# Undergraduate: The Programs

## Courses

Below is a list of our most popular courses. Complete course descriptions and additional courses can be found in the University Catalog. We offer several courses that carry the General Education GMT marker. Many lower level courses are offered in a variety of delivery methods

**Lecture**: Traditional lecture courses.**Lecture and Lab**: Enhanced versions of online classes. Students enrolled in Lecture and Lab courses are required to attend a 1 hour class meeting every week and to spend a minimum of 3 hours per week in the Math Emporium Lab working on online learning assignments.**Internet**: Completely on-line instruction. These courses are well-suited for independent learners that want the most flexibility in their schedule.

MAT 310, MAT 311, MAT 390, and MAT 395 are offered as contract Honors courses for students that wish to graduate with Disciplinary Honors.

Generally, 100 and 200 level courses are taken in the first two years, 300 level courses are taken in years 2 and 3, and 500 level courses are taken in the final year.

A grade of C or better is required for any prerequisite listed below.

**STA 108 Elementary Introduction to Probability and Statistics (GMT, 3:3) **[Pr. None]

A survey of statistics. Typically offered every semester.

Sample Syllabus

**MAT 112 Contemporary Topics in Mathematics (GMT, 3:3) **[Pr. None]

A course in practical mathematics. Not intended for students that plan to take additional math courses. Typically offered every semester.

Sample Syllabus

**MAT 115 College Algebra (GMT, 3:3) **[Pr. None]

A one-semester preparation for MAT 120 Calculus with Business Applications. Not intended for students that plan to take MAT 191 Calculus I. Typically offered every semester.

Sample syllabi: LEC, WLL, WEB

**MAT 120 Calculus with Business Applications (GMT, 3:3) **[Pr. MAT 115 or MPT]

A terminal course in Business Calculus. Not intended for students that plan to take any of the Calculus sequence (MAT 191, 292, 293, 394). Typically offered every semester.

Sample Syllabus

**MAT 150 Precalculus I (GMT, 3:3)** [Pr. None]

The first of a two semester preparation for MAT 191 Calculus I. Students with sufficient background in algebra/trigonometry should take the Math Placement Test before registering to ensure placement in the correct course. Typically offered every semester.

Sample syllabi: LEC, WLL, WEB

**MAT 151 Precalculus II (GMT, 3:3) **[Pr. MAT 115 or MAT 150]

The second of a two semester preparation for MAT 191 Calculus I. Typically offered every semester.

Sample syllabi: LEC

**MAT 190 Precalculus (GMT, 3:3:1) **[Pr. MPT]

A one semester preparation for MAT 191 Calculus I. Students with sufficient background in algebra/trigonometry must take the Math Placement Test to be eligible for this course. Typically offered every semester.

Sample Syllabus

**MAT 191 Calculus I (GMT, 3:3) **[Pr. MAT 151 or MAT 190 or MPT]

The first of a four semester sequence (MAT 191, 292, 293, 394) in Calculus. Typically offered every semester.

Sample Syllabus

**MAT 253 Discrete Mathematical Structures (3:3) **[Pr. MAT 151 or MAT 191]

A basic introduction to discrete mathematical structures and the programming language Python. A first course in rigor that should be completed in the first three semesters. Typically offered every semester.

Sample Syllabus

**STA 271 Fundamental Concepts of Statistics (ENV, 3:3) **[Pr. MAT 150 or STA 108]

Sample Syllabus

**STA 290 Introduction to Probability and Statistical Inference (3:3) **[Pr. MAT 292 or concurrent registration in MAT 292]

Typically offered every semester.

Sample Syllabus

**MAT 292 Calculus II (3:3) **[Pr. MAT 191]

The second of a four semester sequence (MAT 191, 292, 293, 394) in Calculus. Typically offered every semester.

Sample Syllabus

**MAT 293 Calculus III (3:3) **[Pr. MAT 292]

The third of a four semester sequence (MAT 191, 292, 293, 394) in Calculus. Typically offered every semester.

