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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-6 cr. Undergraduate.

Apply principles and techniques of actuarial science in business, governmental and other appropriate settings.

Prerequisites: soph st; 6 cr 300-level 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-6 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/course-search/

3 cr. Graduate.

Mathematical models in finance and economics, corporate finance.

Prerequisites: graduate standing.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Loss models for short term insurance and their statistical fitting.

Prerequisites: graduate standing.

Current Offerings: https://catalog.uwm.edu/course-search/

3 cr. Graduate.

Credibility theory, ratemaking and reserving.

Prerequisites: graduate standing.

Last Taught: Spring 2020.

Current Offerings: https://catalog.uwm.edu/course-search/

3 cr. Graduate.

Risk models; premium principles; reinsurance contracts; ruin theory; ordering of risks; bonus-malus 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/course-search/

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/course-search/

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 lab-dis.

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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 First-Year 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/course-search/

1-3 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/course-search/

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/course-search/

1-6 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/course-search/

1-12 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/course-search/

1-6 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/course-search/

3 cr. Undergraduate/Graduate.

Pollutant sources and sinks, fundamental pollutant chemistry, monitoring techniques, averaging boundary layers and turbulence, diffusion theories, diffusion models, regional and global-scale 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/course-search/

3 cr. Undergraduate/Graduate.

Pollutant sources and sinks, fundamental pollutant chemistry, monitoring techniques, averaging boundary layers and turbulence, diffusion theories, diffusion models, regional and global-scale 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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate/Graduate.

The role of dynamics in atmospheric physics; equations of motion; symmetric circulation models; gravity waves; Rossby waves, quasi-geostrophy; 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/course-search/

3 cr. Undergraduate/Graduate.

The role of dynamics in atmospheric physics; equations of motion; symmetric circulation models; gravity waves; Rossby waves, quasi-geostrophy; 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/course-search/

3 cr. Undergraduate/Graduate.

Circulation, vorticity, potential vorticity; shallow water equations: Poincare, Kelvin, and Rossby waves, energy and enstrophy; quasi-geostrophy 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/course-search/

3 cr. Undergraduate/Graduate.

Circulation, vorticity, potential vorticity; shallow water equations: Poincare, Kelvin, and Rossby waves, energy and enstrophy; quasi-geostrophy 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/course-search/

4 cr. Undergraduate/Graduate.

Fundamental principles; synoptic-scale structure and dynamics; equivalent barotropic model; vertical motions; introduction to and application of quasi-geostrophic 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/course-search/

4 cr. Undergraduate/Graduate.

Fundamental principles; synoptic-scale structure and dynamics; equivalent barotropic model; vertical motions; introduction to and application of quasi-geostrophic 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/course-search/

4 cr. Undergraduate/Graduate.

Extension of quasi-geostrophic theory to Q-vectors; isentropic potential vorticity applied to mid-latitude weather systems; fronts and jets.

Prerequisites: jr st; Atm Sci 360(P).

Last Taught: Spring 2019, Spring 2017.

Current Offerings: https://catalog.uwm.edu/course-search/

4 cr. Undergraduate/Graduate.

Extension of quasi-geostrophic theory to Q-vectors; isentropic potential vorticity applied to mid-latitude weather systems; fronts and jets.

Prerequisites: jr st; Atm Sci 360(P).

Last Taught: Spring 2019, Spring 2017.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

1-3 cr. Undergraduate/Graduate.

Basic, advanced or new topics in atmospheric sciences for in-service teachers.

Prerequisites: in-service 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/course-search/

1-3 cr. Undergraduate/Graduate.

Basic, advanced or new topics in atmospheric sciences for in-service teachers.

Prerequisites: in-service 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/course-search/

3 cr. Undergraduate/Graduate.

Theory, analysis and forecasting of mesoscale flows, including convective systems, polar lows, terrain and surface-forced 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/course-search/

3 cr. Undergraduate/Graduate.

Theory, analysis and forecasting of mesoscale flows, including convective systems, polar lows, terrain and surface-forced 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-12 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/course-search/

1-12 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/course-search/

1-6 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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate/Graduate.

