Difference between revisions of "Main Page"

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==== Upper Division ====
 
==== Upper Division ====
 
* [[MAT4133]]/[[MAT5133]] Mathematical Biology
 
* [[MAT4133]]/[[MAT5133]] Mathematical Biology
−
* [[MAT4143]]/[[MAT5143]] Mathematical Physics 1
+
* [[MAT4813]]/[[MAT5163]] Mathematical Physics 1
 
* [[MAT4XXX]]/[[MAT5XXX]] Mathematical Physics 2
 
* [[MAT4XXX]]/[[MAT5XXX]] Mathematical Physics 2
 
* [[MAT4XXX]]/[[MAT5XXX]] Introduction to Quantum Information Science and Engineering
 
* [[MAT4XXX]]/[[MAT5XXX]] Introduction to Quantum Information Science and Engineering
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* [[MAT4373]] Mathematical Statistics I
 
* [[MAT4373]] Mathematical Statistics I
 
* [[MAT43XX]]/[[MAT53XX]] Mathematics of Quantum Computing
 
* [[MAT43XX]]/[[MAT53XX]] Mathematics of Quantum Computing
 +
* [[MAT4YYY]]/[[MAT5YYY]] Mathematics of AI
  
 
===Business===
 
===Business===
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* [[MAT5283]] Linear Algebra
 
* [[MAT5283]] Linear Algebra
−
* [[MAT5253]] Real Analysis I
+
* [[MAT5203]] Real Analysis I
 
* [[MAT5603]] Numerical Analysis
 
* [[MAT5603]] Numerical Analysis
 
* [[MAT5603]] Differential Equations I
 
* [[MAT5603]] Differential Equations I
  
−
During completion of the required coursework, students must choose three distinct specialization tracks. For each of the three chosen tracks, the doctoral candidate must pass a qualifying examination that covers a two-semester course sequence approved for the given track. Courses with a numbered sequence I and II must be taken consecutively, and courses without a number can be taken in any order. Each track can be satisfied with any pair of these courses, unless otherwise noted.  Each track has a list of courses from which the two-semester course sequence for the examination must be chosen. Below is a list of approved qualifying tracks with their respective lists of courses:
 
  
 
=== Qualifying Exam Track: Algebra-Cryptography  ===
 
=== Qualifying Exam Track: Algebra-Cryptography  ===
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* [[MAT 5183]] Abstract Algebra II
 
* [[MAT 5183]] Abstract Algebra II
 
* [[MAT 5123]] Introduction to Cryptography
 
* [[MAT 5123]] Introduction to Cryptography
−
* [[MAT 5YYY]] Cryptography II*
+
* [[MAT 5143]] Cryptography II (Post-Quantum Cryptography)
 +
 
 +
=== Qualifying Track: Mathematics of Information, Data and Communications  ===
 +
 
 +
* [[MAT5123]] Introduction to Cryptography
 +
* [[MAT5143]] Cryptography II
 +
* [[MAT5433]] Discrete Mathematics II (Graph Theory)
 +
* [[MAT5153]] Data Analytics
 +
* [[MAT5XXX]] Quantum Information
 +
* [[MAT5ZZZ]] Mathematics of AI
 +
 
 +
=== Qualifying Exam Track: Scientific Computing ===
 +
 
 +
* [[MAT5603]] Numerical Analysis
 +
* [[MAT5293]] Numerical Linear Algebra
 +
* [[MAT5XXX]] Quantum Information
 +
* [[MAT5163]] Probability and Computing
  
 
=== Qualifying Exam Track: Analysis ===
 
=== Qualifying Exam Track: Analysis ===
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* [[MAT5233]] Complex Analysis II
 
* [[MAT5233]] Complex Analysis II
 
* [[MAT5553]] Harmonic Analysis
 
* [[MAT5553]] Harmonic Analysis
−
* [[MAT5553]] Functional Analysis.
+
* [[MAT5553]] Functional Analysis
−
 
 
−
=== Qualifying Track: Mathematics of Information, Data and Communications  ===
 
−
 
 
−
* [[MAT5123]] Introduction to Cryptography
 
−
* [[MAT5323]] Cryptography II*
 
−
* [[MAT5433]] Graph Theory*
 
−
* [[MAT5153]] Data Analytics
 
−
* [[MAT5XXX]] Quantum Information
 
−
* [[MAT5ZZZ]] Mathematics of AI
 
  
 
=== Qualifying Exam Track: Differential Equations ===
 
=== Qualifying Exam Track: Differential Equations ===
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* [[MAT5673]] Partial Differential Equations I
 
* [[MAT5673]] Partial Differential Equations I
 
* [[MAT5683]] Partial Differential Equations II
 
* [[MAT5683]] Partial Differential Equations II
−
 
−
=== Qualifying Exam Track: Scientific Computing ===
 
−
 
−
* [[MAT5603]] Numerical Analysis
 
−
* [[MAT5293]] Numerical Linear Algebra
 
−
* [[MAT5613]] Numerical Solutions of Differential Equations
 
−
* [[MAT5163]] Probability and Computing
 
  
 
=== Qualifying Exam Track: Discrete Mathematics and Logic ===
 
=== Qualifying Exam Track: Discrete Mathematics and Logic ===
  
 
* [[MAT5423]] Discrete Mathematics
 
* [[MAT5423]] Discrete Mathematics
−
* [[MAT5433]] Graph Theory*
+
* [[MAT5433]] Discrete Mathematics II (Graph Theory)
 
* [[MAT5443]] Logic and Computability
 
* [[MAT5443]] Logic and Computability
−
* [[MAT5453]] Quantum Logic  
+
* [[MAT5453]] Quantum Logic
  
−
=== Qualifying Exam Track: Topology-Geometry ===
+
=== Qualifying Exam Track: Topology and Geometry ===
  
 
* [[MAT5243]] Topology I  
 
* [[MAT5243]] Topology I  
 
* [[MAT5253]] Topology II
 
* [[MAT5253]] Topology II
−
* [[MAT5253]] Differential Geometry
+
* Differential Geometry
 +
 
 +
=== Qualifying Exam Track: Mathematical Physics  ===
 +
 
 +
* [MAT5863]] Mathematical Physics I
 +
* Mathematical Physics II*
 +
* Quantum Information*
 +
* Differential Geometry*
 +
* [[MAT5453]] Quantum Logic
  
−
=== Qualifying Exam Track: Mathematical Biology ===
+
=== Qualifying Exam Track: Mathematics of Life Sciences ===
  
 
* [[MAT5133]] Mathematical Biology
 
* [[MAT5133]] Mathematical Biology
  
−
Plus one of the following two courses:  
+
Plus one of the following three courses:  
  
 
* [[MAT5323]] Mathematical Modeling  
 
* [[MAT5323]] Mathematical Modeling  
 +
* Systems Biology*
 
* Optimal Control and Calculus of Variations*.
 
* Optimal Control and Calculus of Variations*.

Latest revision as of 11:59, 21 August 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.


Qualifying Exam Track: Algebra-Cryptography

Qualifying Track: Mathematics of Information, Data and Communications

Qualifying Exam Track: Scientific 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
  • Mathematical Physics II*
  • Quantum Information*
  • Differential Geometry*
  • MAT5453 Quantum Logic

Qualifying Exam Track: Mathematics of Life Sciences

Plus one of the following three courses:

  • MAT5323 Mathematical Modeling
  • Systems Biology*
  • Optimal Control and Calculus of Variations*.
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