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
Catalog Year: 2022-23
General Education Requirements
Summary
Code | Title | Hours |
---|---|---|
Mathematics Core Courses | 23 | |
Mathematics Electives | 23 | |
Science Requirement | 18 | |
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 |
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-
Requirements for the Combinatorics & Optimization Concentration
Rule: Complete the following subcategories.12-13 total credits required.
Combinatorics & Optimization Concentration: 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-
Combinatorics & Optimization Concentration: Elective Courses
Code | Title | Hours |
---|---|---|
Complete one of the following courses: | 3-4 | |
Advanced Data Structures and Algorithms | ||
Deterministic Models | ||
Numerical Analysis | ||
Introduction to Probability and Statistics | ||
Probability and Simulation | ||
Total Hours | 3-4 |
Minimum Required Grade: C-