential calculus.
Prerequisites: jr st, grade of C or better in Math 233(P); or grad st.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 321G Vector Analysis
3 cr. Undergraduate/Graduate.
Topics selected from vector algebra; scalar and vector fields; line, surface, and volume integrals; theorems of Green, Gauss, and Stokes; vector differential calculus.
Prerequisites: jr st, grade of C or better in Math 233(P); or grad st.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 322 Introduction to Partial Differential Equations
3 cr. Undergraduate/Graduate.
Partial differential equations of mathematical physics, boundary value problems in heat flow, vibrations, potentials, etc. Solved by Fourier series; Bessel functions and Legendre polynomials.
Prerequisites: jr st, Math 320(P), & grade of C or better in Math 233(P); or grad st.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 322G Introduction to Partial Differential Equations
3 cr. Undergraduate/Graduate.
Partial differential equations of mathematical physics, boundary value problems in heat flow, vibrations, potentials, etc. Solved by Fourier series; Bessel functions and Legendre polynomials.
Prerequisites: jr st, Math 320(P), & grade of C or better in Math 233(P); or grad st.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 341 Seminar: Introduction to the Language and Practice of Mathematics
3 cr. Undergraduate.
Facility with mathematical language and method of conjecture, proof and counter example, with emphasis on proofs. Topics: logic, sets, functions and others.
Prerequisites: Math Placement Level 40, which is earned by any of the following: (a) Level 40 on Math Placement Test; (b) grade of C or better in MATH 115; (c) grade of C or better in both MATH 116 and MATH 117; (d) grade of C or better in both MATH 211 and MATH 117; (e) grade of C or better in MATH 116 and Level 36 or 26 on Math Placement Test; (f) grade of C or better in MATH 211 and Level 36 or 26 on Math Placement Test; (g) grade of C or better in MATH 117 and Level 35 on Math Placement Test; (h) score of 61 or higher on the CLEP Precalculus Exam; (i) ACT math subscore of 32 or higher; (j) both of ACT math subscore of 27 or higher and 4 units HS math; (k) SAT math subscore of 720 or higher; or (l) both of SAT math subscore of 630 or higher and 4 units of HS math.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 345 Mathematics from a Historical Perspective:
3 cr. Undergraduate.
Topics from the development of mathematics, such as famous problems, mathematicians, calculating devices; chronological outlines. Significant reading and writing assignments.
Prerequisites: Grade of C or better in Math 232(P); satisfaction of OWCA.
Course Rules: May be retaken w/chg in topic to 9 cr max. Add'l prereqs announced in SOC each offering.
General Education Requirements: OWCB
Last Taught: Fall 2019, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 371 Introduction to Stochastic Models in Finance
3 cr. Undergraduate/Graduate.
Elementary modeling of financial instruments for students in mathematics, economics, business, etc. Statistical and stochastic tools leading to the BlackScholes model. Real data parameter fitting.
Prerequisites: jr st & one of the following pairs; Econ 413(431)(P) & 506(P), Bus Adm 210(P) & 350(P), Bus Adm 701(P) & 702(P), or Math 234(P) & MthStat 361(P), or cons instr; or grad st.
Last Taught: Fall 2001, Fall 2000.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 371G Introduction to Stochastic Models in Finance
3 cr. Undergraduate/Graduate.
Elementary modeling of financial instruments for students in mathematics, economics, business, etc. Statistical and stochastic tools leading to the BlackScholes model. Real data parameter fitting.
Prerequisites: jr st & one of the following pairs; Econ 413(431)(P) & 506(P), Bus Adm 210(P) & 350(P), Bus Adm 701(P) & 702(P), or Math 234(P) & MthStat 361(P), or cons instr; or grad st.
Last Taught: Fall 2001, Fall 2000.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 381 Honors Seminar:
3 cr. Undergraduate.
Significant topics to illustrate to nonmathematicians the characteristic features of mathematical thought. Only H.S. algebra and geometry assumed.
Prerequisites: soph st; Honors 200(P); cons Honors College dir.
Course Rules: May be retaken w/chg in topic to 9 cr max. Not open for cr toward a major in Math.
General Education Requirements: NS
Last Taught: Fall 2015, Fall 2013, Spring 2011, Spring 2010.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 405 Mathematical Models and Applications
3 cr. Undergraduate/Graduate.
Modeling techniques for analysis and decisionmaking in social and life sciences and industry. Deterministic and stochastic modeling. Topics may vary with instructors.
Prerequisites: jr st; one of: grade of C or better in Math 211(P), grade of B or better in Math 213(P), or grade of C or better in Math 231(P); & grade of C or better in either Math/ElecEng 234(P) or Math 240(P); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 405G Mathematical Models and Applications
3 cr. Undergraduate/Graduate.
Modeling techniques for analysis and decisionmaking in social and life sciences and industry. Deterministic and stochastic modeling. Topics may vary with instructors.
Prerequisites: jr st; one of: grade of C or better in Math 211(P), grade of B or better in Math 213(P), or grade of C or better in Math 231(P); & grade of C or better in either Math/ElecEng 234(P) or Math 240(P); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 413 Introduction to Numerical Analysis
3 cr. Undergraduate/Graduate.
Root finding and solution of nonlinear systems; direct solution of linear systems; interpolation & approximation of functions; least squares; fast Fourier transform; quadrature.
Prerequisites: jr st, grade of C or better in Math 233(C), & grade of C or better in Math/ElecEng 234(C); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 413G Introduction to Numerical Analysis
3 cr. Undergraduate/Graduate.
Root finding and solution of nonlinear systems; direct solution of linear systems; interpolation & approximation of functions; least squares; fast Fourier transform; quadrature.
Prerequisites: jr st, grade of C or better in Math 233(C), & grade of C or better in Math/ElecEng 234(C); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 415 Introduction to Scientific Computing
3 cr. Undergraduate/Graduate.
Nonlinear systems; iterative solution of linear systems; initial value problems in ordinary differential equations; boundary value problems in ordinary and partial differential equations.
Prerequisites: jr st, grade of C or better in Math 233(C), & grade of C or better in Math/ElecEng 234(C); or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 415G Introduction to Scientific Computing
3 cr. Undergraduate/Graduate.
Nonlinear systems; iterative solution of linear systems; initial value problems in ordinary differential equations; boundary value problems in ordinary and partial differential equations.
Prerequisites: jr st, grade of C or better in Math 233(C), & grade of C or better in Math/ElecEng 234(C); or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 417 Computational Linear Algebra
3 cr. Undergraduate/Graduate.
Direct solution of linear systems; iterative solution of linear systems; least squares; eigenvalue problems.
Prerequisites: jr st & grade of C or better in Math/ElecEng 234(P) or Math 240(P); or grad st.
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 417G Computational Linear Algebra
3 cr. Undergraduate/Graduate.
Direct solution of linear systems; iterative solution of linear systems; least squares; eigenvalue problems.
Prerequisites: jr st & grade of C or better in Math/ElecEng 234(P) or Math 240(P); or grad st.
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 423 Complex Analysis
3 cr. Undergraduate/Graduate.
Complex numbers; definition and properties of analytic functions of a complex variable; conformal mapping; calculus of residues; applications to mathematics and physics. See also Math 713.
Prerequisites: jr st; grade of C or better in Math 233(P); or grad st.
Last Taught: Fall 2009, Spring 1999.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 423G Complex Analysis
3 cr. Undergraduate/Graduate.
Complex numbers; definition and properties of analytic functions of a complex variable; conformal mapping; calculus of residues; applications to mathematics and physics. See also Math 713.
