Objective of Mathematics MS: Industrial Mathematics (Option B)

The objective of the master’s program in industrial mathematics is to enable students to acquire the fundamentals of applied mathematics in areas of classical and numerical analysis, differential equations and dynamical systems, and probability and statistics. At the same time, the connection of these fields to modeling of physical, biological, and engineering phenomena will be stressed by requiring credits outside of the Department of Mathematical Sciences. Students are to obtain practical experience in mathematical modeling and analysis during an internship or industrial project that will culminate in a thesis.

Overview of Mathematical Sciences Department MS programs

The Department of Mathematical Sciences offers graduate programs of study in mathematics with specializations in the fields of algebra, analysis, topology, applied mathematics, probability and statistics, and actuarial science.

The programs of study at the master’s level are designed to suit both the student intending to continue toward a PhD as well as the student who wishes to begin a professional career upon completion of the master’s program.

The student may prepare for a career in teaching at the secondary or college level and for a career in research in the academic, industrial, government, or business communities.

Three options for the master’s degree are offered: the standard mathematics option (A), the statistics option (B), and the actuarial science option (C). Students who plan to continue for a PhD degree with a focus on mathematics/statistics should elect an option from options A, B, C, or the dual master’s degree option. 

Dual Master’s Degree Option

In addition to multiple options available for MS in mathematics, the Department of Mathematical Sciences at UWM and the Department of Technomathematics of Fachhochschule Aachen (FHA), Germany have recently created a Dual Master’s Degree Program in Mathematics. The students enrolled in this program will be able to earn Master’s degrees from both institutions upon completion of the common course requirements.

The program is designed in such a way that students typically will be able to complete all the course requirements within a two-year time period (one year at each institution). Within this program students can choose courses that will allow them to concentrate in the areas of Statistics, Numerical Analysis or General Mathematics. Complete information on the admission policy and graduation requirements, including sample schedules, is available at the Department of Mathematical Sciences web page http://uwm.edu/math/graduate/.

Admission Requirements

Application Deadlines

Application deadlines vary by program, please review the application deadline chart for specific programs. Other important dates and deadlines can be found by using the One Stop calendars.

Admission

An applicant must meet the Graduate School requirements as well as the following departmental requirements to be considered for admission to the program:

  1. A bachelor’s degree in an area of mathematical science (applied or pure mathematics, actuarial science, statistics, etc.), computer science, economics or finance, physics, engineering, or a related field.
  2. Completion of at least three semesters of undergraduate calculus plus at least 6 credits of acceptable mathematics courses requiring calculus.
  3. Knowledge of a high-level programming language.

Students satisfying only the minimum mathematics requirements will be expected to take courses that do not count toward the degree.

General Requirements

A student must have completed, either prior to entering the program or by the time of graduation, courses in advanced calculus, numerical analysis, and ordinary differential equations. In addition, students must complete courses involving Fourier series, linear algebra, linear programming, mathematical modeling, partial differential equations, probability, and calculus-based statistics.

Credits and Courses

At least 36 graduate credits in G or U/G courses at UWM are required.

Industial Mathematics Courses24
Industrial Mathematics I
Numerical Analysis
6 additional credits at or above the 600 level
Coherent set of approved courses (300-level or above) in application area outside the department *6
Max 6 credits in any combination of independent study or seminar or thesis (MATH 790, MATH 791, MATH 792, MATH 799, or MATH 990)6
Total Credits36

Courses are subject to the following regulations:

  • Maximum 12 credits below the 500 level from within the Department of Mathematical Sciences;
  • Advisor’s prior written approval for every course.

Student also must have demonstrated knowledge of an advanced scientific programming language approved by the Industrial Mathematics Committee.

Special Recommendation

It is recommended that, by the time of graduation, students master the material presented in the following courses, either prior to enrolling or through coursework:

MATH 313Linear Programming and Optimization3
MATH 315Mathematical Programming and Optimization3
MTHSTAT 564Time Series Analysis3
MATH 571Introduction to Probability Models3
MATH 601Advanced Engineering Mathematics I3
MATH 602Advanced Engineering Mathematics II3
MATH 701Industrial Mathematics I3
MATH 702Industrial Mathematics II3
MATH 715Numerical Analysis3

Students must work closely with their advisors to ensure satisfaction of the General, Coursework, and Thesis requirements for timely graduation.

Approved Industrial Mathematics Courses

Applied Mathematics
MATH 320Introduction to Differential Equations3
MATH 321Vector Analysis3
MATH 322Introduction to Partial Differential Equations3
MATH 371Introduction to Stochastic Models in Finance3
MATH 405Mathematical Models and Applications3
MATH 423Complex Analysis3
MATH 521
MATH 522
Advanced Calculus I
and Advanced Calculus II
6
MATH 535Linear Algebra3
MATH 581Introduction to the Theory of Chaotic Dynamical Systems3
MATH 601
MATH 602
Advanced Engineering Mathematics I
and Advanced Engineering Mathematics II
6
MATH 621
MATH 622
Introduction to Analysis I
and Introduction to Analysis II
6
MATH 701
MATH 702
Industrial Mathematics I
and Industrial Mathematics II
6
MATH 703Advanced Engineering Mathematics I3
MATH 709Differential Geometry3
MATH 716Ordinary Differential Equations3
MATH 719Partial Differential Equations3
MATH 726Introduction to Functional Analysis3
MATH 801Topics in Applied Mathematics: (Subtitle)3
MATH 816
MATH 817
Ordinary Differential Equations
and Advanced Ordinary Differential Equations II
6
Numerical Analysis
MATH 313Linear Programming and Optimization3
MATH 315Mathematical Programming and Optimization3
MATH 413Introduction to Numerical Analysis3
MATH 415Introduction to Scientific Computing3
MATH 417Computational Linear Algebra3
MATH 715Numerical Analysis3
MATH 793Scientific Computational Laboratory: (Subtitle)1-2
MATH 813Numerical Solution of Ordinary Differential Equations3
MATH 814Numerical Solution of Partial Differential Equations3
MATH 815Topics in Numerical Analysis: (Subtitle)3

Probability and Statistics

MTHSTAT 361
MTHSTAT 362
Introduction to Mathematical Statistics I
and Introduction to Mathematical Statistics II
6
MTHSTAT 461
MTHSTAT 462
Data Analysis and Graphing Using SAS-I
and Data Analysis and Graphing Using SAS-II
4
MTHSTAT 562Design of Experiments3
MTHSTAT 563Regression Analysis3
MTHSTAT 564Time Series Analysis3
MTHSTAT 565Nonparametric Statistics3
MTHSTAT 568Multivariate Statistical Analysis3
MATH 571Introduction to Probability Models3
MTHSTAT 761
MTHSTAT 762
Mathematical Statistics I
and Mathematical Statistics II
6
MATH 768Applied Stochastic Processes3
MTHSTAT 863Hypothesis Testing3
MTHSTAT 869Advanced Topics in Mathematical Statistics:3
Classes in Biostatistics at the Medical College of Wisconsin

Additional Requirements

Major Professor as Advisor

The student must have a major professor to advise and supervise the student’s studies. The entering graduate student is assigned an advisor by the chair of the Industrial Mathematics Committee. Depending on the thesis topic, the student may later change advisors.

Thesis

A thesis in which the student solves a mathematical problem with an industrial source is required. The student must work with the advisor/major professor from the start of the thesis through its completion, receiving his/her approval. The student must pass an oral defense before three faculty members.

Time Limit

Full-time students, without deficiencies, could be expected to complete the program in two years. All degree requirements must be completed within seven years of initial enrollment.