Major Requirements
No Emphasis | Statistics Emphasis | Teaching Emphasis
The mathematics major introduces students to a broad range of mathematics disciplines, including analysis, abstract algebra, applied mathematics, probability and statistics. The major offers two optional emphases: in Statistics and in Teaching.
All Math Majors, regardless of emphasis, complete a 15-credit core in differential and integral calculus, and introductions to linear and abstract mathematics.
Mathematics Major
With No Emphasis
Mathematics majors with no emphasis complete the 15-credit core, multivariable calculus, probability & statistics, upper-level courses in analysis, abstract algebra, applied mathematics, upper-level electives and a capstone.
Mathematics Major with no emphasis allows students flexibility in choosing their upper-level elective course to suit their interests and career goals. For example, students interested in modeling or computing may wish to focus their elective choices on Applied Mathematics, while those planning to pursue graduate study in mathematics should take a broad range of courses, in consultation with their advisor.
Course Requirements
Required Units: 40 credits minimum
Core Mathematics Courses: (15 credits)
- Math 171 Calculus I (5 cr.)
- Math 172 Calculus II (4 cr.)
- Math 222 Intro to Abstract Mathematics (3 cr.)
- Math 256 Intro to Linear Mathematics (3 cr.)
Other Required Courses: (16 credits)
- Math 273 Calculus III (4 cr.)
- Math 301 Introduction to Probability and Statistics (3 cr.)
- Analysis Requirement (3 cr): choose from: Math 467 Intro to Real Analysis, or Math 480 Intro to Topology
- Algebra Requirement (3 cr): choose from: Math 346 Linear Algebra, Math 347 Introduction to Abstract Algebra, Math 348 Ring Theory, or Math 349 Number Theory
- Applied Requirement (3 cr): choose from: 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.
Capstone: (2 credits minimum)
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.
- 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.
Electives (7-9 credits)
Additional courses (typically three) to be chosen from the Upper Level Course List (see below) to reach the required 40 credits. Courses taken to satisfy any other requirements may not be counted as electives.
- Algebra
- Math 346 Linear Algebra
- Math 347 Intro to Abstract Algebra
- 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.
Four-Year Plan
The following table serves as a recommendation and is not a requirement for math majors.
This suggested schedule includes only the mathematics program requirements. It does not include other degree requirements for graduation (e.g., University Studies Program requirements).
| Year | Core Courses | Other Required Courses | Elective(s) | |
|---|---|---|---|---|
| Freshman |
Math 171 5 cr |
|||
| Soph. | Math 222 3 cr Math 256 3 cr Math 273 4 cr Math 301 3 cr |
|||
| Junior |
Analysis (3 cr): Math 467 or Math 480 Algebra (3 cr): Math 346, Math 347, Math 348, or Math 349 Applied (3 cr): Math 352, Math 355, Math 356, Math 371, or Math 376 |
Sufficient additional credits (usually 7-8), not already taken, chosen from the Upper Level Course list (see below) |
||
| Senior |
Capstone (2-3 cr): Math 365, Math 403, Math 430, Math 446, Math 474, or Math 495 |
|||
Upper Level Course List
|
||
| Algebra: | Math 346 Linear Algebra Math 347 Intro to Abstract Algebra |
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 |
Mathematics Major
With Statistics Emphasis
Mathematics majors with a statistics emphasis complete the 15-credit core, multivariable calculus, probability & statistics, analysis, abstract algebra, upper-level statistics courses and a capstone.
The statistics emphasis is designed for students who have a particular interest in analyzing data from diverse fields such as agriculture and environmental sciences, business and economics, social sciences, and health sciences. Statisticians work closely with other scientists and researchers to develop new statistical techniques, adapt existing techniques to new situations, design experiments, and direct the analysis of surveys and retrospective studies.
Course Requirements
Required Units: 41 credits minimum
Core Mathematics Courses: (15 credits)
- Math 171 Calculus I (5 cr.)
- Math 172 Calculus II (4 cr.)
- Math 222 Intro to Abstract Mathematics (3 cr.)
- Math 256 Intro to Linear Mathematics (3 cr.)
Other Required Courses: (13 credits)
- Math 273 Calculus III (4 cr.)
- Math 301 Introduction to Probability and Statistics (3 cr.)
- Analysis Requirement (3 cr): choose from: Math 467 Intro to Real Analysis, or Math 480 Intro to Topology
- Algebra Requirement (3 cr): choose from: Math 346 Linear Algebra, Math 347 Intro to Abstract Algebra, Math 348 Ring Theory, or Math 349 Number Theory
Statistics Requirement: (9 credits)
- 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.)