Prerequisites: jr st; grade of C or better in Math 233(P); or grad st.
Last Taught: Fall 2009, Spring 1999.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 431 Modern Algebra with Applications
3 cr. Undergraduate/Graduate.
Groups, rings, fields, Boolean algebras with emphasis on their applications to computer science and other areas.
Prerequisites: jr st & grade of C or better in Math 232(P); or grad st.
Course Rules: Does not carry grad cr in math sci.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 431G Modern Algebra with Applications
3 cr. Undergraduate/Graduate.
Groups, rings, fields, Boolean algebras with emphasis on their applications to computer science and other areas.
Prerequisites: jr st & grade of C or better in Math 232(P); or grad st.
Course Rules: Does not carry grad cr in math sci.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 451 Axiomatic Geometry
3 cr. Undergraduate/Graduate.
An axiomatic approach to Euclidean and nonEuclidean geometry (historic role of the parallel postulate and models).
Prerequisites: jr st, grade of C or better in both Math 341(P) & Math 232(C); or grad st.
Course Rules: Dept cons req'd for grad cr in math sci.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 451G Axiomatic Geometry
3 cr. Undergraduate/Graduate.
An axiomatic approach to Euclidean and nonEuclidean geometry (historic role of the parallel postulate and models).
Prerequisites: jr st, grade of C or better in both Math 341(P) & Math 232(C); or grad st.
Course Rules: Dept cons req'd for grad cr in math sci.
Last Taught: Fall 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 453 Transformations in Geometry
3 cr. Undergraduate/Graduate.
Selected topics from vector geometry and geometric transformations such as the study of invariants and conics.
Prerequisites: jr st, grade of C or better in both Math 341(P) & Math 232(C); or grad st.
Course Rules: Recom for secondary school teachers. Dept cons req'd for grad cr in math sci.
Last Taught: Summer 2007, Summer 2005.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 453G Transformations in Geometry
3 cr. Undergraduate/Graduate.
Selected topics from vector geometry and geometric transformations such as the study of invariants and conics.
Prerequisites: jr st, grade of C or better in both Math 341(P) & Math 232(C); or grad st.
Course Rules: Recom for secondary school teachers. Dept cons req'd for grad cr in math sci.
Last Taught: Summer 2007, Summer 2005.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 489 Internship in Mathematics, Upper Division
16 cr. Undergraduate.
Application of advanced principles of mathematics in a business, organizational, educational, governmental, or other appropriate setting.
Prerequisites: jr st; 6 cr 300level or above in math or math stats; 2.5 gpa in the major; cons supervising faculty member.
Course Rules: One cr earned for academic work based on 40 hours in internship. May be retaken to 6 cr max.
Last Taught: Summer 2019, Spring 2019, Fall 2018, Summer 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 490 Topics in Mathematics:
3 cr. Undergraduate/Graduate.
Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered. May be retaken w/chg in topic to 9 cr max.
Prerequisites: jr st; grade of C or better in a Math or MthStat course at the 200 level or above; or grad st.
Last Taught: Spring 2020, UWinteriM 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 490G Topics in Mathematics:
3 cr. Undergraduate/Graduate.
Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered. May be retaken w/chg in topic to 9 cr max.
Prerequisites: jr st; grade of C or better in a Math or MthStat course at the 200 level or above; or grad st.
Last Taught: Spring 2020, UWinteriM 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 497 Study Abroad:
112 cr. Undergraduate/Graduate.
Designed to enroll students in UWM sponsored programs before course work level, content and credits are determined and/or in specially prepared program course work.
Prerequisites: jr st; acceptance for Study Abroad Prog.
Course Rules: May be retaken w/chg in topic.
Last Taught: Fall 2018, Fall 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 497G Study Abroad:
112 cr. Undergraduate/Graduate.
Designed to enroll students in UWM sponsored programs before course work level, content and credits are determined and/or in specially prepared program course work.
Prerequisites: jr st; acceptance for Study Abroad Prog.
Course Rules: May be retaken w/chg in topic.
Last Taught: Fall 2018, Fall 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 499 Ad Hoc:
16 cr. Undergraduate.
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Prerequisites: jr st; add'l prereqs may be assigned to specific topic.
Course Rules: May be retaken w/chg in topic.
Last Taught: Spring 2010, Spring 2008, Fall 2007, Fall 1999.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 511 Symbolic Logic
3 cr. Undergraduate/Graduate.
Firstorder predicate calculus; formal properties of theoretical systems; chief results of modern mathematical logic; advanced topics such as completeness and computability.
Prerequisites: jr st & either Philos 212(P) or 6 cr in math at the 300level or above.
Course Rules: CompSci 511, Math 511 & Philos 511 are jointly offered; they count as repeats of one another.
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 511G Symbolic Logic
3 cr. Undergraduate/Graduate.
Firstorder predicate calculus; formal properties of theoretical systems; chief results of modern mathematical logic; advanced topics such as completeness and computability.
Prerequisites: jr st & either Philos 212(P) or 6 cr in math at the 300level or above.
Course Rules: CompSci 511, Math 511 & Philos 511 are jointly offered; they count as repeats of one another.
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 521 Advanced Calculus I
3 cr. Undergraduate/Graduate.
Fundamental notions of sets and functions; limits, continuity; Riemann integral, improper integral; infinite series; uniform convergence; power series; improper integrals with a parameter.
Prerequisites: jr st; grades of C or better in Math 232(P) & 341(P); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 521G Advanced Calculus I
3 cr. Undergraduate/Graduate.
Fundamental notions of sets and functions; limits, continuity; Riemann integral, improper integral; infinite series; uniform convergence; power series; improper integrals with a parameter.
Prerequisites: jr st; grades of C or better in Math 232(P) & 341(P); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 522 Advanced Calculus II
3 cr. Undergraduate/Graduate.
Linear functions; differentiation of functions of several variables (implicit functions, Jacobians); change of variable in multiple integrals; integrals over curves, surfaces; Green, Gauss, Stokes theorems.
Prerequisites: jr st, Math 521(P), grade of C or better in Math 233(P), & grade of C or better in either Math 234(P) or 240(P); or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 522G Advanced Calculus II
3 cr. Undergraduate/Graduate.
Linear functions; differentiation of functions of several variables (implicit functions, Jacobians); change of variable in multiple integrals; integrals over curves, surfaces; Green, Gauss, Stokes theorems.
Prerequisites: jr st, Math 521(P), grade of C or better in Math 233(P), & grade of C or better in either Math 234(P) or 240(P); or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 531 Modern Algebra
3 cr. Undergraduate/Graduate.
Integers; groups; rings; fields; emphasis on proofs.
Prerequisites: jr st; grade of C or better in Math 341(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 531G Modern Algebra
3 cr. Undergraduate/Graduate.
Integers; groups; rings; fields; emphasis on proofs.
Prerequisites: jr st; grade of C or better in Math 341(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 535 Linear Algebra
3 cr. Undergraduate/Graduate.
Vector spaces; systems of linear equations; linear transformations and matrices; bilinear, quadratic, and Hermitian forms; eigentheory; canonical forms; selected topics. Emphasizes theory and proof.
Prerequisites: junior standing, a grade of C or better in MATH 234(P) or MATH 240(P), and a grade of C or better in MATH 341(P); or graduate standing.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 535G Linear Algebra
3 cr. Undergraduate/Graduate.
