Navigated to Computer Science-Mathematical Sciences (Combined Major) < University of Montana.
Computer Science-Mathematical Sciences (Combined Major)
The purpose of the combined program is to provide a thorough background in both allied disciplines and to inculcate a deeper understanding of their goals and methods. A student must complete 60 credits in the two disciplines:
- 30 of these credits in Computer Science courses and
- 30 of these credits in Mathematical Sciences courses.
Each student plans a program in consultation with a Computer Science and a Mathematical Sciences advisor. Students planning to attend graduate school in computer science or the mathematical sciences should consult with their respective advisors.
Bachelor of Science - Computer Science-Mathematical Science
College of Humanities & Sciences
Degree Specific Credits: 72-73
Required Cumulative GPA: 2.0
Catalog Year: 2019-2020
General Education Requirements
Information regarding these requirements can be found in the General Education Section of the catalog.
Summary
| Code | Title | Hours |
|---|---|---|
| Mathematical Science | 31 | |
| Computer Science | 29 | |
| Science Requirement | 9-10 | |
Biology Sequence Option | ||
Chemistry Sequence Option | ||
Physics Sequence Option | ||
| Public Speaking Requirement | 3 | |
| Total Hours | 72-73 | |
Mathematical Sciences
Rule: Complete the following subcategories. 31 total credits required.
Mathematical Sciences Core
| 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 221 | Introduction to Linear Algebra | 4 |
| M 273 | Multivariable Calculus | 4 |
| M 307 | Introduction to Abstract Mathematics | 3 |
| or M 225 | Introduction to Discrete Mathematics | |
| Total Hours | 19 | |
Minimum Required Grade: C-
Mathematical Sciences Electives
Note: The combined nine credits of Computer Science Electives and twelve credits of Mathematical Sciences Electives must include at least three 3 or 4 credit courses numbered 400 or above, with at least one chosen from each department (not including M 429 and STAT 451, STAT 452).
| Code | Title | Hours |
|---|---|---|
| Complete 12 credits of the following courses: | 12 | |
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 451 | Statistical Methods I | |
STAT 452 | Statistical Methods II | |
| Total Hours | 12 | |
Minimum Required Grade: C-
Computer Science
Rule: Complete the following subcategories. 30 total credits required.
Computer Science Core
| Code | Title | Hours |
|---|---|---|
| Complete all of the following courses: | ||
| CSCI 106 | Careers in Computer Science | 1 |
| CSCI 135 | Fund of Computer Science I | 3 |
| CSCI 136 | Fund of Computer Science II | 3 |
| CSCI 205 | Programming with C/C++ | 3 |
| CSCI 232 | Data Structures and Algorithms | 4 |
| CSCI 332 | Design/Analysis of Algorithms | 3 |
| CSCI 361 | Computer Architecture | 3 |
| Total Hours | 20 | |
Minimum Required Grade: C-
Computer Science Electives
Note:
- A total of at most three of the nine credits of Computer Science Electives may be in CSCI 398 or CSCI 498.
- The combined nine credits of Computer Science Electives and twelve credits of Mathematical Sciences Electives must include at least three 3 or 4 credit courses numbered 400 or above, with at least one chosen from each department (not including M 429 and STAT 451, STAT 452).
| Code | Title | Hours |
|---|---|---|
| Complete 9 credits of the following courses: | 9 | |
CSCI 315E | Computers, Ethics, and Society | |
CSCI 323 | Software Science | |
CSCI 340 | Database Design | |
CSCI 390 | Research | |
CSCI 391 | Special Topics | |
CSCI 394 | Seminar | |
CSCI 398 | Internship | |
CSCI 411 | Advanced Web Programming | |
CSCI 412 | Game and Mobile App | |
CSCI 426 | Adv Prgrmng Theory/Practice I | |
CSCI 427 | Adv Prgrmng Theory/Practice II | |
CSCI 441 | Computer Graphics Programming | |
CSCI 443 | User Interface Design | |
CSCI 444 | Data Visualization | |
CSCI 446 | Artificial Intelligence | |
CSCI 447 | Machine Learning | |
CSCI 448 | Pattern Recognition | |
CSCI 451 | Computational Biology | |
CSCI 460 | Operating Systems | |
CSCI 464 | Applications of Mining Big Data | |
CSCI 466 | Networks | |
CSCI 477 | Simulation | |
CSCI 480 | Applied Parallel Computing Techniques | |
CSCI 490 | Research | |
CSCI 491 | Special Topics | |
CSCI 494 | Seminar | |
CSCI 498 | Internship | |
CSCI 499 | Senior Thesis/Capstone | |
| Total Hours | 9 | |
Minimum Required Grade: C-
Science Requirement
Rule: Complete 1 of the following subcategories. 9-10 total credits required.
