The mathematics named option programs allow students to develop a deep understanding of how the subject relates to other areas of human inquiry. The requirements for these programs feature mathematics courses with topics inspired by and commonly applied to problems in these associated fields. Though often paired with a second major in a related area, these programs function well alone and are suited to any mathematics student with a variety of interests. Students interested in a named option program are recommended to meet with an advisor to navigate the various plans and courses available to them. Advising information can be found on the BA or BS pages.

The named options do not support honors in the major.

The Mathematics for Programming and Computing program requires 10 distinct courses for at least 30 credits as described below. While a single courses may be used to fulfill more than one requirement, it will only contribute once to the total course count. Finally, only one course from each of the following groupings may be used to fulfill course and credit requirements: Intro Linear Algebra (MATH 320, MATH 340, MATH 341, MATH 375), Intro Differential Equations (MATH 319, MATH 320 or MATH 376), and Intro Probability (MATH/STAT 309 or MATH/STAT 431).

Code | Title | Credits |
---|---|---|

Core Math Requirement (minimum of six distinct MATH courses for at least 18 credits) | ||

Linear Algebra | 3-5 | |

Linear Algebra and Differential Equations | ||

or MATH 341 | Linear Algebra | |

or MATH 375 | Topics in Multi-Variable Calculus and Linear Algebra | |

or MATH 340 | Elementary Matrix and Linear Algebra | |

Intermediate Mathematics Requirement (complete at least one) | 0-6 | |

Applied Mathematical Analysis and Applied Mathematical Analysis | ||

Linear Algebra | ||

Topics in Multi-Variable Calculus and Linear Algebra | ||

The Theory of Single Variable Calculus | ||

Introduction to Number Theory | ||

Advanced Mathematics Requirement (complete one) | 3 | |

Numerical Analysis | ||

Analysis I | ||

Probability Theory | ||

Mathematical Methods in Data Science | ||

Linear Algebra II | ||

Modern Algebra | ||

Mathematical Logic | ||

MATH Elective to reach required six courses and 18 credits | 6-12 | |

Select one or more from: ^{1} | ||

Numerical Linear Algebra | ||

Numerical Analysis | ||

Analysis I | ||

Analysis II | ||

Linear Optimization | ||

Probability Theory | ||

Mathematical Methods in Data Science | ||

Linear Algebra II | ||

Modern Algebra | ||

Modern Algebra | ||

Modern Number Theory | ||

Fundamentals of Set Theory | ||

Mathematical Logic | ||

Stochastic Methods for Biology | ||

Analysis of Partial Differential Equations | ||

Introduction to Fourier Analysis | ||

Introduction to Measure and Integration | ||

Introduction to Stochastic Processes | ||

An Introduction to Brownian Motion and Stochastic Calculus | ||

Select remaining courses from: | ||

Introduction to Probability and Mathematical Statistics II | ||

Techniques in Ordinary Differential Equations | ||

or MATH 320 | Linear Algebra and Differential Equations | |

or MATH 376 | Topics in Multi-Variable Calculus and Differential Equations | |

Applied Mathematical Analysis | ||

Applied Mathematical Analysis | ||

Applied Dynamical Systems, Chaos and Modeling | ||

The Theory of Single Variable Calculus | ||

Introduction to Combinatorial Optimization | ||

Introduction to the Theory of Probability | ||

Introduction to Probability and Mathematical Statistics I | ||

Introduction to Cryptography | ||

Applied Linear Algebra | ||

Introduction to Number Theory | ||

Introduction to Combinatorics | ||

Programming and Computations Requirement (Four Courses distinct from the above for at least 12 credits) ^{2} | ||

