Difference between revisions of "Main Page"

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* [[MAT5283]] Linear Algebra
 
* [[MAT5283]] Linear Algebra
* [[MAT 5253]] Real Variable I
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* [[MAT5253]] Real Analysis I
* [[MAT 5603]] Numerical Analysis
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* [[MAT5603]] Numerical Analysis
* [[MAT 5603]] 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:  
 
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:  
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* [[MAT 5123)]] Introduction to Cryptography
 
* [[MAT 5123)]] Introduction to Cryptography
* [[MAT 5323]] Cryptography II (MAT 5323)*,  
+
* [[MAT 5323]] Cryptography II*,  
 
* [[MAT 5433]] Graph Theory*, Data Analytics Mathematic of AI*,   
 
* [[MAT 5433]] Graph Theory*, Data Analytics Mathematic of AI*,   
 
* [[MAT 5153]] Data Analytics
 
* [[MAT 5153]] Data Analytics
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* [[MAT58XX]] Mathematics of Quantum Computation (Pure, applied tracks)
 
* [[MAT58XX]] Mathematics of Quantum Computation (Pure, applied tracks)
  
=== M.Sc. Track in Pure Mathematics  ===
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=== Qualifying Track: Analysis ===
* [[MAT5443]] Logic and Computability
+
 
* [[MAT5453]] Quantum Logic
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* [[MAT5203]] Real Analysis I
* [[MAT5243]] General Topology
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* [[MAT5213] Real Analysis II
* [[MAT5253]] General Topology II
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* [[MAT5223]] Complex Analysis I
* [[MAT5323]] Cryptography II
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* [[MAT5233]]Complex Analysis II
* [[MAT5183]] Algebra II
+
* [[MAT5553]] Harmonic Analysis
* [[MAT5223]] Theory of Functions of a Complex Variable
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* [[MAT5553]] Functional Analysis.
* [[MAT5343]] Differential Geometry
+
 
 +
=== Qualifying Track: Algebra-Cryptography ===
 +
 
 +
* [[MAT 5173]] Abstract Algebra I
 +
* [[MAT 5183]] Abstract Algebra II
 +
* [[MAT 5123]] Introduction to Cryptography
 +
* [[MAT 5YYY]] Cryptography II*
 +
 
 +
 
  
=== 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
 
  
 
=== M.Sc. in Mathematics Education ===
 
=== M.Sc. in Mathematics Education ===

Revision as of 14:49, 17 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.

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 Track: Mathematical Biology

One of the following:

  • MAT 5323 Mathematical Modeling
  • Optimal Control and Calculus of Variations*.

Qualifying Track: Mathematics of Information, Data and Communications

Qualifying Track: Mathematics of Information, Data and Communications

  • 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)
  • MAT58XX Mathematics of Quantum Computation (Pure, applied tracks)

Qualifying Track: Analysis

Qualifying Track: Algebra-Cryptography



M.Sc. in Mathematics Education