Vector spaces; systems of linear equations; linear transformations and matrices; bilinear, quadratic, and Hermitian forms; eigentheory; canonical forms; selected topics. Emphasizes theory and proof.
Prerequisites: junior standing, a grade of C or better in MATH 234(P) or MATH 240(P), and a grade of C or better in MATH 341(P); or graduate standing.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 537 Number Theory
3 cr. Undergraduate/Graduate.
Number theoretic functions; distribution of primes; Diophantine approximation; partitions; additive number theory; quadratic reciprocity.
Prerequisites: jr st, grade of C or better in both Math 232(P) & 341(P); or grad st.
Last Taught: Spring 2019, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 537G Number Theory
3 cr. Undergraduate/Graduate.
Number theoretic functions; distribution of primes; Diophantine approximation; partitions; additive number theory; quadratic reciprocity.
Prerequisites: jr st, grade of C or better in both Math 232(P) & 341(P); or grad st.
Last Taught: Spring 2019, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 551 Elementary Topology
3 cr. Undergraduate/Graduate.
General theory of point sets in Euclidean spaces, with emphasis on topology of twodimensional and threedimensional spaces; elementary notions of metric spaces; applications.
Prerequisites: jr st; grades of C or better in Math 233(P) & 341(P); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 551G Elementary Topology
3 cr. Undergraduate/Graduate.
General theory of point sets in Euclidean spaces, with emphasis on topology of twodimensional and threedimensional spaces; elementary notions of metric spaces; applications.
Prerequisites: jr st; grades of C or better in Math 233(P) & 341(P); or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 553 Differential Geometry
3 cr. Undergraduate/Graduate.
The theory of curves and surfaces by differential methods.
Prerequisites: jr st, grade of C or better in all of Math 233(P), 234(P) & 341(P); or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 553G Differential Geometry
3 cr. Undergraduate/Graduate.
The theory of curves and surfaces by differential methods.
Prerequisites: jr st, grade of C or better in all of Math 233(P), 234(P) & 341(P); or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 571 Introduction to Probability Models
3 cr. Undergraduate/Graduate.
Probability review, Markov chains in discrete and continuous time. Random walks, branching processes, birth and death processes. Queuing theory. Applications to physical sciences, engineering, mathematics.
Prerequisites: jr st; grade of C or better in Math 233(P); grade of C or better in Math/ElecEng 234(P) or in both Math 240(P) & 320(P); & one calculusbased course in statistics or probability at the 300 level or above; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 571G Introduction to Probability Models
3 cr. Undergraduate/Graduate.
Probability review, Markov chains in discrete and continuous time. Random walks, branching processes, birth and death processes. Queuing theory. Applications to physical sciences, engineering, mathematics.
Prerequisites: jr st; grade of C or better in Math 233(P); grade of C or better in Math/ElecEng 234(P) or in both Math 240(P) & 320(P); & one calculusbased course in statistics or probability at the 300 level or above; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 575 High School Mathematics from an Advanced Viewpoint
3 cr. Undergraduate/Graduate.
Number systems; algebra of polynomials; theory of equations; functions; modeling; geometric measurement; geometric transformations; connections between advanced mathematics and high school topics.
Prerequisites: jr st, MATH 341(P) and an additional 6 credits of Math at the 300 level or above; or cons instr; or grad st.
Course Rules: Counts as repeat of MATH 690 with similar topic.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 575G High School Mathematics from an Advanced Viewpoint
3 cr. Undergraduate/Graduate.
Number systems; algebra of polynomials; theory of equations; functions; modeling; geometric measurement; geometric transformations; connections between advanced mathematics and high school topics.
Prerequisites: jr st, MATH 341(P) and an additional 6 credits of Math at the 300 level or above; or cons instr; or grad st.
Course Rules: Counts as repeat of MATH 690 with similar topic.
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 581 Introduction to the Theory of Chaotic Dynamical Systems
3 cr. Undergraduate/Graduate.
Iterated mappings, one parameter families, attracting and repelling periodic orbits, topological transitivity, Sarkovski's theorem, chaos, bifurcation theory, period doubling route to chaos, horseshoe maps, attractors.
Prerequisites: jr st & Math 521(P), 529(P) or 621(P), or cons instr; or grad st.
Last Taught: Spring 2016, Spring 2014.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 581G Introduction to the Theory of Chaotic Dynamical Systems
3 cr. Undergraduate/Graduate.
Iterated mappings, one parameter families, attracting and repelling periodic orbits, topological transitivity, Sarkovski's theorem, chaos, bifurcation theory, period doubling route to chaos, horseshoe maps, attractors.
Prerequisites: jr st & Math 521(P), 529(P) or 621(P), or cons instr; or grad st.
Last Taught: Spring 2016, Spring 2014.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 591 Undergraduate Seminar:
1 cr. Undergraduate.
Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.
Prerequisites: jr st; cons instr.
Course Rules: May be retaken w/chg in topic to 4 cr max.
Last Taught: Spring 2018, Fall 2017, Spring 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 599 Capstone Experience
1 cr. Undergraduate.
Student writes a paper under supervision of an advisor on an approved topic not covered in the student's regular course work.
Prerequisites: sr st; cons instr.
Course Rules: May be retaken w/chg in topic to 2 cr max.
Last Taught: Spring 2020, Fall 2019, Summer 2019, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 601 Advanced Engineering Mathematics I
3 cr. Undergraduate/Graduate.
Sequences and series, elementary complex analysis; Fourier series; linear and nonlinear ordinary differential equations; matrix theory, elementary functional analysis; elementary solution of partial differential equations.
Prerequisites: jr st; grade of C or better in both of Math 233(P) and Math/ElecEng 234(P); 3 cr Math at 300level or above; or cons instr; or grad st.
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 601G Advanced Engineering Mathematics I
3 cr. Undergraduate/Graduate.
Sequences and series, elementary complex analysis; Fourier series; linear and nonlinear ordinary differential equations; matrix theory, elementary functional analysis; elementary solution of partial differential equations.
Prerequisites: jr st; grade of C or better in both of Math 233(P) and Math/ElecEng 234(P); 3 cr Math at 300level or above; or cons instr; or grad st.
Last Taught: Fall 2018, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 602 Advanced Engineering Mathematics II
3 cr. Undergraduate/Graduate.
Continuation of Math 601. Partial differential equations, Fourier and Laplace transforms, convolutions, special functions, mathematical modeling.
Prerequisites: jr st; Math 601(P).
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 602G Advanced Engineering Mathematics II
3 cr. Undergraduate/Graduate.
Continuation of Math 601. Partial differential equations, Fourier and Laplace transforms, convolutions, special functions, mathematical modeling.
Prerequisites: jr st; Math 601(P).
Last Taught: Spring 2019, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 615 Numerical Solution of Partial Differential Equations
3 cr. Undergraduate/Graduate.
Finite difference solution of elliptic boundary value problems and of evolution problems; solution of hyperbolic conservation laws; finite volume methods; finite element methods.
Prerequisites: jr st; Math 413(P), 415(414)(P), or 417(416)(P); Math 322(P) or 602(P); or cons instr.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 615G Numerical Solution of Partial Differential Equations
3 cr. Undergraduate/Graduate.
Finite difference solution of elliptic boundary value problems and of evolution problems; solution of hyperbolic conservation laws; finite volume methods; finite element methods.
Prerequisites: jr st; Math 413(P), 415(414)(P), or 417(416)(P); Math 322(P) or 602(P); or cons instr.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 617 Optimization
3 cr. Undergraduate/Graduate.
