# Mathematics B.A.

This degree is the BA in Mathematics without a concentration. Students can add one or more of the concentrations in Applied Mathematics, Combinatorics & Optimization, Pure Mathematics, or Statistics and Data Science to this degree by fulfilling the respective Concentration Requirements (achieved by taking specific Upper-Division Elective Courses). Typically, students declare one of these four concentrations during their sophomore or junior year. Note that the requirements for the Mathematics Education concentration are extensive and differ substantially from the requirements for the other concentrations. Students interested in Mathematics Education are encouraged to declare this concentration as early as possible, preferably during their first year at UM.

## Bachelor of Arts - Mathematics

### College of Humanities & Sciences

### Catalog Year: 2022-23

## General Education Requirements

Information regarding these requirements can be found in the General Education Section of the catalog.

## Summary

Code | Title | Hours |
---|---|---|

Mathematics Core Courses | 23 | |

Mathematics Electives | 23 | |

Science Requirement | 18 | |

Language/Computer Science Requirement | 3 | |

Total Hours | 67 |

**Degree Specific Credits:** 67

**Required Cumulative GPA:** 2.0

**Note on degree specific credits**: The degree specific credits are much lower for double-majors and for students completing an additional minor (in another subject):

- 41 credits for students completing a second major, and
- 46 credits for students completing a minor.

**Notes on the GPA requirement**:

- A cumulative GPA of 2.0 is required for all courses used to fulfill major requirements.
- In addition, a cumulative GPA of 2.0 is required for all mathematical sciences courses used to fulfill major requirements. (Mathematical sciences courses are those with a prefix of M or STAT.)

### Mathematics Core Courses

Code | Title | Hours |
---|---|---|

Complete all of the following courses: | ||

M 171 | Calculus I | 4 |

or M 181 | Honors Calculus I | |

M 172 | Calculus II | 4 |

or M 182 | Honors Calculus II | |

M 210 | Introduction to Mathematical Software | 3 |

M 221 | Introduction to Linear Algebra | 4 |

M 273 | Multivariable Calculus | 4 |

M 300 | Undergraduate Mathematics Seminar | 1 |

M 307 | Introduction to Abstract Mathematics | 3 |

Total Hours | 23 |

Minimum Required Grade: C-

### Mathematics Electives

**Rule:** Complete 23 credits in this category.

**Notes:**

- Students completing a minor (in another subject) need take only 20 credits.
- Students completing a second major need take only 18 credits.

#### Elective Courses

**Notes:**

- Students completing a minor in another subject or a second major need take only 6 courses.
- Residency Requirement: At least 4 of the courses in this category must be taken at UM-Missoula (only 3 if M 307 is taken at UM-Missoula).
- Note that STAT 451 does not count toward this requirement.
- In addition to counting towards this requirement, M 429 (History of Mathematics) is also an advanced college writing course. Most Mathematics majors use M 429 to meet the advanced college writing general education requirement.

Code | Title | Hours |
---|---|---|

Complete 7 courses from the following list; at least 3 of them must be at the 400 level | ||

Introduction to Differential Equations | ||

Teaching Mathematics with Technology | ||

Discrete Mathematics | ||

Number Theory | ||

Discrete Optimization | ||

Linear Optimization | ||

Advanced Calculus I | ||

Partial Differential Equations | ||

Deterministic Models | ||

History of Mathematics | ||

Abstract Algebra I | ||

Abstract Algebra II | ||

Euclidean and NonEuclidean Geometry | ||

Numerical Analysis | ||

Statistical, Dynamical, and Computational Modeling | ||

Data Science Analytics | ||

Theoretical Basics of Big Data Analytics and Real Time Computation Algorithms | ||

Introduction to Complex Analysis | ||

Introduction to Real Analysis | ||

Graph Theory | ||

Introduction to Probability and Statistics | ||

or STAT 342 | Probability and Simulation | |

Probability Theory | ||

Mathematical Statistics | ||

Statistical Methods II |

Minimum Required Grade: C-

#### Elective Computer Labs and Independent Study Courses

**Rule:** Computer labs and independent study courses from the following list are optional; if taken (0-2 credits), they count toward the total number of credits required for the Mathematics Elective requirement.

Code | Title | Hours |
---|---|---|

M 275 | Differential Equations Computer Lab | 1 |

M 363 | Linear Optimization Laboratory | 1 |

M 392 | Independent Study | 1-9 |

M 418 | Partial Differential Equations Computer Lab | 1 |

M 492 | Independent Study | 1-9 |

STAT 457 | Computer Data Analysis I | 1 |

STAT 458 | Computer Data Analysis II | 1 |

Minimum Required Grade: C-

### Science Requirement

**Notes:**

- Students completing a minor (in another subject) or a second major are exempt from this requirement.
- Transfer courses listed on the transcript as CSCI TR* may include course work in other areas such as Computer Applications (CAPP) and therefore do not count towards this requirement unless a student successfully petitions the Department of Mathematical Sciences.

Code | Title | Hours |
---|---|---|

Complete 18 credits in at most 3 areas selected from astronomy (ASTR), biology (BIO*), chemistry (CHMY), computer science (CSCI, except CSCI TR*), economics (ECNS), forestry (FORS, WILD), geosciences (GEO), management information systems (BMIS), and physics (PHSX). | 18 | |

Total Hours | 18 |

Minimum Required Grade: C-

### Language/Computer Science Requirement

**Rule:** Either complete the General Education Requirement Group III: Modern and Classical Language or take one course from the following list.

**Note:** Students completing a second major are exempt from this requirement.

Code | Title | Hours |
---|---|---|

Complete one of the following courses: | 3 | |

Computation in the Sciences with Calculus | ||

Introduction to Computer Science | ||

Interdisciplinary Computer Science I | ||

Interdisciplinary Computer Science II | ||

Total Hours | 3 |

Minimum Required Grade: C-