Sample Syllabus

**STA 301 Statistical Methods (ENV, WI, 3:3) **[Pr. STA 271 or STA 290]

Sample Syllabus

**MAT 310 Elementary Linear Algebra (3:3) **[Pr. MAT 292]

A first course in linear algebra. A proof-based course that should be completed in the first four semesters for a math major. Typically offered every semester.

Sample Syllabus

**MAT 311 Introduction to Abstract Algebra (WI, 3:3) **[Pr. MAT 253 and MAT 310]

The first of a two semester sequence in abstract algebra. This course satisfies the WI requirement in the major and should be completed at least one year before graduation. Typically offered only in the fall.

Sample Syllabus

**MAT 320 Introduction to Topology (3:3) **[Pr. MAT 293]

A first course in topology.

Sample Syllabus

**MAT 330 Axiomatic Foundations of Geometry (3:3) **[Pr. MAT 292]

A first course in axiomatic geometry.

Sample Syllabus

**MAT 345 Vector and Tensor Analysis (3:3) **[Pr. MAT 293 and MAT 390]

Under revision.

**MAT 349 Preparation for Industrial Careers in Mathematical Sciences (3:3) **[Pr. Permission of instructor.]

This course prepares mathematical sciences students for industrial careers by engaging them in research problems that come directly from industry.

Sample Syllabus

**STA 352 Statistical Inference (3:3) **[Pr. STA 290]

Offered each spring.

Sample Syllabus

**MAT 353 Introduction to Discrete Mathematics (3:3) **[Pr. MAT 253 or CSC 250]

A rigorous introduction to the subject of Graph Theory: its concepts, theorems, algorithms, and applications.

Sample Syllabus

**STA 382 Introduction to Sampling Methods (3:3) **[Pr. STA 301]

Sample Syllabus

**MAT 390 Ordinary Differential Equations (3:3) **[Pr. MAT 292]

A first course in differential equations.

Sample Syllabus

**MAT 394 Calculus IV (3:3) **[Pr. MAT 293]

The fourth of a four semester sequence (MAT 191, 292, 293, 394) in Calculus.

Sample Syllabus

**MAT 395 Introduction to Mathematical Analysis (3:3) **[Pr. MAT 253 and at least one of MAT 293 or MAT 310]

The first of a two semester sequence in real analysis. This course should be should be completed at least one year before graduation. Typically only offered in the spring.

Sample Syllabus

**MAT 405 Mathematics for Teaching and Teaching Mathematics I (3:3) **[Pr. MAT 310]

Capstone survey course.

Sample Syllabus

**MAT 406 Mathematics for Teaching and Teaching Mathematics II (4:3:3) **[Pr. MAT 405 and either MAT 311 or MAT 395]

Capstone survey course for students seeking high school licensure. Registration requires admission to student teaching. Course includes 50 hour internship.

Sample Syllabus

**MAT 465 Student Teaching and Seminar – Secondary Mathematics (12:2:30) **[Pr. TED 557]

2 hour weekly seminar and full-time student teaching. Offered in Spring only. No other courses may be taken during student teaching.

Sample Syllabus

**STA 481 Introduction to Design of Experiments (3:3) **[Pr. STA 301]

Sample Syllabus

**STA 482 Introduction to Time Series Models (3:3) **[Pr. STA 352]

Sample Syllabus

**MAT 490 Senior Seminar in Mathematics (SI, WI, 3:3) **[Pr. Senior standing math major]

One hour credit speaking intensive seminar that should be taken in the final year.

Sample Syllabus

**MAT 493 Honors Work (3-6) **[Pr. Honors program]

**MAT 514 Theory of Numbers (3:3) **[Pr. MAT 311 or MAT 395]

A first course in elementary number theory for advanced undergraduates.

Sample Syllabus

**MAT 515 Mathematical Logic (3:3) **[Pr. MAT 311 or MAT 353]

Formal languages, recursion, compactness, and effectiveness. First-order languages, truth, and models. Soundness and completeness theorems. Models of theories.

**MAT 516 Intermediate Abstract Algebra (3:3) **[Pr. MAT 311]

The second of a two semester sequence in abstract algebra.