Capstone: (2 credits minimum)
- Choose from: Math 403 Issues in Statistical Practice, Math 446 Independent Study, or Math 474 Honors Thesis
Electives (3 credits)
One additional course to be chosen from any category in the list below. Courses taken to satisfy any other requirements may not be counted as electives.
- Algebra
- Math 346 Linear Algebra
- Math 347 Intro to Abstract Algebra
- 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
- Statistics
- Math 302 Intermediate Statistical Methods
- Math 304 Intro to Nonparametric Methods
- Math 305 Stats for Quality & Productivity
- Math 381 Stochastic Modeling
- Math 386 Linear Statistical Models
GPA Requirement
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.
Four-Year Plan
The following table serves as a recommendation and is not a requirement for math majors.
This suggested schedule includes only the mathematics program requirements. It does not include other degree requirements for graduation (e.g., University Studies Program requirements).
| Year | Core Courses | Other Required Courses | Elective(s) | |
|---|---|---|---|---|
| Freshman | Math 171 5 cr Math 172 4 cr
|
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| Soph. | Math 222 3 cr Math 256 3 cr Math 273 4 cr Math 301 3 cr
|
|||
| Junior |
Analysis (3 cr): Math 467 or Math 480 Algebra (3 cr): Math 346, Math 347, Math 348, or Math 349 Statistics (9 cr):
|
Three additional credits not already taken, chosen from the Upper Level Course list (see below). (Note that Math 331 and Masth 334 do NOT meet this requirement.) |
||
| Senior |
Capstone (2-3 cr): Math 403, Math 446, or Math 474 |
|||
Upper Level Course List
|
||
| Algebra: | Math 346 Linear Algebra Math 347 Intro to Abstract Algebra |
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 |
| Statistics: | Math 302 Intermediate Statistical Methods Math 304 Intro to Nonparametric Methods Math 305 Stats for Quality & Productivity |
Math 381 Stochastic Modeling Math 386 Linear Statistical Models |
Mathematics Major
With Teaching Emphasis
Mathematics Majors with a Teaching Emphasis complete the 15-credit core, foundational elementary mathematics course, upper-level modern geometry, modern algebra, and probability & statistics courses with connections the middle and high school curriculum, an upper-level abstract math elective, and a capstone.
The Math Major with a Teaching emphasis is designed for students who plan to teach mathematics in high school or middle school, and provides students with a solid foundation in the broad range of mathematics knowledge required for teaching in middle and high school, and combines with a program of studies in the College of Education and Human Services to lead to Wisconsin Certification to teach mathematics in grades 4-12.
Course Requirements
Required Units: 40 credits minimum
Core Mathematics Courses: (15 credits)
- Math 171 Calculus I (5 cr.)
- Math 172 Calculus II (4 cr.)
- Math 222 Intro to Abstract Mathematics (3 cr.)
- Math 256 Intro to Linear Mathematics (3 cr.)
Elementary Foundations Courses: (8 credits)
- Math 110 Number Systems for Teaching (4 cr.)
- Math 211 Geometry & Measurement for Teaching (2 cr.)
- Math 213 Transformations, Probability and Data for Teaching (2 cr.)
Upper-Level Mathematics for Teaching: (12 credits)
- Math 317 Probability and Statistics for Teaching (4 credits)
- Math 413 Modern Algebra for Teaching (4 credits)
- Math 415 Geometries for Teaching (4 credits)
Abstract Math Requirement: (3-4 credits)
Choose ONE of the following:
- Math 331 Fundamentals of Geometry (2 cr) AND Math 334 Hyperbolic Geometry (2 cr)
- Math 346 Linear Algebra (3 cr)
- Math 347 Intro to Abstract Algebra (3 cr)
- Math 348 Intro to Ring Theory
- Math 349 Intro to Number Theory
- Math 467 Intro to Real Analysis (3 cr)
- Math 480 Intro to Topology (3 cr)
Capstone: (3 credits minimum)
Choose ONE of the following:
- Math 490 Senior Seminar for Math Teaching (3 cr)
- Math 430 International Comparative Mathematics Education (3 cr)
- Math 432 History and Philosophy of Math and Math Ed (4 cr)
Note: Math 430 and Math 432 are offered only on a study-away program.
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).
Four-Year Plan
The following table serves as a recommendation and is not a requirement for math majors.
This suggested schedule includes only the mathematics program requirements. It does not include other degree requirements for graduation (e.g., University Studies Program requirements).
| Year | Core Courses | Other Required Courses | Capstone |
|---|---|---|---|
| Freshman |
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| Soph. |
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| Junior |
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| Senior |
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