Unconstrained and constrained optimization: linear, nonlinear, and dynamic programming; barrier, penalty, and Lagrangian methods; KarushKuhnTucker theory, quadratic, and sequential quadratic programming; evolutionary algorithms.
Prerequisites: jr st; Math 321(P) or 602(P); or grad st or cons instr.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 617G Optimization
3 cr. Undergraduate/Graduate.
Unconstrained and constrained optimization: linear, nonlinear, and dynamic programming; barrier, penalty, and Lagrangian methods; KarushKuhnTucker theory, quadratic, and sequential quadratic programming; evolutionary algorithms.
Prerequisites: jr st; Math 321(P) or 602(P); or grad st or cons instr.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 621 Introduction to Analysis I
3 cr. Undergraduate/Graduate.
Topology of Euclidean space; continuity; differentiation of real and vectorvalued functions; RiemannStieltjes integration.
Prerequisites: jr st: grades of C or better in Math 233(P), 341(P), & either 234(P) or 240(P); cons dept advisor; or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 621G Introduction to Analysis I
3 cr. Undergraduate/Graduate.
Topology of Euclidean space; continuity; differentiation of real and vectorvalued functions; RiemannStieltjes integration.
Prerequisites: jr st: grades of C or better in Math 233(P), 341(P), & either 234(P) or 240(P); cons dept advisor; or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 622 Introduction to Analysis II
3 cr. Undergraduate/Graduate.
Continues Math 621. Sequences and series of functions; uniform convergence; power series; functions of several variables; inverse and implicit function theorems; differential forms; Stokes' theorem.
Prerequisites: jr st; Math 621(P) or cons instr; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 622G Introduction to Analysis II
3 cr. Undergraduate/Graduate.
Continues Math 621. Sequences and series of functions; uniform convergence; power series; functions of several variables; inverse and implicit function theorems; differential forms; Stokes' theorem.
Prerequisites: jr st; Math 621(P) or cons instr; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 631 Modern Algebra I
3 cr. Undergraduate/Graduate.
Group theory, including normal subgroups, quotients, permutation groups, Sylow's theorems, Abelian groups; field theory; linear algebra over general fields.
Prerequisites: jr st; grade of C or better in Math 341(P) & either Math 234(P) or 240(P); cons dept advisor; or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 631G Modern Algebra I
3 cr. Undergraduate/Graduate.
Group theory, including normal subgroups, quotients, permutation groups, Sylow's theorems, Abelian groups; field theory; linear algebra over general fields.
Prerequisites: jr st; grade of C or better in Math 341(P) & either Math 234(P) or 240(P); cons dept advisor; or grad st.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 632 Modern Algebra II
3 cr. Undergraduate/Graduate.
Continuation of Math 631. Ring theory, including ideals, quotient rings, Euclidean rings, polynomial rings, unique factorization; modules, including vector spaces, linear transformations, canonical forms; bilinear forms.
Prerequisites: jr st; Math 631(P) or cons instr; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 632G Modern Algebra II
3 cr. Undergraduate/Graduate.
Continuation of Math 631. Ring theory, including ideals, quotient rings, Euclidean rings, polynomial rings, unique factorization; modules, including vector spaces, linear transformations, canonical forms; bilinear forms.
Prerequisites: jr st; Math 631(P) or cons instr; or grad st.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 690 Topics in Mathematics:
3 cr. Undergraduate/Graduate.
Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.
Prerequisites: jr st, at least one U/G Math or MthStat course; cons instr; or grad st.
Course Rules: May be retaken w/chg in topic to 9 cr max.
Last Taught: Summer 2020, Summer 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 690G Topics in Mathematics:
3 cr. Undergraduate/Graduate.
Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.
Prerequisites: jr st, at least one U/G Math or MthStat course; cons instr; or grad st.
Course Rules: May be retaken w/chg in topic to 9 cr max.
Last Taught: Summer 2020, Summer 2015.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 699 Independent Reading
13 cr. Undergraduate.
See Advanced Independent Study. For further information, consult dept chair.
Prerequisites: jr st; 2.0 GPA, consent of instructor, department chair, and Assistant Dean for Student Academic Services.
Course Rules: May be retaken with change in topic.
Last Taught: Spring 2020, Summer 2019, Spring 2019, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 701 Industrial Mathematics I
3 cr. Graduate.
Elementary functional analysis, wavelets, control theory. Use of mathematical software emphasized throughout.
Prerequisites: grad st in nat sci discipline; Math 522(P) or 602(P) or 622(P).
Last Taught: Fall 2019, Fall 2017, Fall 2015, Fall 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 702 Industrial Mathematics II
3 cr. Graduate.
Optimal control theory, digital signal processing, image processing, linear programming, nonlinear optimation, artificial neural networks. Use of mathematical software emphasized throughout.
Prerequisites: grad st in nat sci discipline; Math 701(P).
Last Taught: Spring 2020, Spring 2018, Spring 2014, Spring 2012.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 703 Boundary Value Problems
3 cr. Graduate.
Analytic methods for PDE's in mathematical physics, emphasis on green's functions. Theory of distributions, fundamental solutions, generalized eigenfunction expansions, generalized fourier and laplace transforms.
Prerequisites: grad st; Math 322(P) & 623(P).
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 709 Differential Geometry
3 cr. Graduate.
The theory of curves, surfaces, and manifolds in modern terminology. Global results on closed surfaces, geodesics, differential forms and tensor calculus.introduction to riemanniam geometry.
Prerequisites: grad st; Math 522(P) or 622(P).
Last Taught: Fall 2007, Fall 2000.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 711 Theory of Functions of a Real Variable I
3 cr. Graduate.
Equivalence relations; cardinal and ordinal numbers; topology of real line; cantor and borel sets; lebesgue measure on real line; baire and measurable functions; lebesgue integral.
Prerequisites: grad st; Math 522(P) & 551(P); or Math 622(P).
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 712 Theory of Functions of a Real Variable II
3 cr. Graduate.
Lebesgue integration; modes of convergence; lp spaces; vitali covering and lebesgue density theorems; dini derivates; differentiation; fundamental theorem of the lebesgue integral calculus; fubini's theorem.
Prerequisites: grad st; Math 711(P).
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 713 Theory of Functions of a Complex Variable I
3 cr. Graduate.
Complex numbers; linear transformations; elementary functions; conformal mapping; complex integration; infinite sequences; dirichlet problem; multivalued functions.
Prerequisites: grad st; Math 522(P) or 621(P).
Last Taught: Fall 2018, Fall 2016, Fall 2014, Fall 2012.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 714 Theory of Functions of a Complex Variable II
3 cr. Graduate.
Continuation of Math 713.
Prerequisites: grad st; Math 713(P).
Last Taught: Spring 2019, Spring 2017, Spring 2015, Spring 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 715 Numerical Analysis
3 cr. Graduate.
Interpolation and approximation; differentiation and quadrature; numerical solution of ordinary differential equations; solution of linear and nonlinear algebraic equations.
Prerequisites: grad st; Math 413(P); Math 521(P) or 621(P).
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 716 Ordinary Differential Equations
3 cr. Graduate.
Existence and uniqueness theorems for systems of ode; qualitative properties of solutions, including stability and asymptotic behavior; general theory of linear systems; sturmliouville problems.
Prerequisites: grad st; Math 522(P) or 622(P).
Last Taught: Fall 2019, Fall 2017, Fall 2015, Fall 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 719 Partial Differential Equations
3 cr. Graduate.
First and second order equations; characteristics, cauchy problem; classical solutions of linear elliptic, parabolic and hyperbolic equations.
