400-level Approved Sequences for the Mathematics Major
| Course Number |
Course Title |
|---|
| Mth 411-412 |
Introduction to Real Analysis I, II |
| Mth 421-422 |
Theory of Ordinary Differential Equations I, II |
| Mth 424-425 |
Elementary Differential Geometry and Tensor Analysis I, II |
| Mth 427-428 |
Partial Differential Equations I, II |
| Mth 431-432 |
Topics in Geometry I, II |
| Mth 434-435 |
Set Theory and Topology I, II |
| Mth 435-436 |
Set Theory and Topology II, III |
| Mth 441-442 |
Introduction to Abstract Algebra I, II |
| Mth 444-445 |
Advanced Linear/ Multilinear Algebra I, II |
| Mth 451-452 |
Numerical Calculus I, II |
| Mth 457-458 |
The Mathematical Theory of Games |
| Mth 461-462 |
Graph Theory I, II |
| Mth 464-465 |
Numerical Optimization I, II |
| Mth 470-471 |
Complex Analysis and Boundary Value Problems I, II |
| Mth 477-478 |
Mathematical Control Theory I, II |
| Stat 461-462 |
Introduction to Mathematical Statistics I, II |
| Stat 465-466 |
Experimental Design: Theory and Methods I, II |
| Stat 467-468 |
Applied Probability I, II |
Each course appearing on the 400 level approved sequences list counts as an approved elective when it is not used as part of the sequence satisfying the 400 level sequence requirement for the major.
In addition, the following courses also count as approved electives.
Approved Electives for the Mathematics Major
| Course Number |
Course Title |
|---|
| Mth 300 |
Introduction to Mathematical Reasoning |
| Mth 313 |
Advanced Multivariable Calculus |
| Mth 322 |
Applied Partial Differential Equations |
| Mth 324 |
Vector Analysis |
| Mth 338 |
Modern College Geometry |
| Mth 343 |
Applied Linear Algebra |
| Mth 345 |
Introduction to Ring and Field Theory |
| Mth 346 |
Number Theory |
| Mth 356 |
Discrete Mathematics |
| Mth 449 |
Topics in Advanced Number Theory |
| Mth 456 |
Topics in Combinatorics |
| Mth 480 |
Systems Analysis: Calculus of Variations |
| Mth 481 |
Topics in Probability for Mathematics Teachers |
| Mth 482 |
Topics in Statistics for Mathematics Teachers |
| Mth 483 |
Topics in Geometry for Mathematics Teachers |
| Mth 484 |
Topics in Algebra for Mathematics Teachers |
| Mth 485 |
Topics in Analysis for Mathematics Teachers |
| Mth 486 |
Topics in the History of Mathematics |
| Mth 487 |
Discrete Mathematics for Mathematics Teachers |
| Mth 488 |
Topics in Technology for Mathematics Teachers |
| Stat 451 |
Applied Statistics for Engineers and Scientists I |
| Stat 452 |
Applied Statistics for Engineers and Scientists II |
| Stat 464 |
Applied Regression Analysis |
Approved Mathematics + Statistics Electives for the Data Science Major
| Course Number |
Course Title |
|---|
| Mth 451 |
Numerical Calculus I |
| Mth 452 |
Numerical Calculus II |
| Mth 453 |
Numerical Calculus III |
| Mth 461 |
Graph Theory I |
| Mth 464 |
Numerical Optimization I |
| Mth 465 |
Numerical Optimization II |
| Mth 462 |
Graph Theory II |
| Stat 461 |
Introduction to Mathematical Statistics I |
| Stat 462 |
Introduction to Mathematical Statistics II |
Approved Electives from Other Disciplines for the Data Science Major
| Course Number |
Course Title |
|---|
| PHE 350 |
Health and Health Systems |
| PHE 450 |
Epidemiology |
| PHE 427 |
Health Informatics |
| CS 445 |
Machine Learning |
| CS 441 |
Artificial Intelligence |
| CS 430 |
Internet and Cloud Computing |
| ACTG 335 |
Accounting Information Systems |
| G 324 |
Data Management and Analysis |
| ISQA 481 |
Blockchain Fundamentals |
| MGMT 442 |
Human Resources Information Technology & People Analytics |
| GSCM 412 |
Introduction to Enterprise Resource Planning Systems |
| Phl, 314U |
Computer Ethics |
| Comm 389U |
Ethics of Human Communication |
Check with the adviser for the list of additional courses, including omnibus-numbered courses, which may be approved as electives.