COMP SCI 300 | Programming II | 3 |

COMP SCI 400 | Programming III | 3 |

Elective ^{3} | 6-8 | |

Introduction to Numerical Methods | ||

Introduction to Combinatorial Optimization | ||

Introduction to Cryptography | ||

Introduction to Computational Statistics | ||

Introduction to Combinatorics | ||

Numerical Linear Algebra | ||

Numerical Analysis | ||

Introduction to Theory of Computing | ||

Introduction to Optimization | ||

Linear Optimization | ||

Advanced Linear Programming | ||

Matrix Methods in Machine Learning | ||

Image Processing | ||

Computational Photography | ||

Introduction to the Theory and Design of Programming Languages | ||

Introduction to Artificial Neural Networks | ||

Introduction to Artificial Intelligence | ||

Natural Language and Computing | ||

Introduction to Computational Geometry | ||

Computer Graphics | ||

Medical Image Analysis | ||

Introduction to Bioinformatics | ||

Introduction to Algorithms | ||

Tools and Environments for Optimization | ||

Introduction to Information Security | ||

Total Credits | 30 |

## Residence and Quality of WOrk

- 2.000 GPA on all MATH courses and courses eligible for the major.
^{4} - 2.000 GPA on at least 15 credits of upper level credit in the major.
^{5} - 15 credits in MATH in the major taken on the UW-Madison campus.
^{6}

## Footnotes

^{1} | This course must be distinct from the advanced mathematics requirement. |

^{2} | Courses below may have prerequisites outside of the requirements for this named option. |

^{3} | Any MATH course from the elective list above may be used in lieu of any of the following courses. |

^{4} | This includes any course with a MATH prefix (including those cross-listed with MATH) regardless of major program as well as only those non-MATH course explicitly listed in the tables above. |

^{5} | This includes any course with a MATH prefix (including those cross-listed with MATH) numbered 307 and above as well as only those non-MATH courses which appear in the tables above and carry the advanced LAS designation. |

^{6} | This includes only those courses with a MATH prefix (or crosslisted with MATH). |

## Sample Four-Year Plan

This Sample Four-Year Plan is a tool to assist students and their advisor(s). Students should use it—along with their DARS report, the Degree Planner, and Course Search & Enroll tools—to make their own four-year plan based on their placement scores, credit for transferred courses and approved examinations, and individual interests. As students become involved in athletics, honors, research, student organizations, study abroad, volunteer experiences, and/or work, they might adjust the order of their courses to accommodate these experiences. Students will likely revise their own four-year plan several times during college.

In general, your four year plan in mathematics should be organized along the following sequence: 1) Calculus, 2) Linear Algebra, 3) Required Intermediate level course, 4) Additional intermediate level courses as needed, 5) Required advanced level course, 6) Additional advanced level courses.

Freshman | |||
---|---|---|---|

Fall | Credits | Spring | Credits |

MATH 221 | 5 | MATH 222 | 4 |

Literature Breadth | 3 | Literature Breadth | 3 |

Communication A | 3 | Ethnic Studies | 3 |

Foreign Language (if required) | 4 | Foreign Language (if required) | 4 |

15 | 14 | ||

Sophomore | |||

Fall | Credits | Spring | Credits |

MATH 234^{1} | 4 | MATH Required Linear Algebra | 3 |

Humanities Breadth | 3 | Required Intermediate MATH | 3 |

Communication B | 3 | Humanities Breadth | 3 |

Physical Science Breadth | 3 | Physical Science Breadth | 3 |

Elective | 3 | Elective | 3 |

16 | 15 | ||

Junior | |||

Fall | Credits | Spring | Credits |

Intermediate MATH | 3 | Intermediate MATH | 3 |

COMP SCI 300 | 3 | COMP SCI 400 | 3 |

Social Sciences Breadth | 3 | L&S Breadth - Social Science | 3 |

Biological Sciences Breadth | 3 | Biological Sciences Breadth | 3 |

Elective | 3 | Elective | 3 |

15 | 15 | ||

Senior | |||

Fall | Credits | Spring | Credits |

Required Advanced MATH | 3 | Advanced MATH | 3 |

Elective Programming/Computations Course | 3 | Elective Programming/Computations Course | 3 |

Social Science Breadth | 3 | Social Science Breadth | 3 |

Elective | 3 | Elective | 3 |

Elective | 3 | Elective | 3 |

15 | 15 | ||

Total Credits 120 |

^{1} | Students should declare the major upon the successful completion of this course |