Surface energy budget; radiation balance and heat transfer; boundary-layer profiles of wind, temperature and moisture; turbulence and boundary-layer 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/course-search/

3 cr. Undergraduate/Graduate.

Surface energy budget; radiation balance and heat transfer; boundary-layer profiles of wind, temperature and moisture; turbulence and boundary-layer 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-3 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/course-search/

1-3 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/course-search/

1-6 cr. Undergraduate.

Application of advanced principles of atmospheric sciences in a business, organizational, educational, political or other appropriate setting.

Prerequisites: jr st; 300-level 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/course-search/

1-3 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/course-search/

3 cr. Graduate.

Fundamentals of signal detection in noisy multivariate space-time 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Prerequisites: grad st.

Course Rules: Retakable w/chg in topic to 9 cr max.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

1-8 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/course-search/

1-12 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/course-search/

1-12 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/course-search/

1-12 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/course-search/

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 (1-6) 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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 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: 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/course-search/

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 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.

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/course-search/

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/course-search/

3 cr. Undergraduate.

Students learn a broad variety of fundamental logical methods - techniques used to identify, analyze, model, evaluate, and criticize different types of real-world 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; or (c) grade of D in MATH 94.

Course Rules: PHILOS 111 and MATH 111 are jointly offered; they count as repeats of one another.

General Education Requirements: HU

Last Taught: Summer 2020, Spring 2020, Fall 2019, Summer 2019.

Current Offerings: https://catalog.uwm.edu/course-search/

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 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.

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/course-search/

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 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.

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/course-search/

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 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.

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/course-search/

3 cr. Undergraduate.

Theory of arithmetic of whole numbers, fractions, and decimals. Introduction to algebra, estimation and problem-solving 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

Last Taught: Spring 2020, Fall 2019, Spring 2019.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

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 First-Year 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/course-search/

1-3 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/course-search/

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/course-search/

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/course-search/

4 cr. Undergraduate.

A one-semester survey with applications to business administration, economics, and non-physical 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 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.

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

4 cr. Undergraduate.

Continuation of MATH 232. Three-dimensional 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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate.

Course provides a strong foundation in the exploration, teaching and communication (oral and written) of mathematical concepts via problem-solving 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/course-search/

3 cr. Undergraduate.

Topics for K-8 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/course-search/

3 cr. Undergraduate.

Topics for K-8 teachers. Geometry as measuring tool-congruence, similarity, area, volume, and coordinates; geometry as axiomatic system-definitions, 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/course-search/

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/course-search/

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/course-search/

1-12 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/course-search/

1-6 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/course-search/

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 200-level 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/course-search/

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 200-level 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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 OWC-A.

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/course-search/

3 cr. Undergraduate/Graduate.

Elementary modeling of financial instruments for students in mathematics, economics, business, etc. Statistical and stochastic tools leading to the Black-Scholes 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/course-search/

3 cr. Undergraduate/Graduate.

Elementary modeling of financial instruments for students in mathematics, economics, business, etc. Statistical and stochastic tools leading to the Black-Scholes 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/course-search/

3 cr. Undergraduate.

Significant topics to illustrate to non-mathematicians 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/course-search/

3 cr. Undergraduate/Graduate.

Modeling techniques for analysis and decision-making 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/course-search/

3 cr. Undergraduate/Graduate.

Modeling techniques for analysis and decision-making 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate/Graduate.

An axiomatic approach to Euclidean and non-Euclidean 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/course-search/

3 cr. Undergraduate/Graduate.

An axiomatic approach to Euclidean and non-Euclidean 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/course-search/

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/course-search/

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/course-search/

1-6 cr. Undergraduate.

Application of advanced principles of mathematics in a business, organizational, educational, governmental, or other appropriate setting.

Prerequisites: jr st; 6 cr 300-level 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/course-search/

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/course-search/

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/course-search/

1-12 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/course-search/

1-12 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/course-search/

1-6 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/course-search/

3 cr. Undergraduate/Graduate.

First-order 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 300-level 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/course-search/

3 cr. Undergraduate/Graduate.

