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: 2020-21
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
Mathematics Core Courses | 23 | |
Mathematics Electives | 23 | |
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-
Mathematics Electives
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.
Elective Courses
Note:
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.
Course List | ||
Code | Title | Hours |
---|---|---|
Complete 7 courses from the following list; at least 3 of them must be at the 400 level: | ||
M 274 | Introduction to Differential Equations | |
M 301 | Teaching Mathematics with Technology | |
M 311 | Ordinary Differential Equations and Systems | |
M 325 | Discrete Mathematics | |
M 326 | Number Theory | |
M 361 | Discrete Optimization | |
M 362 | Linear Optimization | |
M 381 | Advanced Calculus I | |
M 412 | Partial Differential Equations | |
M 414 | Deterministic Models | |
M 429 | History of Mathematics | |
M 431 | Abstract Algebra I | |
M 432 | Abstract Algebra II | |
M 439 | Euclidean and NonEuclidean Geometry | |
M 440 | Numerical Analysis | |
M 445 | Statistical, Dynamical, and Computational Modeling | |
M 461 | Data Science Analytics | |
M 462 | Theoretical Basics of Big Data Analytics and Real Time Computation Algorithms | |
M 472 | Introduction to Complex Analysis | |
M 473 | Introduction to Real Analysis | |
M 485 | Graph Theory | |
STAT 341 | Introduction to Probability and Statistics | |
STAT 421 | Probability Theory | |
STAT 422 | Mathematical Statistics | |
STAT 452 | 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 | variable |
M 418 | Partial Differential Equations Computer Lab | 1 |
M 492 | Independent Study | variable |
STAT 392 | Independent Study | variable |
STAT 457 | Computer Data Analysis I | 1 |
STAT 458 | Computer Data Analysis II | 1 |
STAT 492 | Independent Study | variable |
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 | |
CSCI 100 | Intro to Programming | |
CSCI 126 | Computation in the Sciences with Calculus | |
CSCI 135 | Fund of Computer Science I | |
CSCI 136 | 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-
Combinatorics & Optimization Concentration: Elective Courses
Code | Title | Hours |
---|---|---|
Complete one of the following courses: | 3-4 | |
CSCI 332 | Advanced Data Structures and Algorithms | |
M 414 | Deterministic Models | |
M 440 | Numerical Analysis | |
STAT 341 | Introduction to Probability and Statistics | |
Total Hours | 3-4 |
Minimum Required Grade: C-