Mathematics Major Requirements

New Requirements! Effective Fall 2016 the Mathematics Major has been revised. This website details the new requirements. Currently declared majors may switch to these new requirements by emailing their academic advisor or one of our Mathematics Undergraduate Advisors, or they may stick with the major requirements in place at the time of their major declaration. To review the major requirements from recent years, see the Fact Sheet for Mathematics Major Pre-Fall 2016.

The Department of Mathematical Sciences offers both the Bachelor of Science and the Bachelor of Arts degree in Mathematics. In addition to the requirements for the major, students must also satisfy all of the university general education requirements and the College of Letters & Science breadth and other degree requirements. Degree requirements will vary depending on when you took your first college class, and upon whether you are pursuing the BA or the BS. You are strongly advised to consult your advisor every semester to ensure you stay on track towards a degree. Read more about College of Letters and Science Degree Requirements.

To clarify any requirements, contact one of our  Mathematics Undergraduate Advisors.

Recommendations

The mathematics major has been designed to be flexible so that students could complete their major requirements via courses that match their interests and goals. Many students should find it relatively easy to complete double majors in mathematics and another subject. Most mathematics courses belong in one of the following four groups: applied mathematics, computational mathematics, pure mathematics, and statistics.

A major in mathematical sciences allows students to design, in conjunction with an advisor, a personalized program to fit individual interests and talents.

Requirements

Preparatory Curriculum

All of the Following (or equivalent)

  • Math 231 - Calculus and Analytic Geometry I, 4 credits
  • Math 232 - Calculus and Analytic Geometry II, 4 credits
  • Math 233 - Calculus and Analytic Geometry III, 4 credits
  • Math 234 - Linear Algebra and Differential Equations, 4 credits
    or
    Math 240 - Matrices and Applications, 3 credits

(Math 221 - Honors Calculus I, 5 credits, and Math 222 - Honors Calculus II, 5 credits, are equivalent to Math 231, 232, and 233.)

Students majoring in mathematics must have a GPA of at least 2.500 in these courses.

One of the following

  • CompSci 151 - Introduction to Scientific Programming in Fortran, 3 credits
  • CompSci 153 - Introduction to Scientific Programming in C++, 3 credits
  • CompSci 250 - Introductory Computer Programming, 3 credits
  • CompSci 251 - Intermediate Computer Programming, 3 credits

The department also recommends strongly one year of calculus-based physics.



Required Course Options (27 credits)

Students electing the mathematics major must complete Math 341 and 24 additional credits in upper-division math courses (those numbered 300 and above, and in curricular areas Math or MthStat). Required among these 24 upper-division math credits are at least six credits in math courses numbered 500 and above, excluding Math or MthStat 591,599, 699.



Capstone Experience

Students in all majors and major options in the Department of Mathematical Sciences must complete a "Capstone Experience." The aim of the department's capstone experience is to encourage independent learning. Students complete a research paper in the context of this course, which satisfies the L&S research requirement. Mathematics majors may choose either Math 599 or Math 575. Students must obtain consent of a professor to enroll in Math 599.

Honors

Students in Mathematics who meet all of the following criteria can be awarded honors in the major upon graduation:

  1. A 3.000 cumulative GPA in all UWM graded credits;
  2. A 3.500 GPA over all UWM courses counting toward the Mathematics major;
  3. A 3.500 GPA over all upper division UWM courses counting toward the Mathematics major; and
  4. At least one of the following:
    • Successful completion of at least two semesters of research and/or internship experiences. These may include one or more of the Capstone Experience (Math 599), a directed independent study for credit (Math 699), an internship for credit (Math 489), and undergraduate research for compensation.
    • Successful completion of at least 6 credits in Mathematical Sciences (curricular areas Math or MthStat) courses numbered 600 or above.
    • A score of at least the 50th percentile on the Math Subject GRE.

Students who believe they may qualify for honors in Mathematics should apply to the Mathematical Sciences Department during their last semester of study.



Additional Requirements

Note that Math 381 and MthStat 465 and 467 are not open for credit in the Mathematics major. Students must complete at least 15 upper-division (numbered 300 and above) credits in the major in residence at UWM.

