# 2026-2027 Course Catalog

**Source**: https://catalog.illinois.edu/undergraduate/las/minors/mathematics/
**Parent**: https://catalog.illinois.edu/degree-programs/undergraduate_index/

*for the Undergraduate Minor in Mathematics*

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Students must complete [MATH 241](https://catalog.illinois.edu/search/?P=MATH%20241 "MATH 241"), and at least one 400-level MATH course for admission into the minor. The Mathematics minor is designed to prepare students majoring in some other discipline with a background in mathematics that is both broad and deep. Students interested in pursuing the minor should have completed the calculus sequence through [MATH 241](https://catalog.illinois.edu/search/?P=MATH%20241 "MATH 241"), and one additional Math course at the 400-level demonstrating a strong record of success in college-level mathematics courses. Given the cumulative character of mathematics preparation, students earning grades of C or below in previous mathematics courses are advised not to pursue the minor.

*for the Undergraduate Minor in Mathematics*

---

Course List

     | Code | Title | Hours |
| --- | --- | --- |
| [MATH 241](https://catalog.illinois.edu/search/?P=MATH%20241 "MATH 241") | Calculus III | 4 |
| Five courses chosen from the following lists: | | 15 |
| Algebra | |  |
| [ASRM 406](https://catalog.illinois.edu/search/?P=ASRM%20406 "ASRM 406") | Linear Algebra with Financial Applications (formerly MATH 410) |  |
| [MATH 257](https://catalog.illinois.edu/search/?P=MATH%20257 "MATH 257") | Linear Algebra with Computational Applications |  |
| [MATH 415](https://catalog.illinois.edu/search/?P=MATH%20415 "MATH 415") | Applied Linear Algebra |  |
| [MATH 416](https://catalog.illinois.edu/search/?P=MATH%20416 "MATH 416") | Abstract Linear Algebra |  |
| [MATH 417](https://catalog.illinois.edu/search/?P=MATH%20417 "MATH 417") | Intro to Abstract Algebra |  |
| [MATH 418](https://catalog.illinois.edu/search/?P=MATH%20418 "MATH 418") | Intro to Abstract Algebra II |  |
| [MATH 427](https://catalog.illinois.edu/search/?P=MATH%20427 "MATH 427") | Honors Abstract Algebra |  |
| [MATH 453](https://catalog.illinois.edu/search/?P=MATH%20453 "MATH 453") | Number Theory |  |
| Discrete Mathematics | |  |
| [MATH 412](https://catalog.illinois.edu/search/?P=MATH%20412 "MATH 412") | Graph Theory |  |
| [MATH 413](https://catalog.illinois.edu/search/?P=MATH%20413 "MATH 413") | Intro to Combinatorics |  |
| [MATH 414](https://catalog.illinois.edu/search/?P=MATH%20414 "MATH 414") | Mathematical Logic |  |
| [MATH 482](https://catalog.illinois.edu/search/?P=MATH%20482 "MATH 482") | Linear Programming |  |
| Analysis | |  |
| [MATH 284](https://catalog.illinois.edu/search/?P=MATH%20284 "MATH 284") | Intro Differential Systems |  |
| [MATH 285](https://catalog.illinois.edu/search/?P=MATH%20285 "MATH 285") | Intro Differential Equations |  |
| [MATH 424](https://catalog.illinois.edu/search/?P=MATH%20424 "MATH 424") | Honors Real Analysis |  |
| [MATH 425](https://catalog.illinois.edu/search/?P=MATH%20425 "MATH 425") | Honors Advanced Analysis |  |
| [MATH 441](https://catalog.illinois.edu/search/?P=MATH%20441 "MATH 441") | Differential Equations |  |
| [MATH 442](https://catalog.illinois.edu/search/?P=MATH%20442 "MATH 442") | Intro Partial Diff Equations |  |