Prerequisites: grad st; Math 522(P) or 622(P); math 320(P).
Last Taught: Spring 2020, Spring 2018, Spring 2016, Spring 2014.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 721 Abstract Measure and Integration
3 cr. Graduate.
General theory of measures and integration; differentiation of set functions; relation to stochastic variables; atomic measures; haar measure and integral applications to probability theory.
Prerequisites: grad st; Math 712(P).
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 726 Introduction to Functional Analysis
3 cr. Graduate.
Basic notions of functional analysis in hilbert space will be introduced. The concepts will be illustrated by applications to elementary differential and integral equation problems.
Prerequisites: grad st; Math 522(P) or 622(P).
Last Taught: Fall 2018, Fall 2016, Fall 2014, Fall 2012.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 731 Abstract Algebra I
3 cr. Graduate.
Basic course which is prerequisite for all other 700799 level courses in algebra; groups, rings, fields, galois theory, modules, and categories.
Prerequisites: grad st; Math 632(P); cons instr.
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 732 Abstract Algebra II
3 cr. Graduate.
Continuation of Math 731.
Prerequisites: grad st; Math 731(P).
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 735 Theory of Groups
3 cr. Graduate.
Topics selected from permutation groups; representations of groups and algebras; group algebras; group characters; extension problems; simple groups; solvable and nilpotent groups.
Prerequisites: grad st; Math 732(P).
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 736 Theory of Rings and Modules I
3 cr. Graduate.
Noetherian and artinian rings and modules; primitive, prime and simple rings and ideals; radicals; localization; morita theory; construction and study of special classes of rings.
Prerequisites: grad st; Math 732(P).
Last Taught: Fall 2005, Fall 1991, Fall 1988, Fall 1986.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 737 Theory of Rings and Modules II
3 cr. Graduate.
Continuation of Math 736.
Prerequisites: grad st; Math 736(P) or cons instr.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 751 Introductory Topology I
3 cr. Graduate.
Fundamental properties and examples of topological spaces and continuous functions, including compactness, connectedness, metrizability, completeness, product and quotient spaces, homeomorphisms, embedding, extension, and euclidean spaces.
Prerequisites: grad st; Math 522(P) or 621(P).
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 752 Introductory Topology II
3 cr. Graduate.
Continuation of Math 751.
Prerequisites: grad st; Math 751(P).
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 753 Introduction to Algebraic Topology I
3 cr. Graduate.
Homology theory; complexes and simplicial homology theory; general homology theories; cohomology rings; applications to manifolds, fixed point theorems, etc.
Prerequisites: grad st; Math 632(P); Math 551(P) or 751(P) or cons instr.
Last Taught: Fall 2018, Fall 2016, Fall 2014, Fall 2012.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 754 Introduction to Algebraic Topology II
3 cr. Graduate.
Continuation of Math 753.
Prerequisites: grad st; Math 753(P).
Last Taught: Spring 2019, Spring 2017, Spring 2015, Spring 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 767 Statistical Methods for Engineers and Scientists
3 cr. Graduate.
Elementary baysian decision theory; prior posterior and predictive distributions; posterior and preposterior analysis of two action decision problems; concept of likelihood functions for binomial, poisson, exponential and normal distributions; simple and multiple regression analysis; introduction to autoregressive models.
Prerequisites: grad st; Math 362(P) or math 467(P).
Course Rules: Not open to students who have cr in ElecEng 767, which is identical to Math 767.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 768 Applied Stochastic Processes
3 cr. Graduate.
Concepts in queueing theory; exponential channels; applications of markov chains to queueing problems; queue disciplines with priorities.
Prerequisites: grad st; Math 361(P) or math 467(P).
Course Rules: Not open to students who have cr in ElecEng 768, which is identical to Math 768.
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 771 Theory of Probability
3 cr. Graduate.
Measuretheoretic foundations; limitlaw theorems; weak and strong laws of large numbers; central limit problem; conditional expectations, martingales; stochastic processes.
Prerequisites: grad st; Math 471(C) or 712(C).
Last Taught: Spring 2020, Spring 2018, Spring 2017, Spring 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 781 Iterated Maps as Dynamical Systems
3 cr. Graduate.
Periodic, recurrent and nonwandering points, kneading theory, unstable manifolds, unimodal mappings, turbulent and chaotic maps, symbolic dynamics, structural stability, topological conjugacy, topological dynamics.
Prerequisites: grad st; Math 711(P) or cons instr.
Last Taught: Fall 2000, Fall 1993, Fall 1992.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 790 Master's Thesis
13 cr. Graduate.
Prerequisites: grad st; cons instr.
Course Rules: Cr count toward masters degree only if student completes thesis option.
Last Taught: Summer 2020, Spring 2020, Spring 2019, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 791 Master's Seminar
13 cr. Graduate.
Prerequisites: grad st; cons instr.
Course Rules: May not be taken for cr more than once.
Last Taught: Spring 2020, Summer 2018, Spring 2014, Fall 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 792 Industrial Internship
13 cr. Graduate.
Students earn credits for serving in an industrial internship that involves work of an advanced mathematical nature. They must prepare a report based on the internship.
Prerequisites: grad st; cons instr.
Course Rules: Retakable w/chg in topic to 6 cr max.
Last Taught: Summer 2019, Summer 2018, Summer 2017, Summer 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 793 Scientific Computational Laboratory:
12 cr. Graduate.
Prerequisites: grad st; Math 715(C).
Course Rules: Retakable w/chg in topic to 6 cr max.
Last Taught: Spring 2019, Spring 2017, Spring 2015, Spring 2006.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 799 Seminar in Mathematics:
13 cr. Graduate.
Specific topics and any additional prerequisites announced in Timetable each time course is offered.
Prerequisites: grad st & cons instr.
Course Rules: Retakable w/chg in topic to 9 cr max.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 801 Topics in Applied Mathematics:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; cons instr.
Course Rules: Retakable w/chg in topic to 24 cr max.
Last Taught: Fall 2018, Fall 2016, Spring 2015, Fall 2008.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 807 Group Theory and Its Applications to Physics
3 cr. Graduate.
Representations of discrete and continuous groups, including rotation groups, unitary groups and crystal point and space groups. Symmetries of elementary particles. Molecular obitals, energy bands.
Prerequisites: grad st; Physics 532(P).
Course Rules: Counts as a repeat of Physics 807.
Last Taught: Spring 2019, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 809 Topics in Differential Geometry:
13 cr. Graduate.
Topics may be selected from Riemannian geometry, minimal surfaces and surfaces of prescribed mean curvature, geometric partial differential equations, or related areas of geometry. Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered
Prerequisites: grad st; cons instr.
Course Rules: Retakable w/chg in topic to 24 cr max.
Last Taught: Spring 2008, Spring 2001.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 813 Numerical Solution of Ordinary Differential Equations
3 cr. Graduate.
Methods for initial value and boundary value problems; stiff equations, singular points and bifurcation.
Prerequisites: grad st; Math 715(P).
Last Taught: Fall 2001, Fall 1998, Fall 1987, Fall 1986.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 814 Numercal Solution of Partial Differential Equations
3 cr. Graduate.
Finite difference and finite element methods for linear elliptic, parabolic and hyperbolic equations; nonlinear equations.
Prerequisites: grad st; Math 715(P).
Last Taught: Spring 2012, Spring 2007, Spring 2006, Spring 1991.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 815 Topics in Numerical Analysis:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; Math 715(P).