Additional Information

Many courses fall naturally into groups:

Applied Mathematics Group

  • Math 305 - Introduction to Mathematical and Computational Modeling, 3 credits
  • Math 320 - Introduction to Differential Equations, 3 credits
  • Math 321 - Vector Analysis, 3 credits
  • Math 322 - Introduction to Partial Differential Equations, 3 credits
  • Math 371 - Introduction to Stochastic Models in Finance, 3 credits
  • Math 405 - Mathematical Models and Applications, 3 credits
  • Math 431 - Modern Algebra with Applications, 3 credits
  • Math 581 - Introduction to the Theory of Chaotic Dynamical Systems, 3 credits
  • Math 601 - Advanced Engineering Mathematics I, 3 credits
  • Math 602 - Advanced Engineering Mathematics II, 3 credits

Computational Mathematics Group

  • Math 313 - Linear Programming and Optimization, 3 credits
  • Math 315 (314) - Mathematical Programming and Optimization, 3 credits
  • Math 413 - Introduction to Numerical Analysis, 3 credits
  • Math 415 - Introduction to Scientific Computing, 3 credits
  • Math 417 (416) - Computational Linear Algebra, 3 credits
  • Math 615 - Numerical Solution of Partial Differential Equations, 3 credits
  • Math 617 - Optimization, 3 credits

Probability and Statistics Group

  • Math 571 - Introduction to Probability Models, 3 credits
  • MthStat 361 - Introduction to Mathematical Statistics I, 3 credits
  • MthStat 362 - Introduction to Mathematical Statistics II, 3 credits
  • MthStat 562 - Design of Experiments, 3 credits
  • MthStat 563 - Regression Analysis, 3 credits
  • MthStat 564 - Time Series Analysis, 3 credits
  • MthStat 565 - Nonparametric Statistics, 3 credits
  • MthStat 566 - Computational Statistics, 3 credits
  • MthStat 568 - Multivariate Statistical Analysis, 3 credits

Pure Mathematics Group

  • Group 1
    • Math 521 - Advanced Calculus I, 3 credits
    • Math 522 - Advanced Calculus II, 3 credits
    • Math 531 - Modern Algebra, 3 credits
    • Math 535 - Linear Algebra, 3 credits
    • Math 551 - Elementary Topology, 3 credits
    • Math 621 - Introduction to Analysis I, 3 credits
    • Math 622 - Introduction to Analysis II, 3 credits
    • Math 631 - Modern Algebra I, 3 credits
    • Math 632 - Modern Algebra II, 3 credits
  • Group 2
    • Math 423 (623) - Complex Analysis, 3 credits
    • Math 451 - Axiomatic Geometry, 3 credits
    • Math 453 - Transformations in Geometry, 3 credits
    • Math 511 - Symbolic Logic, 3 credits
    • Math 537 - Number Theory, 3 credits
    • Math 553 - Differential Geometry, 3 credits

For students planning to pursue graduate studies in mathematics, we recommend students take at least 36 cr upper division mathematics courses, with as many courses as possible from Pure Mathematics, Group 1. Many PhD programs require reading knowledge of French, German, or Russian.

For students planning to pursue graduate studies in statistics or economics, we recommend Math 521, 522, and as many as possible of MthStat 361, 362, and 562-568.

For students seeking employment in statistics after the bachelor's degree, we recommend MthStat 361, 362, and as many as possible of MthStat 562-568, as well as courses in computer programming (Comp Sci 250, 251, etc.).

For students seeking general non-academic employment after the bachelor’s degree, we recommend courses from the Probability and Statistics group (including MthStat 362), the Applied Mathematics group (including both modeling and differential equations), the Computational Mathematics group, Linear Algebra (Math 535), and courses in computer programming (Comp Sci 240, 250, 251, etc.).

For students intending to become high school mathematics teachers, we recommend courses in algebra (Math 431, 531), geometry (451, 453), linear algebra (535), numerical methods (413), advanced calculus (521, 522), the math education capstone (575), and probability and statistics (MthStat 361&362).

For students pursuing a major in mathematics as a liberal art, for general logical and critical thinking skills, we recommend the Pure Mathematics courses.



GPA Requirements

The College requires that students attain at least a 2.500 GPA on all credits in the major attempted at UWM. In addition, students must attain a 2.500 GPA on all major credits attempted, including transfer work.