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<strong>UTSA Department of Mathematics</strong>
 
<strong>UTSA Department of Mathematics</strong>
  
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* [[MAT1023]] College Algebra
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To edit tables in each course below, you can use [https://tableconvert.com/mediawiki-to-excel MediaWiki-to-Excel converter] and/or the [https://tableconvert.com/excel-to-mediawiki Excel-to-MediaWiki converter]
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* [[MAT1043]]  
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* [[MAT1053]] Algebra for Business
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== Undergraduate Studies ==
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* [[MAT1073]] College Algebra for Scientists and Engineers
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===STEM Core===
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* [[MAT1093]] Precalculus
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* [[MAT1073]] College Algebra for Scientists and Engineers
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* [[MAT1133]]  
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* [[MAT1093]] Precalculus
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* [[MAT1214]] Calculus I
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* [[MAT1193]] Calculus for Biosciences
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* [[MAT1224]] Calculus II
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* [[MAT1214]] Calculus I (4 credit hours)
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* [[MAT2233]] Linear Algebra
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* [[MAT1213]] Calculus I (3 credit hours)
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* [[MAT1224]] Calculus II (4 credit hours)
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* [[MAT1223]] Calculus II (3 credit hours)
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* [[MAT2214]] Calculus III (4 credit hours)
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* [[MAT2213]] Calculus III (3 credit hours)
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* [[MAT2233]] Linear Algebra
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===Minor in Mathematics===
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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 [https://catalog.utsa.edu/undergraduate/bachelorsdegreeregulations/minors/  UTSA's Undergraduate Catalog]
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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
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===Data & Applied Science Core===
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==== Lower Division ====
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* [[MDC1213]] Sociocultural Foundations of Mathematics, Data Science, and Computing
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* [[MAT2253]] Applied Linear Algebra (3 credit hours)
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==== Upper Division ====
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* [[MAT4133]]/[[MAT5133]] Mathematical Biology
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* [[MAT4813]]/[[MAT5863]] Mathematical Physics 1
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* [[MAT4JME]]/[[MAT5JME]] Mathematical Physics 2
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* [[MAT4XYX]]/[[MAT5XYX]] Introduction to Quantum Information Science and Engineering
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* [[MAT4373]]/[[MAT5373]] Mathematical Foundations of Statistics I (discrete & continuous PDFs)
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* [[MAT4383]]/[[MAT5383]] Mathematical Foundations of Statistics II (statistical inference)
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* [[MDC4153]]/[[MDC5153]] Mathematical Foundations of Data Analytics
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===Math Major===
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==== Lower Division ====
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* [[MAT1313]] Algebra and Number Systems
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* [[MAT2313]] Combinatorics and Probability
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==== Upper Division ====
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* [[MAT3003]] Discrete Mathematics
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* <del>[[MAT3013]] Foundations of Mathematics</del> Course transitioning to be replaced by [[MAT3003]] Discrete Mathematics (below).
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* <del>[[MAT3213]] Foundations of Analysis</del> Course transitioning to be replaced by [[MAT3333]] Fundamentals of Analysis and Topology (below).
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* [[MAT3333]] Fundamentals of Analysis and Topology
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* [[MAT3233]] Modern Algebra
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* [[MAT3333]] Fundamentals of Analysis and Topology
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* [[MAT3313]] Logic and Computability
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* [[MAT3613]] Differential Equations I
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* [[MAT3623]] Differential Equations II
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* [[MAT3633]] Numerical Analysis
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* [[MAT3223]] Complex Variables
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* [[MAT4033]] Linear Algebra II
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* [[MAT4213]] Real Analysis I
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* [[MAT4223]] Real Analysis II
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* [[MAT4233]] Modern Abstract Algebra
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* [[MAT4273]] Topology
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* [[MAT4283]] Computing for Mathematics
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* [[MAT4323]] Applied Graph Theory
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* [[MAT4373]] Mathematical Statistics I
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* [[MAT43XX]]/[[MAT53XX]] Mathematics of Quantum Computing
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* [[MAT4YYY]]/[[MAT5YYY]] Mathematics of AI
 +
 
 +
===Business===
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* [[MAT1053]] Algebra for Business  
 +
* [[MAT1133]] Calculus for Business
 +
 
 +
===Math for Liberal Arts===
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* [[MAT1043]] Introduction to Mathematics
 +
 
 +
=== Elementary Education ===
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* [[MAT1023]] College Algebra  
 +
* [[MAT1153]] Essential Elements in Mathematics I
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* [[MAT1163]] Essential Elements in Mathematics II
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 +
=== General Math Studies===
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* [[MAT3233]] Modern Algebra
 +
 
 +
== Graduate Studies ==
 +
=== Core Courses ===
 +
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.
 +
 
 +
* [[MAT5283]] Linear Algebra
 +
* [[MAT5203]] Real Analysis I
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* [[MAT 5173]] Abstract Algebra I
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* [[MAT5603]] Differential Equations I
 +
 
 +
Choose one of the following two:
 +
 
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* [[MAT5123]] Introduction to Cryptography
 +
* [[MAT5603]] Numerical Analysis
 +
 