Course Rules: Retakable w/chg in topic to 24 cr max.
Last Taught: Spring 2020, Spring 2018, Spring 2017, Spring 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 816 Advanced Ordinary Differential Equations
3 cr. Graduate.
Existence and uniqueness theorems; singularity of solutions; oscillation and comparison theorems; poincarebendixon theory.
Prerequisites: grad st; Math 716(P).
Last Taught: Spring 2010, Spring 2006, Spring 2004, Fall 1992.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 817 Advanced Ordinary Differential Equations II
3 cr. Graduate.
Continuation of Math 816; dynamical systems, bifurcation theory, topological methods.
Prerequisites: grad st; Math 816(P).
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 821 Advanced Topics in Real Analysis:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; Math 712(P).
Course Rules: Retakable w/chg in topic to 24 cr max.
Last Taught: Spring 2019, Fall 2017, Fall 2012, Fall 1998.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 825 Functional Analysis
3 cr. Graduate.
Basic theorems of bspaces and fspaces including the closed graph; HahnBanach and BanachSteinhaus theorems; Banach algebras; generalized functions; spectral theory.
Prerequisites: grad st; Math 712(P).
Last Taught: Spring 2013, Fall 1998, Fall 1994, Fall 1993.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 841 Advanced Topics in Algebra:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; Math 732(P); cons instr.
Course Rules: Retakable w/chg in topic to 24 cr max.
Last Taught: Fall 2018, Spring 2018, Fall 2017, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 843 Homological Algebra I
3 cr. Graduate.
Modules; diagrams; categories; functors; complexes; cohomology; extensions; resolutions; injective and projective systems; graded modules; homological dimension; spectral sequences; derived functors.
Prerequisites: grad st; Math 731(P).
Last Taught: Fall 2019, Fall 2015, Fall 2010, Fall 2002.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 844 Homological Algebra II
3 cr. Graduate.
Continuation of Math 843.
Prerequisites: grad st; Math 843(P).
Last Taught: Spring 2020, Spring 2016, Spring 2011, Spring 2003.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 851 Advanced Topics in Topology:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; Math 752(P); cons instr.
Course Rules: Retakable w/chg in topic to 24 cr max.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 873 Advanced Topics in Probability:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: graduate standing and consent of instructor.
Course Rules: Retakable with change in topic to 24 cr max.
Last Taught: Spring 2020, Fall 2019, Spring 2019, Fall 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 881 Topics in Nonlinear Dynamics:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; Math 711(P); cons instr.
Course Rules: Retakable w/chg in topic to 9 cr max.
Last Taught: Spring 2001, Fall 1995, Fall 1994, Spring 1993.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 888 Candidate for Degree
0 cr. Graduate.
Available for graduate students who must meet minimum credit load requirement.
Prerequisites: graduate standing.
Course Rules: Fee for 1 cr assessed; unit does not count towards credit load for Fin Aid. Repeatable. Satisfactory/Unsatisfactory only.
Last Taught: Summer 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MATH 990 Reading and Research
16 cr. Graduate.
To be arranged with your instructor and department chair.
Prerequisites: grad st.
Course Rules: Retakable.
Last Taught: Summer 2020, Spring 2020, Fall 2019, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
Mathematical Statistics Courses
MTHSTAT 194 FirstYear Seminar:
3 cr. Undergraduate.
Specific topics are announced in the Schedule of Classes each time the class is offered.
Prerequisites: none.
Course Rules: Open only to freshman. Students may earn cr in just one L&S FirstYear Sem (course numbers 192, 193, 194).
General Education Requirements: NS
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 199 Independent Study
13 cr. Undergraduate.
For further information, consult dept chair.
Prerequisites: 2.0 GPA; consent of instructor, department chair, and Assistant Dean for Student Academic Services.
Course Rules: May be retaken to 6 cr max.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 215 Elementary Statistical Analysis
3 cr. Undergraduate.
Elementary probability theory; descriptive statistics; sampling distributions; basic problems of statistical inference including estimation; tests of statistical hypothesis in both one and two sample cases.
Prerequisites: satisfaction of Quantitative Literacy Part A GER.
General Education Requirements: NS, QLB
Last Taught: Summer 2020, Spring 2020, UWinteriM 2020, Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 216 Introduction to Statistical Computing and Data Science
3 cr. Undergraduate.
Introduction to handson data analysis, performed on large, complex and realistic data sets, using a scientific programming language like R.
Prerequisites: BUS ADM 210(P), ECON 210(P), MTHSTAT 215(P), PSYCH 210(P), SOCIOL 261(P), or consent of instructor.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 278 Discrete Probability and Statistics for Elementary Education Majors
3 cr. Undergraduate.
Random experiments; histograms; sample spaces; equally likely outcomes for random experiments; permutations; combinations; binomial, geometric, hypergeometric distributions; expectation; conditional probabilities; max likelihood estimation & inference.
Prerequisites: grade of C or better in Math 176(P) or cons instr.
Course Rules: Math 278 and MthStat 278 are jointly offered; they count as repeats of one another.
Last Taught: Fall 2016, Fall 2009, Fall 2008, Fall 2007.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 299 Ad Hoc:
16 cr. Undergraduate.
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Prerequisites: none; add'l prereqs may be assigned to specific topic.
Course Rules: May be retaken w/chg in topic.
Last Taught: Summer 2004.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 361 Introduction to Mathematical Statistics I
3 cr. Undergraduate/Graduate.
Probability spaces; discrete and continuous, univariate and multivariate distributions; moments; independence, random sampling, sampling distributions; normal and related distributions; point and interval estimation.
Prerequisites: jr st; Math 233(P).
Course Rules: Not recom for grad students in math, or students not planning to take MthStat 362.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 361G Introduction to Mathematical Statistics I
3 cr. Undergraduate/Graduate.
Probability spaces; discrete and continuous, univariate and multivariate distributions; moments; independence, random sampling, sampling distributions; normal and related distributions; point and interval estimation.
Prerequisites: jr st; Math 233(P).
Course Rules: Not recom for grad students in math, or students not planning to take MthStat 362.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 362 Introduction to Mathematical Statistics II
3 cr. Undergraduate/Graduate.
Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distributionfree methods; sequential methods.
Prerequisites: jr st; MthStat 361(P).
Course Rules: Not recom for grad students in math.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 362G Introduction to Mathematical Statistics II
3 cr. Undergraduate/Graduate.
Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distributionfree methods; sequential methods.
Prerequisites: jr st; MthStat 361(P).
Course Rules: Not recom for grad students in math.
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 461 Data Analysis and Graphing Using SASI
2 cr. Undergraduate.
Introduction to SAS language programming. Procedures for handling raw data, SAS data, and parametric and nonparametric univariate data analysis; procedures for graphical display. Offered first half of sem.
Prerequisites: MthStat 215(P), 362(P), 465(P), 467(P), Bus Adm 210(P), or Econ 210(P).
Course Rules: Does not count toward math sci major.
Last Taught: Spring 2011, Spring 2009, Fall 2008, Spring 2008.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 462 Data Analysis and Graphing Using SASII
2 cr. Undergraduate/Graduate.
Continuation of MthStat 461. Procedures GLM, LIFEREG, LIFETEST, LOGISTIC, PROBIT and advanced GRAPHING. Offered second half of sem.
Prerequisites: jr st; MthStat 461(P) or cons instr.
Course Rules: U cr does not count toward math sci major.
Last Taught: Fall 2008, Spring 2008.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 462G Data Analysis and Graphing Using SASII
2 cr. Undergraduate/Graduate.
