# Mathematics Major Summary (including all optional emphases)

**Required Units: **40 credits minimum

**Core Mathematics Courses:** (21 credits)

- Math 171 Calculus I (4 cr.)
- Math 172 Calculus II (4 cr.)
- Math 222 Intro to Abstract Mathematics (3 cr.)
- Math 256 Intro to Linear Mathematics (3 cr.)
- Math 273 Calculus III (4 cr.)
- Math 301 Introduction to Probability and Statistics (3 cr.)

**Analysis Requirement:**** ****(3 credits)**

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- Choose from: Math 467 Intro to Real Analysis, or Math 480 Intro to Topology

**Algebra Requirement: **(3 credits)

- Choose from: Math 346 Linear Algebra, Math 347 Group Theory, Math 348 Ring Theory, or Math 349 Number Theory

**Capstone: **(2 credits minimum)

- Choose from: Math 365 Math Modeling, Math 403 Issues in Statistical Practice, Math 430 International Comparative Mathematics Education Seminar, Math 446 Independent Study, Math 474 Honors Thesis, Math 495 Secondary Mathematics from an Advanced Perspective II.

The capstone experience should depend on the interests and needs of the student. Those preparing for graduate school in mathematics should do original research in mathematics, as part of an independent study or honors thesis. Students seeking the Secondary Education emphasis must complete Math 495 Secondary Math from an Advanced Perspective II, or Math 430 International Mathematics Education Seminar. Students seeking the Statistics Emphasis must do a statistics project, either as part of Math 403 Issues in Statistical Practice, Math 446 Independent Study or Math 474 Honors Thesis.

**Other Required Courses**

**Other required courses depend on whether or not the student is seeking an emphasis.**

**Statistics Emphasis**

- Math 385 Applied Regression Analysis (3 cr.)
- Math 401 Mathematical Statistics (3 cr.)
- Choose either Math 302 Intermediate Statistical Methods (3 cr.) or Math 386 Linear Statistical Models (3 cr.)

**Secondary Education Emphasis **

- Math 295 Secondary Math From Advanced Perspective I (3 cr.)
- Math 331 Fundamentals of Geometry (2 cr.)
- Math 334 Hyperbolic Geometry (2 cr.)

**No Emphasis**

**Applied Requirement**(3 credits): Students not seeking either the Statistics Emphasis or the Secondary Education Emphasis must select at least one course from the Applied category in the Upper Level Course List: Math 352 Computing Math w/ Apps, Math 355 Intro to Numerical Analysis, Math 356 Linear Numerical Analysis, Math 371 Differential Equations, or Math 376 Partial Diff. Eq. & BVPs.

### Electives

Additional courses should be chosen from the Upper Level Course List (see below) to reach the required minimum number of credits. Courses taken to satisfy any other requirements may not be counted as electives. The number of elective credits depends on whether or not the student is seeking an emphasis.

**Upper Level Course List:**

**Algebra**

** **Math 346 Linear Algebra

Math 347 Intro to Group Theory

Math 348 Intro to Ring Theory

Math 349 Intro to Number Theory

**Analysis**

Math 375 Vector & Complex Analysis

Math 467 Intro to Real Analysis

Math 480 Intro to Topology

**Applied**

Math 352 Computing Math w/ Apps

Math 355 Intro to Numerical Analysis

Math 356 Linear Numerical Analysis

Math 371 Differential Equations

Math 376 Partial Diff. Eq. & BVPs

**Geometry**

Math 331 Fundamentals of Geometry

Math 334 Hyperbolic Geometry

**Statistics**

Math 302 Intermediate Statistical Methods

Math 304 Intro to Nonparametric Methods

Math 305 Stats for Quality & Productivity

Math 381 Stochastic Modeling

Math 385 Applied Regression Analysis

Math 386 Linear Statistical Models

Math 401 Mathematical Statistics

**GPA Requirements:**

To be eligible for graduation with a mathematics major, students must earn a minimum grade point average of 2.00 in all courses required for the Mathematics major.

Those students seeking Wisconsin teacher certification must earn a minimum grade point average of 3.00 in all courses required for their major in order to meet requirements of the College of Education and Human Services. (Subject to change by COEHS and Wisconsin DPI).

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