Mathematics B.A. - Combinatorics and Optimization
This degree concentration differs from the BA in Mathematics without a concentration only in the Concentration Requirements.
General Degree Requirements
To earn a baccalaureate degree, all students must complete successfully, in addition to any other requirements, the University of Montana General Education Requirements. Please refer to the General Education Requirements page for more information.
Additional requirements for graduation can be found on the Degree/Certificate Requirements for Graduation page.
Unless otherwise noted in individual program requirements, a minimum grade point average of 2.00 in all work attempted at the University of Montana-Missoula is required for graduation. Please see the Academic Policies and Procedures page for information on how your GPA is calculated.
Courses taken to satisfy the requirements of a major, minor, or certificate program must be completed with a grade of C- or better unless a higher grade is noted in the program requirements.
BACHELOR OF ARTS - MATHEMATICS; COMBINATORICS & OPTIMIZATION CONCENTRATION
Credit Requirements
The major specific credits are much lower for double-majors and for students completing a minor in another subject:
- 41 credits for students completing a second major, and
- 46 credits for students completing a minor.
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.)
Course Requirements
| Code | Title | Hours |
|---|---|---|
| Core Courses | ||
| 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 |
| Electives 1 | ||
| Complete 18-23 credits (6-7 courses) of the following courses. At least three courses must be at the 400 level. See note below about the elective credit requirement. | 18-23 | |
| 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 2 | ||
| 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 | ||
| Probability and Simulation | ||
| Probability Theory | ||
| Mathematical Statistics | ||
| Statistical Methods II | ||
| Science Requirement 3 | ||
| 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 | |
| Language/Computer Science Requirement 4 | ||
| Complete either the General Education Language Requirement or 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 | ||
| Combinatorics & Optimization Concentration | ||
| These courses count toward the mathematics electives requirement | ||
Combinatorics & Optimization Concentration Core Courses | ||
Complete all of the following courses: | ||
| Discrete Optimization | ||
| Linear Optimization | ||
| Graph Theory | ||
Combinatorics & Optimization Concentration Elective Courses | ||
Complete one of the following courses: | ||
| Advanced Data Structures and Algorithms | ||
| Deterministic Models | ||
| Numerical Analysis | ||
| Probability and Simulation | ||
| Total Hours | 62-67 | |
- 1
Students completing a second major need take only 18 credits. Students completing a minor in another subject need take only 20 credits. All other students must complete 23 credits and 7 courses. 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).
- 2
M 429 is also an advanced college writing course. Most Mathematics majors use M 429 to meet the advanced college writing general education requirement.
- 3
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.
- 4
Students completing a second major are exempt from this requirement.
| Code | Title | Hours |
|---|---|---|
| Elective Computer Labs and Independent Study Courses | ||
| 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. | ||
| Linear Optimization Laboratory | ||
| Independent Study | ||
| Independent Study | ||
| Computer Data Analysis I | ||
| Computer Data Analysis II | ||