Continuation of MthStat 461. Procedures GLM, LIFEREG, LIFETEST, LOGISTIC, PROBIT and advanced GRAPHING. Offered second half of sem.
Prerequisites: jr st; MthStat 461(P) or cons instr.
Course Rules: U cr does not count toward math sci major.
Last Taught: Fall 2008, Spring 2008.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 465 Introductory Mathematical Statistics for Social Sciences and Education
3 cr. Undergraduate/Graduate.
Probability distributions; parameter estimation and confidence intervals; hypothesis testing; applications.
Prerequisites: jr st; Math 211(P) or 232(P).
Course Rules: Not open for cr to students w/cr in MthStat 467, 362, or for grad cr in math. Not open for cr toward major in math except in School of Education.
Last Taught: Spring 2009, Spring 2007.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 465G Introductory Mathematical Statistics for Social Sciences and Education
3 cr. Undergraduate/Graduate.
Probability distributions; parameter estimation and confidence intervals; hypothesis testing; applications.
Prerequisites: jr st; Math 211(P) or 232(P).
Course Rules: Not open for cr to students w/cr in MthStat 467, 362, or for grad cr in math. Not open for cr toward major in math except in School of Education.
Last Taught: Spring 2009, Spring 2007.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 467 Introductory Statistics for Physical Sciences and Engineering Students
3 cr. Undergraduate/Graduate.
Concepts of probability and statistics; probability distributions of engineering applications; sampling distributions; hypothesis testing, parameter estimation; experimental design; regression analysis.
Prerequisites: jr st; Math 233(P).
Course Rules: Not open for cr for Math majors or students with cr in MthStat 362 or 465.
Last Taught: Spring 2001, Fall 1995.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 467G Introductory Statistics for Physical Sciences and Engineering Students
3 cr. Undergraduate/Graduate.
Concepts of probability and statistics; probability distributions of engineering applications; sampling distributions; hypothesis testing, parameter estimation; experimental design; regression analysis.
Prerequisites: jr st; Math 233(P).
Course Rules: Not open for cr for Math majors or students with cr in MthStat 362 or 465.
Last Taught: Spring 2001, Fall 1995.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 469 Biostatistics
3 cr. Undergraduate/Graduate.
Simple distributions, estimation and hypothesis testing, simple regression, analysis of variance, nonparametric methods in biology. Demography and vital statistics and bioassay and clinical trials.
Prerequisites: jr st; an elementary stats course.
Course Rules: Not allowed as part of core curric for Math majors. Not open for cr to students with cr in MthStat 569 & not open for grad cr in Math.
Last Taught: Fall 1987, Fall 1986.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 469G Biostatistics
3 cr. Undergraduate/Graduate.
Simple distributions, estimation and hypothesis testing, simple regression, analysis of variance, nonparametric methods in biology. Demography and vital statistics and bioassay and clinical trials.
Prerequisites: jr st; an elementary stats course.
Course Rules: Not allowed as part of core curric for Math majors. Not open for cr to students with cr in MthStat 569 & not open for grad cr in Math.
Last Taught: Fall 1987, Fall 1986.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 489 Internship in Mathematical Statistics, Upper Division
16 cr. Undergraduate.
Application of advanced principles of mathematical statistics in a business, organizational, educational, governmental, or other appropriate setting.
Prerequisites: jr st; 6 cr 300level or above in Math or MthStat; 2.5 gpa in the major; cons supervising faculty member.
Course Rules: One cr earned for academic work based on 40 hrs in internship. May be retaken to 6 cr max.
Last Taught: Fall 2018, Spring 2017, Spring 2014, Fall 2013.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 499 Ad Hoc:
16 cr. Undergraduate.
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Prerequisites: jr st; add'l prereqs may be assigned to specific topic.
Course Rules: May be retaken w/chg in topic.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 562 Design of Experiments
3 cr. Undergraduate/Graduate.
Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; splitplot experiments; fractional replication.
Prerequisites: jr st; MthStat 362(P); Math 234(P) or 240(P).
Last Taught: Fall 2008, Fall 2006.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 562G Design of Experiments
3 cr. Undergraduate/Graduate.
Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; splitplot experiments; fractional replication.
Prerequisites: jr st; MthStat 362(P); Math 234(P) or 240(P).
Last Taught: Fall 2008, Fall 2006.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 563 Regression Analysis
3 cr. Undergraduate/Graduate.
Straight line, polynomial and multiple regression; multiple and partial correlation; testing hypotheses in regression; residual analysis.
Prerequisites: jr st; MthStat 467(P) or 362(P).
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 563G Regression Analysis
3 cr. Undergraduate/Graduate.
Straight line, polynomial and multiple regression; multiple and partial correlation; testing hypotheses in regression; residual analysis.
Prerequisites: jr st; MthStat 467(P) or 362(P).
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 564 Time Series Analysis
3 cr. Undergraduate/Graduate.
Autocorrelation; spectral density; linear models; forecasting; model identification and estimation.
Prerequisites: jr st; MthStat 362(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 564G Time Series Analysis
3 cr. Undergraduate/Graduate.
Autocorrelation; spectral density; linear models; forecasting; model identification and estimation.
Prerequisites: jr st; MthStat 362(P).
Last Taught: Spring 2020.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 565 Nonparametric Statistics
3 cr. Undergraduate/Graduate.
Sign, rank and permutation tests; tests of randomness and independence; methods for discrete data and zeroes and ties; power and efficiency of nonparametric tests.
Prerequisites: jr st; MthStat 362(P).
Last Taught: Spring 2012, Spring 2010.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 565G Nonparametric Statistics
3 cr. Undergraduate/Graduate.
Sign, rank and permutation tests; tests of randomness and independence; methods for discrete data and zeroes and ties; power and efficiency of nonparametric tests.
Prerequisites: jr st; MthStat 362(P).
Last Taught: Spring 2012, Spring 2010.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 566 Computational Statistics
3 cr. Undergraduate/Graduate.
Basics of programming and optimization techniques; resampling, bootstrap, and Monte Carlo methods; design and analysis of simulation studies.
Prerequisites: jr st; MthStat 362(P) or cons instr.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 566G Computational Statistics
3 cr. Undergraduate/Graduate.
Basics of programming and optimization techniques; resampling, bootstrap, and Monte Carlo methods; design and analysis of simulation studies.
Prerequisites: jr st; MthStat 362(P) or cons instr.
Last Taught: Fall 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 568 Multivariate Statistical Analysis
3 cr. Undergraduate/Graduate.
Multivariate normal distribution; Wishart distribution; Hotelling's T2; multivariate normal distribution; multivariate analysis of variance; classification problems.
Prerequisites: jr st; MthStat 362(P); Math 234(P) or 240(P).
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 568G Multivariate Statistical Analysis
3 cr. Undergraduate/Graduate.
Multivariate normal distribution; Wishart distribution; Hotelling's T2; multivariate normal distribution; multivariate analysis of variance; classification problems.
Prerequisites: jr st; MthStat 362(P); Math 234(P) or 240(P).
Last Taught: Spring 2020, Spring 2019.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 597G Actuarial Statistics II
3 cr. Undergraduate.
Credibility theory, ratemaking, and reserving.
Prerequisites: jr st; MATH 234(P); MTHSTAT 362(P).
Course Rules: Counts as a repeat of MTHSTAT 597.
Last Taught: Spring 2020, Spring 2018.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 761 Mathematical Statistics I
3 cr. Graduate.
