# Main Page

**UTSA Department of Mathematics**

To edit tables in each course below, you can use MediaWiki-to-Excel converter and/or the Excel-to-MediaWiki converter

## Undergraduate Studies

### STEM Core

- MAT1073 College Algebra for Scientists and Engineers
- MAT1093 Precalculus
- MAT1193 Calculus for Biosciences
- MAT1214 Calculus I (4 credit hours)
- MAT1224 Calculus II (4 credit hours)
- MAT2214 Calculus III (4 credit hours)
- MAT2233 Linear Algebra

### Minor in Mathematics

To receive a minor, students must complete at least 18 semester credit hours, including 6 hours at the upper-division level at UTSA, and must achieve a grade point average of at least 2.0 (on a 4.0 scale) on all work used to satisfy the requirements of a minor. See UTSA's Undergraduate Catalog

The Minor in Mathematics requires the Calculus series plus linear algebra, and upper division courses in either the Math Major or the Data & Applied Science Core

### Data & Applied Science Core

#### Lower Division

- MDC1213 Sociocultural Foundations of Mathematics, Data Science, and Computing
- MAT1213 Calculus I (3 credit hours)
- MAT1223 Calculus II (3 credit hours)
- MAT2213 Calculus III (3 credit hours)
- MAT2253 Applied Linear Algebra (3 credit hours)

#### Upper Division

- MAT4133/MAT5133 Mathematical Biology
- MAT4143/MAT5143 Mathematical Physics
- MAT4373/MAT5373 Mathematical Foundations of Statistics I (discrete & continuous PDFs)
- MAT4383/MAT5383 Mathematical Foundations of Statistics II (statistical inference)
- MDC4153/MDC5153 Mathematical Foundations of Data Analytics

### Math Major

#### Lower Division

#### Upper Division

- MAT3003 Discrete Mathematics
~~MAT3013 Foundations of Mathematics~~Course transitioning to be replaced by MAT3003 Discrete Mathematics (below).- MAT3203 Abstract Linear Algebra
~~MAT3213 Foundations of Analysis~~Course transitioning to be replaced by MAT3333 Fundamentals of Analysis and Topology (below).- MAT3333 Fundamentals of Analysis and Topology
- MAT3233 Modern Algebra
- MAT3333 Fundamentals of Analysis and Topology
- MAT3313 Logic and Computability
- MAT3613 Differential Equations I
- MAT3623 Differential Equations II
- MAT3633 Numerical Analysis
- MAT3223 Complex Variables
- MAT4033 Abstract Linear Algebra II
- MAT4213 Real Analysis I
- MAT4223 Real Analysis II
- MAT4233 Modern Abstract Algebra
- MAT4273 Topology
- MAT4283 Computing for Mathematics
- MAT4323 Applied Graph Theory
- MAT4373 Mathematical Statistics I

### Business

### Math for Liberal Arts

- MAT1043 Introduction to Mathematics

### Elementary Education

- MAT1023 College Algebra
- MAT1153 Essential Elements in Mathematics I
- MAT1163 Essential Elements in Mathematics II

### General Math Studies

- MAT3233 Modern Algebra

## Graduate Studies

### Core M.Sc. Studies

Core courses, common across all M.Sc. tracks, must be at least 50% of the credit 30 hours needed to obtain a M.Sc. degree. The following courses add up to 15 credit hours.

- Two courses in the Analysis & Algebra sequences in the following combinations:
- MAT5173 Algebra I & MAT5183 Algebra II.
- MAT5173 Algebra I & MAT5243 General Topology I.
- MAT5243 General Topology I & MAT5253 General Topology II.
- MAT5203 Analysis I & MAT5213 Analysis II
- MAT5173 Algebra I & MAT5203 Analysis I.
- MAT5173 Algebra I & MAT5123 Cryptography I.
- MAT5123 Cryptography I & MAT5323 Cryptography II.

- Two course in discrete mathematics among the following:
- One course in computation among the following:
- MAT5283 Linear Algebra

### Qualifying Examination Tracks

- MAT5183 Algebra II (Pure, Applied tracks)
- MAT5123 Cryptography (Pure, Applied tracks)
- MAT5323 Cryptography II (Pure, Applied tracks))
- MAT5213 Analysis II (Pure track)
- MAT5113 Computing for Mathematics (Pure, Applied tracks)
- MAT5433 Discrete Mathematics II (Pure, Applied tracks)
- MAT5383 Mathematical Statistics II (Applied tracks)

### M.Sc. Track in Pure Mathematics

- MAT5443 Logic and Computability
- MAT5243 General Topology
- MAT5253 General Topology II
- MAT5323 Cryptography II
- MAT5183 Algebra II
- MAT5223 Theory of Functions of a Complex Variable
- MAT5343 Differential Geometry

### M.Sc. Track in Applied & Industrial Mathematics

- MDC5153 Data Analytics
- AIM 5113 Introduction to Industrial Mathematics
- MAT 5113 Computing for Mathematics
- MAT 5653 Differential Equations I
- MAT 5673 Partial Differential Equations