 +
=== Qualifying Exam Tracks ===
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 +
Complete two qualifying tracks: A track is considered completed by taking at least two of the courses in the track. At least one of your
 +
qualifying tracks needs to complete a sequence begun in the core courses; that is, one of your tracks you must complete one of the
 +
following pairs of courses: Differential Equations I & II, or Algebra I & II, or Theory of Fun. of a Real Variable I & II, or Discrete Mathematics I & II.
 +
 
 +
=== Qualifying Exam Track: Algebra-Cryptography  ===
 +
 
 +
* [[MAT 5173]] Abstract Algebra I
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* [[MAT 5183]] Abstract Algebra II
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* [[MAT 5123]] Introduction to Cryptography
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* [[MAT 5143]] Cryptography II (Post-Quantum Cryptography)
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=== Qualifying Track: Mathematics of Information, Data and Communications  ===
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* [[MAT5123]] Introduction to Cryptography
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* [[MAT5143]] Cryptography II
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* [[MAT5433]] Discrete Mathematics II (Graph Theory)
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* [[MAT5153]] Data Analytics
 +
* [[MAT5XYX]] Quantum Information Science and Engineering
 +
* [[MAT5YYY]] Mathematics of AI
 +
 
 +
=== Qualifying Exam Track: Scientific Computing ===
 +
 
 +
* [[MAT5603]] Numerical Analysis
 +
* [[MAT5293]] Numerical Linear Algebra  
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* [[MAT5XYX]] Quantum Information Science and Engineering
 +
* [[MAT5163]] Probability and Computing
 +
 
 +
=== Qualifying Exam Track: Analysis ===
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* [[MAT5203]] Real Analysis I
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* [[MAT5213]] Real Analysis II
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* [[MAT5223]] Complex Analysis I
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* [[MAT5233]] Complex Analysis II
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* [[MAT5553]] Harmonic Analysis
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* [[MAT5553]] Functional Analysis
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 +
=== Qualifying Exam Track: Differential Equations ===
 +
 
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* [[MAT5653]] Differential Equations I
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* [[MAT5673]] Partial Differential Equations I
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* [[MAT5683]] Partial Differential Equations II
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 +
=== Qualifying Exam Track: Discrete Mathematics and Logic ===
 +
 
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* [[MAT5423]] Discrete Mathematics
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* [[MAT5433]] Discrete Mathematics II (Graph Theory)
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* [[MAT5443]] Logic and Computability
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* [[MAT5453]] Quantum Logic
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 +
=== Qualifying Exam Track: Topology and Geometry ===
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* [[MAT5243]] Topology I
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* [[MAT5253]] Topology II
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* Differential Geometry
 +
 
 +
=== Qualifying Exam Track: Mathematical Physics  ===
 +
 
 +
* [[MAT5863]] Mathematical Physics I
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* [[MAT5JME]] Mathematical Physics II*
 +
* [[MAT5XYX]] Quantum Information Science and Engineering*
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* Differential Geometry*
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* [[MAT5453]] Quantum Logic
 +
 
 +
=== Qualifying Exam Track: Mathematics of Life Sciences  ===
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* [[MAT5133]] Mathematical Biology
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* [[MAT5323]] Mathematical Modeling (Systems Biology)

Latest revision as of 14:23, 24 September 2025

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)
  • MAT1213 Calculus I (3 credit hours)
  • MAT1224 Calculus II (4 credit hours)
  • MAT1223 Calculus II (3 credit hours)
  • MAT2214 Calculus III (4 credit hours)
  • MAT2213 Calculus III (3 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
  • MAT2253 Applied Linear Algebra (3 credit hours)

Upper Division

Math Major

Lower Division

  • MAT1313 Algebra and Number Systems
  • MAT2313 Combinatorics and Probability

Upper Division

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

Graduate Studies

Core Courses

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.

Choose one of the following two:

Qualifying Exam Tracks

Complete two qualifying tracks: A track is considered completed by taking at least two of the courses in the track. At least one of your qualifying tracks needs to complete a sequence begun in the core courses; that is, one of your tracks you must complete one of the following pairs of courses: Differential Equations I & II, or Algebra I & II, or Theory of Fun. of a Real Variable I & II, or Discrete Mathematics I & II.

Qualifying Exam Track: Algebra-Cryptography

Qualifying Track: Mathematics of Information, Data and Communications

Qualifying Exam Track: Scientific Computing

  • MAT5603 Numerical Analysis
  • MAT5293 Numerical Linear Algebra
  • MAT5XYX Quantum Information Science and Engineering
  • MAT5163 Probability and Computing

Qualifying Exam Track: Analysis

Qualifying Exam Track: Differential Equations

  • MAT5653 Differential Equations I
  • MAT5673 Partial Differential Equations I
  • MAT5683 Partial Differential Equations II

Qualifying Exam Track: Discrete Mathematics and Logic

Qualifying Exam Track: Topology and Geometry

Qualifying Exam Track: Mathematical Physics

  • MAT5863 Mathematical Physics I
  • MAT5JME Mathematical Physics II*
  • MAT5XYX Quantum Information Science and Engineering*
  • Differential Geometry*
  • MAT5453 Quantum Logic

Qualifying Exam Track: Mathematics of Life Sciences

  • MAT5133 Mathematical Biology
  • MAT5323 Mathematical Modeling (Systems Biology)
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