Biology Sequence Option
| Code | Title | Hours |
|---|---|---|
| Complete all of the following courses: | ||
| BIOB 160N | Principles of Living Systems | 3 |
| BIOB 161N | Prncpls of Living Systems Lab | 1 |
| BIOB 170N | Princpls Biological Diversity | 3 |
| BIOB 171N | Princpls Biological Dvrsty Lab | 2 |
| Total Hours | 9 | |
Minimum Required Grade: C-
Chemistry Sequence Option
| Code | Title | Hours |
|---|---|---|
| Complete all of the following courses: | ||
| CHMY 141N & CHMY 142N | College Chemistry I and College Chemistry I Lab | 5 |
| CHMY 143N & CHMY 144N | College Chemistry II and College Chemistry II Lab | 5 |
| Total Hours | 10 | |
Minimum Required Grade: C-
Physics Sequence Option
| Code | Title | Hours |
|---|---|---|
| Complete all of the following courses: | ||
| PHSX 215N | Fund of Physics w/Calc I | 4 |
| PHSX 216N | Physics Laboratory I w/Calc | 1 |
| PHSX 217N | Fund of Physics w/Calc II | 4 |
| PHSX 218N | Physics Laboratory II w/Calc | 1 |
| Total Hours | 10 | |
Minimum Required Grade: C-
Public Speaking Requirement
| Code | Title | Hours |
|---|---|---|
| Complete 1 of the following courses: | 3 | |
COMX 111A | Introduction to Public Speaking | |
COMX 242 | Argumentation | |
| Total Hours | 3 | |
Minimum Required Grade: C-
Suggested Curricula
Note: Students are encouraged to choose their Computer Science and Mathematical Sciences Electives according to one of the following curricula; these tracks are suggestions only and, as such, optional. Note that the suggested curricula do not include an advanced College Writing Course.
Applied Math Scientific Programming
| Code | Title | Hours |
|---|---|---|
| M 311 | Ordinary Differential Equations and Systems | 3 |
| M 412 | Partial Differential Equations | 3 |
| M 414 | Deterministic Models | 3 |
| Select one of the following: | 3-4 | |
M 381 | Advanced Calculus I | |
M 440 | Numerical Analysis | |
M 472 | Introduction to Complex Analysis | |
M 473 | Introduction to Real Analysis | |
STAT 341 | Introduction to Probability and Statistics | |
| Select three of the following: | 9 | |
CSCI 441 | Computer Graphics Programming | |
CSCI 444 | Data Visualization | |
CSCI 460 | Operating Systems | |
CSCI 477 | Simulation | |
| Total Hours | 21-22 | |
Combinatorics and Optimization Artificial Intelligence
| Code | Title | Hours |
|---|---|---|
| M 361 | Discrete Optimization | 3 |
| M 362 | Linear Optimization | 3 |
| Select two of the following: | 6 | |
M 325 | Discrete Mathematics | |
M 414 | Deterministic Models | |
M 485 | Graph Theory | |
STAT 341 | Introduction to Probability and Statistics | |
| CSCI 446 | Artificial Intelligence | 3 |
| CSCI 447 | Machine Learning | 3 |
| CSCI 460 | Operating Systems | 3 |
| Total Hours | 21 | |
Data Science (Big Data Analytics)
| Code | Title | Hours |
|---|---|---|
| M 461 | Data Science Analytics | 3 |
| M 462 | Theoretical Basics of Big Data Analytics and Real Time Computation Algorithms | 3 |
| STAT 341 | Introduction to Probability and Statistics | 3 |
| STAT 451 | Statistical Methods I | 3 |
| STAT 452 | Statistical Methods II | 3 |
| Select three of the following: | 9 | |
CSCI 444 | Data Visualization | |
CSCI 447 | Machine Learning | |
CSCI 448 | Pattern Recognition | |
CSCI 464 | Applications of Mining Big Data | |
CSCI 480 | Applied Parallel Computing Techniques | |
| Total Hours | 24 | |
Statistics Machine Learning
| Code | Title | Hours |
|---|---|---|
| STAT 341 | Introduction to Probability and Statistics | 3 |
| STAT 421 | Probability Theory | 3 |
| Select two of the following: | 6 | |
M 325 | Discrete Mathematics | |
M 362 | Linear Optimization | |
M 485 | Graph Theory | |
STAT 422 | Mathematical Statistics | |
| Select three of the following: | 9 | |
CSCI 340 | Database Design | |
CSCI 444 | Data Visualization | |
CSCI 446 | Artificial Intelligence | |
CSCI 447 | Machine Learning | |
CSCI 451 | Computational Biology | |
| Total Hours | 21 | |
Algebra Analysis
| Code | Title | Hours |
|---|---|---|
| M 381 | Advanced Calculus I | 3 |
| M 431 | Abstract Algebra I | 4 |
| Select two of the following: | 7-8 | |
M 326 | Number Theory | |
M 432 | Abstract Algebra II | |
M 472 | Introduction to Complex Analysis | |
M 473 | Introduction to Real Analysis | |
| CSCI 426 | Adv Prgrmng Theory/Practice I | 3 |
| CSCI 460 | Operating Systems | 3 |
| CSCI Elective | 3 | |
| Total Hours | 23-24 | |