Mathematics B.A. - Combinatorics and Optimization
This degree concentration differs from the BA in Mathematics without a concentration only in the Concentration Requirements.
Bachelor of Arts - Mathematics; Combinatorics & Optimization Concentration
College of Humanities & Sciences
Degree Specific Credits: 67
Required Cumulative GPA: 2.0
Catalog Year: 2018-2019
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.
Note 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.)
General Education Requirements
Summary
| Code | Title | Hours |
|---|---|---|
| Mathematics Core Courses | 23 | |
| Upper-Division Mathematics Requirement | 23 | |
Upper-Division Elective Courses | ||
| Science Requirement | 18 | |
| Foreign Language/Computer Science Requirement | 3 | |
| Requirements for the Combinatorics & Optimization Concentration (usually fulfilled with courses that count towards the Upper-Division Mathematics Requirement) | ||
| Total Hours | 67 | |
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-
Upper-Division Mathematics Requirement
Rule: Complete 23 credits in this category.
Note:
- Students completing a minor (in another subject) need take only 20 credits.
- Students completing a second major need take only 18 credits.
Upper-Division Elective Courses
Note:
- Students completing a minor in another subject or a second major need take only 6 courses (totaling 18 credits or more).
- 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: | ||
| Mathematics Technology for Teachers | ||
| Ordinary Differential Equations and Systems | ||
| 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 | ||
| Probability Theory | ||
| Mathematical Statistics | ||
| Statistical Methods II | ||
Minimum Required Grade: C-
Upper-Division Elective Computer Labs
Rule: Computer labs from the following list are optional; if taken (0-2 credits), they count toward the total number of credits required for the Upper-Division Mathematics Requirement.
| Code | Title | Hours |
|---|---|---|
| M 317 | Ordinary Differential Equations Computer Lab | 1 |
| M 363 | Linear Optimization Laboratory | 1 |
| M 418 | Partial Differential Equations Computer Lab | 1 |
| STAT 457 | Computer Data Analysis I | 1 |
| STAT 458 | Computer Data Analysis II | 1 |
Minimum Required Grade: C-
Science Requirement
Rule: Take 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).
Note:
- 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.
Minimum Required Grade: C-
Foreign Language/Computer Science Requirement
Rule: Either complete the General Education Requirement "Group III: Modern and Classical Language" (not the symbolic systems exception), 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: | 3 | |
| Intro to Programming | ||
| Computation in the Sciences with Calculus | ||
| Fund of Computer Science I | ||
| Fund of Computer Science II | ||
| Total Hours | 3 | |
Minimum Required Grade: C-
Requirements for the Combinatorics & Optimization Concentration
Rule: Complete the following subcategories.12-13 total credits required.
Combinatorics & Optimization Option: Core Courses
| Code | Title | Hours |
|---|---|---|
| Complete all of the following courses: | ||
| M 361 | Discrete Optimization | 3 |
| M 362 | Linear Optimization | 3 |
| M 485 | Graph Theory | 3 |
| Total Hours | 9 | |
Minimum Required Grade: C-