First-order 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 300-level 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate/Graduate.

General theory of point sets in Euclidean spaces, with emphasis on topology of two-dimensional and three-dimensional 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/course-search/

3 cr. Undergraduate/Graduate.

General theory of point sets in Euclidean spaces, with emphasis on topology of two-dimensional and three-dimensional 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/course-search/

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/course-search/

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/course-search/

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 calculus-based course in statistics or probability at the 300 level or above; or grad st.

Last Taught: Spring 2020.

Current Offerings: https://catalog.uwm.edu/course-search/

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 calculus-based course in statistics or probability at the 300 level or above; or grad st.

Last Taught: Spring 2020.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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 300-level or above; or cons instr; or grad st.

Last Taught: Fall 2018, Fall 2016.

Current Offerings: https://catalog.uwm.edu/course-search/

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 300-level or above; or cons instr; or grad st.

Last Taught: Fall 2018, Fall 2016.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate/Graduate.

Unconstrained and constrained optimization: linear, nonlinear, and dynamic programming; barrier, penalty, and Lagrangian methods; Karush-Kuhn-Tucker 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/course-search/

3 cr. Undergraduate/Graduate.

Unconstrained and constrained optimization: linear, nonlinear, and dynamic programming; barrier, penalty, and Lagrangian methods; Karush-Kuhn-Tucker 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/course-search/

3 cr. Undergraduate/Graduate.

Topology of Euclidean space; continuity; differentiation of real and vector-valued functions; Riemann-Stieltjes 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/course-search/

3 cr. Undergraduate/Graduate.

Topology of Euclidean space; continuity; differentiation of real and vector-valued functions; Riemann-Stieltjes 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-3 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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; sturm-liouville 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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Basic course which is prerequisite for all other 700-799 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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Continuation of Math 736.

Prerequisites: grad st; Math 736(P) or cons instr.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Elementary baysian decision theory; prior posterior and predictive distributions; posterior and pre-posterior 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/course-search/

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/course-search/

3 cr. Graduate.

Measure-theoretic foundations; limit-law 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/course-search/

3 cr. Graduate.

Periodic, recurrent and non-wandering 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/course-search/

1-3 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/course-search/

1-3 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/course-search/

1-3 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/course-search/

1-2 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/course-search/

1-3 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/course-search/

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/course-search/

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/course-search/

1-3 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/course-search/

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/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Existence and uniqueness theorems; singularity of solutions; oscillation and comparison theorems; poincare-bendixon theory.

Prerequisites: grad st; Math 716(P).

Last Taught: Spring 2010, Spring 2006, Spring 2004, Fall 1992.

Current Offerings: https://catalog.uwm.edu/course-search/

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/course-search/

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/course-search/

3 cr. Graduate.

Basic theorems of b-spaces and f-spaces including the closed graph; Hahn-Banach and Banach-Steinhaus 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-6 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/course-search/

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 First-Year Sem (course numbers 192, 193, 194).

General Education Requirements: NS

Current Offerings: https://catalog.uwm.edu/course-search/

1-3 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/course-search/

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/course-search/

3 cr. Undergraduate.

Introduction to hands-on 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/course-search/

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/course-search/

1-6 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/course-search/

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/course-search/

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/course-search/

3 cr. Undergraduate/Graduate.

Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free 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/course-search/

3 cr. Undergraduate/Graduate.

Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

1-6 cr. Undergraduate.

Application of advanced principles of mathematical statistics in a business, organizational, educational, governmental, or other appropriate setting.

Prerequisites: jr st; 6 cr 300-level 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/course-search/

1-6 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/course-search/

3 cr. Undergraduate/Graduate.

Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; split-plot 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/course-search/

3 cr. Undergraduate/Graduate.

Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; split-plot 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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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/course-search/

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, state-space 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/course-search/

3 cr. Graduate.

Introduction to statistical computer programming. Main topics include: basics of programming in R or similar language; optimization and root-finding 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/course-search/

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/course-search/

3 cr. Graduate.

Exponential families; uniformly most--powerful 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/course-search/

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/course-search/