Probability and distribution theory; point and interval estimation; testing hypotheses; large sample inference; nonparametric inference; sequential analysis.
Prerequisites: grad st; Math 522(C) or 622(C).
Last Taught: Fall 2019, Fall 2018, Fall 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 762 Mathematical Statistics II
3 cr. Graduate.
Continuation of MthStat 761.
Prerequisites: grad st; MthStat 761(P).
Last Taught: Spring 2020, Spring 2019, Spring 2018, Spring 2017.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 763 Regression Analysis
3 cr. Graduate.
Introduction to linear statistical models and methods. Core topics include: simple and multiple linear regression, model checking, variable transformations, outlier diagnostics, variable selection, and generalized linear models such as logistic regression.
Prerequisites: graduate standing; MTHSTAT 362(P) or MTHSTAT 467(P); or consent of instructor.
Course Rules: No credit for students with credit in MTHSTAT 563.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 764 Time Series Analysis
3 cr. Graduate.
Introduction to statistical models and methods for time series data analysis. Core topics include: exponential smoothing, ARIMA models, transfer functions and intervention models, statespace models, GARCH models.
Prerequisites: graduate standing; MTSTAT 362(P) or MTHSTAT 467(P); or consent of instructor.
Course Rules: No credit for students with credit in MTHSTAT 564.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 766 Computational Statistics
3 cr. Graduate.
Introduction to statistical computer programming. Main topics include: basics of programming in R or similar language; optimization and rootfinding algorithms; Monte Carlo numerical integration; random sample generation; bootstrap and permutation tests; comparative simulation studies.
Prerequisites: graduate standing; MTHSTAT 362(P) or MTHSTAT 467(P), or consent of instructor.
Course Rules: No credit for students with credit in MTHSTAT 566.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 768 Multivariate Statistical Analysis
3 cr. Graduate.
Introduction to statistical models and methods for multivariate data analysis. Core topics include: multivariate random vectors and distributions, principal component analysis, canonical correlation analysis, factor analysis, classification and discrimination, clustering techniques, and multidimensional scaling.
Prerequisites: graduate standing; MTHSTAT 362(P) or MTHSTAT 467(P), or consent of instructor.
Course Rules: No credit for students with credit in MTHSTAT 568.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 863 Hypothesis Testing
3 cr. Graduate.
Exponential families; uniformly mostpowerful tests; least favorable priors; unbiased tests; invariant tests; applications to exponential families and the general linear hypothesis.
Prerequisites: grad st; MthStat 762(P).
Last Taught: Fall 2009, Spring 2005, Spring 1987.
Current Offerings: https://catalog.uwm.edu/coursesearch/
MTHSTAT 869 Advanced Topics in Mathematical Statistics:
3 cr. Graduate.
Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.
Prerequisites: grad st; MthStat 762(P).
Course Rules: Retakable w/chg in topic to 9 cr max.
Last Taught: Spring 2019, Fall 2018, Spring 2017, Fall 2016.
Current Offerings: https://catalog.uwm.edu/coursesearch/
Name  Rank  Degree  School  Graduate Faculty  Emeritus Faculty 

Fredric D. Ancel  Professor  PhD  No  Yes  
James E. Arnold Jr.  Associate Professor  PhD  No  Yes  
Jay H. Beder  Professor  PhD  George Washington University  Yes  No 
Allen D. Bell  Associate Professor  PhD  No  Yes  
Rebecca Bourn  Associate Faculty Associate  PhD  University of Virginia  No  No 
Suzanne L. Boyd  Associate Professor  PhD  Cornell University  Yes  No 
Vytaras Brazauskas  Professor  PhD  University of Texas at Dallas  Yes  No 
A. Clark Evans  Associate Professor  PhD  Florida State University  Yes  No 
Dashan Fan  Professor  PhD  No  Yes  
Jonah Gaster  Assistant Professor  PhD  University of Illinois at Chicago  Yes  No 
Daniel Gervini  Professor  PhD  Universidad de Buenos Aires  Yes  No 
Jugal K. Ghorai  Professor  PhD  No  Yes  
Craig R. Guilbault  Professor  PhD  University of Tennessee  Yes  No 
Robert L. Hall  Associate Professor  PhD  No  Yes  
Brendan Burns Healy  Visiting Assistant Professor  PhD  Tufts University  No  No 
Peter Hinow  Professor  PhD  Vanderbilt University  Yes  No 
Yang Ho  Clinical Professor  PhD  No  Yes  
Ingrid Holzner  Senior Lecturer  MS  No  Yes  
G. Christopher Hruska  Professor  PhD  Cornell University  Yes  No 
Jonathan Kahl  Professor  PhD  University of Michigan  Yes  No 
Eric S. Key  Professor  PhD  No  Yes  
Kelly Kohlmetz  Senior Lecturer  PhD  University of WisconsinMilwaukee  No  No 
Sergey Kravtsov  Professor  PhD  Florida State University  Yes  No 
Vincent Larson  Professor  PhD  Massachusetts Institute of Technology  Yes  No 
Istvan G. Lauko  Associate Professor  PhD  Texas Tech University  Yes  No 
ChengMing Lee  Professor  PhD  No  Yes  
TzuChu Lin  Professor  PhD  No  Yes  
Gary Luck  Senior Lecturer  MS  No  Yes  
Kevin B. McLeod  Associate Professor  PhD  University of Minnesota  Yes  No 
Richard J. Mihalek  Associate Professor  PhD  No  Yes  
Albert J. Milani  Professor  PhD  No  Yes  
Robert H. Moore  Associate Professor  PhD  No  Yes  
Ian M. Musson  Professor  PhD  No  Yes  
Thomas O'Bryan  Associate Professor  PhD  No  Yes  
Richard J. O'Malley  Professor  PhD  No  Yes  
Boris L. Okun  Professor  PhD  State University of New York at Binghamton  Yes  No 
Gabriella Pinter  Professor  PhD  Texas Tech University  Yes  No 
Paul Roebber  Distinguished Professor  PhD  McGill University  Yes  No 
Ahmed H. Sameh  Adjunct Professor  PhD  No  Yes  
David H. Schultz  Professor  PhD  No  Yes  
Steven Schwengels  Senior Lecturer  MS  No  Yes  
Lindsay A. Skinner  Professor  PhD  No  Yes  
Panayiotis Skordi  Clinical Professor  PhD  Curtin University  No  No 
Donald W. Solomon  Associate Professor  PhD  No  Yes  
David Spade  Assistant Professor  PhD  The Ohio State University  Yes  No 
Richard Stockbridge  Distinguished Professor  PhD  University of WisconsinMadison  Yes  No 
Lijing Sun  Associate Professor  PhD  Wayne State University  Yes  No 
Anastasios Tsonis  Distinguished Professor  PhD  No  Yes  
Xianwei Van Harpen  Senior Lecturer  PhD  Illinois State University  No  No 
Hans W. Volkmer  Professor  PhD  University of Konstanz  Yes  No 
Bruce Wade  Professor  PhD  No  Yes  
Gilbert G. Walter  Professor  PhD  No  Yes  
Lei Wang  Associate Professor  PhD  University of Michigan  Yes  No 
Wei Wei  Associate Professor  PhD  University of Waterloo  Yes  No 
Jeb Willenbring  Professor  PhD  University of California, San Diego  Yes  No 
Dexuan Xie  Professor  PhD  University of Houston  Yes  No 
Chao Zhu  Professor  PhD  Wayne State University  Yes  No 
Yi Ming Zou  Professor  PhD  Indiana University  Yes  No 