Sample Syllabus

**MAT 519 Intuitive Concepts in Topology (3:3) **[Pr. MAT 311 or MAT 395]

A first course in topology for advanced undergraduates.

Sample Syllabus

**MAT 520 Non-Euclidean Geometry (3:3) **[Pr. MAT 311 or MAT 395]

A first course in non-Euclidean geometry for advanced undergraduates.

Sample Syllabus

**MAT 522 Introductory Functional Analysis (3:3) **[Pr. MAT 395]

A first course in functional analysis for advanced undergraduates.

Sample Syllabus

**MAT/CSC 523 Numerical Methods (3:3) **[Pr. MAT 293]

Number systems and errors, solutions of non-linear and linear systems, interpolation, numerical differentiation and integration, solution of differential equations. Implementation of numerical methods using a high-level programming language.

**MAT 525 Intermediate Mathematical Analysis (3:3) **[Pr. MAT 395]

The second of a two semester sequence in real analysis.

Sample Syllabus

**MAT 540 Introductory Complex Analysis (3:3) **[Pr. MAT 394]

A first course in complex analysis for advanced undergraduates.

Sample Syllabus

**MAT 545 Differential Equations and Orthogonal Systems (3:3) **[Pr. MAT 293 and MAT 390]

The second of a two semester sequence in differential equations.

Sample Syllabus

**STA 551 Introduction to Probability (3:3) **[Pr. STA 290 and MAT 293]

Offered each Fall.

Sample Syllabus

**STA 552 Introduction to Mathematical Statistics (3:3) **[Pr. STA 551]

Offered each Spring.

Sample Syllabus

**STA 562 Statistical Computing (3:3) **[STA 301 or STA 580]

Sample Syllabus

**STA 565 Analysis of Survival Data (3:3) **[Pr. STA 301 or STA 352]

Sample Syllabus

**STA 573 Theory of Linear Regression **[Pr. STA 352 and MAT 310, or STA 662]

Sample Syllabus

**STA 575 Nonparametric Statistics (3:3) **[Pr. STA 352 or STA 572 or STA 662]

Sample Syllabus

**STA 581 SAS System for Statistical Analysis (1:1) **[Pr. STA 271 or STA 290]

Sample Syllabus

**MAT 586 Financial Mathematics for Actuaries (3:3) **[Pr. MAT 394 or permission of instructor]

Measurement of interest, present and accumulated value, amortization, sinking funds, bonds, duration, immunization, and an introductory analysis of financial derivatives. Intended to help prepare for the FM/2 actuarial exam.

Sample Syllabus

**STA 591 Actuarial Exam Preparation Seminar (1:0) **[Pr. STA 551 or STA 687 or permission of instructor]

Topics vary according to interest and demand. Intended to help prepare for the P/1, FM/2, or MLC exam.

**MAT 591 Advanced Abstract Algebra (3:3) **[Pr. MAT 516]

The first of a two semester advanced sequence in abstract algebra. Typically run as a graduate course, and recommended only for those in the ADP program or that wish to pursue graduate studies in mathematics.

Sample Syllabus

**MAT 592 Advanced Abstract Algebra (3:3) **[Pr. MAT 516]

The second of a two semester advanced sequence in abstract algebra. Typically run as a graduate course, and recommended only for those in the ADP program or that wish to pursue graduate studies in mathematics.

Sample Syllabus

**MAT 593 Directed Study in Mathematics (1-3) **

**MAT 594 Directed Study in Mathematics (1-3) **

**MAT 595 Mathematical Analysis (3:3) **[Pr. MAT 395]

The first of a two semester advanced sequence in real analysis. Typically run as a graduate course, and recommended only for those in the ADP program or that wish to pursue graduate studies in mathematics.

Sample Syllabus

**MAT 596 Mathematical Analysis (3:3) **[Pr. MAT 395]

The second of a two semester advanced sequence in real analysis. Typically run as a graduate course, and recommended only for those in the ADP program or that wish to pursue graduate studies in mathematics.

Sample Syllabus