| [MATH 444](https://catalog.illinois.edu/search/?P=MATH%20444 "MATH 444") | Elementary Real Analysis |  |
| [MATH 446](https://catalog.illinois.edu/search/?P=MATH%20446 "MATH 446") | Applied Complex Variables |  |
| [MATH 447](https://catalog.illinois.edu/search/?P=MATH%20447 "MATH 447") | Real Variables |  |
| [MATH 448](https://catalog.illinois.edu/search/?P=MATH%20448 "MATH 448") | Complex Variables |  |
| [CS 450](https://catalog.illinois.edu/search/?P=CS%20450 "CS 450") | Numerical Analysis |  |
| [MATH 484](https://catalog.illinois.edu/search/?P=MATH%20484 "MATH 484") | Nonlinear Programming |  |
| [MATH 487](https://catalog.illinois.edu/search/?P=MATH%20487 "MATH 487") | Advanced Engineering Math |  |
| [MATH 489](https://catalog.illinois.edu/search/?P=MATH%20489 "MATH 489") | Dynamics & Differential Eqns |  |
| Fundamentals | |  |
| [MATH 314](https://catalog.illinois.edu/search/?P=MATH%20314 "MATH 314") | Introduction to Higher Mathematics |  |
| [MATH 347](https://catalog.illinois.edu/search/?P=MATH%20347 "MATH 347") | Fundamental Mathematics |  |
| Geometry | |  |
| [MATH 402](https://catalog.illinois.edu/search/?P=MATH%20402 "MATH 402") | Non Euclidean Geometry |  |
| [MATH 403](https://catalog.illinois.edu/search/?P=MATH%20403 "MATH 403") | Euclidean Geometry |  |
| [MATH 423](https://catalog.illinois.edu/search/?P=MATH%20423 "MATH 423") | Differential Geometry |  |
| [MATH 428](https://catalog.illinois.edu/search/?P=MATH%20428 "MATH 428") | Honors Topics in Mathematics |  |
| [MATH 432](https://catalog.illinois.edu/search/?P=MATH%20432 "MATH 432") | Set Theory and Topology |  |
| [MATH 481](https://catalog.illinois.edu/search/?P=MATH%20481 "MATH 481") | Vector and Tensor Analysis |  |
| Probability and Statistics | |  |
| [MATH 461](https://catalog.illinois.edu/search/?P=MATH%20461 "MATH 461") | Probability Theory |  |
| [STAT 400](https://catalog.illinois.edu/search/?P=STAT%20400 "STAT 400") | Statistics and Probability I |  |
| [STAT 410](https://catalog.illinois.edu/search/?P=STAT%20410 "STAT 410") | Statistics and Probability II (Students may use [STAT 410](https://catalog.illinois.edu/search/?P=STAT%20410 "STAT 410") or [STAT 420](https://catalog.illinois.edu/search/?P=STAT%20420 "STAT 420"), but not both toward the minor) |  |
| or [STAT 420](https://catalog.illinois.edu/search/?P=STAT%20420 "STAT 420") | Methods of Applied Statistics | |
| Total Hours | | 19 |

*for the Undergraduate Minor in Mathematics*

---

Upon successful completion of the Minor in Mathematics students will be able to:

1. Construct correct and rigorous mathematical proofs, and evaluate proofs as proper or not.
2. Use mathematical theorems to solve problems.
3. Show technical proficiency in calculus and linear algebra.
4. Transfer abstract mathematical results to real-world applications.

*for the Undergraduate Minor in Mathematics*

---

## [Department of Mathematics](https://www.math.illinois.edu/)

[Mathematics Faculty](https://math.illinois.edu/directory/faculty)\
[mathadvising@illinois.edu](mailto:mathadvising@illinois.edu)

## [College of Liberal Arts and Sciences](https://las.illinois.edu/)

overview of college admissions & requirements: [Liberal Arts & Sciences](https://catalog.illinois.edu/schools/las/academic-units/)