Difference between revisions of "Main Page"

From Department of Mathematics at UTSA
Jump to navigation Jump to search
 
(169 intermediate revisions by 5 users not shown)
Line 3: Line 3:
 
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]  
 
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]  
  
==STEM Core==
+
== Undergraduate Studies ==
 +
===STEM Core===
 
* [[MAT1073]] College Algebra for Scientists and Engineers  
 
* [[MAT1073]] College Algebra for Scientists and Engineers  
 
* [[MAT1093]] Precalculus  
 
* [[MAT1093]] Precalculus  
 
* [[MAT1193]] Calculus for Biosciences  
 
* [[MAT1193]] Calculus for Biosciences  
 
* [[MAT1214]] Calculus I (4 credit hours)
 
* [[MAT1214]] Calculus I (4 credit hours)
 +
* [[MAT1213]] Calculus I (3 credit hours)
 
* [[MAT1224]] Calculus II (4 credit hours)  
 
* [[MAT1224]] Calculus II (4 credit hours)  
 +
* [[MAT1223]] Calculus II (3 credit hours)
 
* [[MAT2214]] Calculus III (4 credit hours)  
 
* [[MAT2214]] Calculus III (4 credit hours)  
 +
* [[MAT2213]] Calculus III (3 credit hours)
 
* [[MAT2233]] Linear Algebra  
 
* [[MAT2233]] Linear Algebra  
  
==Data & Applied Science Core==
+
===Minor in Mathematics===
* [[MDC1213]] AI in the Modern World
+
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]
* [[MAT1213]] Calculus I (3 credit hours)
+
 
* [[MAT1223]] Calculus II (3 credit hours)
+
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
* [[MAT2213]] Calculus III (3 credit hours)
+
 
* [[MAT2243]] Applied Linear Algebra (3 credit hours)
+
===Data & Applied Science Core===
* [[MATxxxx]] Mathematical Biology
+
==== Lower Division ====
* [[MATxxxx]] Mathematical Physics
+
* [[MDC1213]] Sociocultural Foundations of Mathematics, Data Science, and Computing
* [[MATxxxx]] Mathematical Statistics I (discrete & continuous PDFs)
+
* [[MAT2253]] Applied Linear Algebra (3 credit hours)
* [[MATxxxx]] Mathematical Statistics II (statistical inference)
+
 
* [[MDC4413]] Data Analytics
+
==== Upper Division ====
 +
* [[MAT4133]]/[[MAT5133]] Mathematical Biology
 +
* [[MAT4813]]/[[MAT5163]] Mathematical Physics 1
 +
* [[MAT4XXX]]/[[MAT5XXX]] Mathematical Physics 2
 +
* [[MAT4XXX]]/[[MAT5XXX]] Introduction to Quantum Information Science and Engineering
 +
* [[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==
+
===Math Major===
 +
==== Lower Division ====
 
* [[MAT1313]] Algebra and Number Systems  
 
* [[MAT1313]] Algebra and Number Systems  
* [[MAT2313]] Combinatorics and Probability  
+
* [[MAT2313]] Combinatorics and Probability
* [[MAT3013]] Foundations of Mathematics  
+
 
* [[MAT3213]] Foundations of Analysis  
+
==== Upper Division ====
 +
* [[MAT3003]] Discrete Mathematics
 +
* <del>[[MAT3013]] Foundations of Mathematics</del> Course transitioning to be replaced by [[MAT3003]] Discrete Mathematics (below).
 +
* <del>[[MAT3213]] Foundations of Analysis</del> 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  
 
* [[MAT3613]] Differential Equations I  
 
* [[MAT3623]] Differential Equations II  
 
* [[MAT3623]] Differential Equations II  
 
* [[MAT3633]] Numerical Analysis  
 
* [[MAT3633]] Numerical Analysis  
 
* [[MAT3223]] Complex Variables  
 
* [[MAT3223]] Complex Variables  
 +
* [[MAT4033]] Linear Algebra II
 
* [[MAT4213]] Real Analysis I  
 
* [[MAT4213]] Real Analysis I  
 
* [[MAT4223]] Real Analysis II  
 
* [[MAT4223]] Real Analysis II  
* [[MAT4233]] Modern Abstract Algebra  
+
* [[MAT4233]] Modern Abstract Algebra
 
* [[MAT4273]] Topology
 
* [[MAT4273]] Topology
 +
* [[MAT4283]] Computing for Mathematics
 +
* [[MAT4323]] Applied Graph Theory
 +
* [[MAT4373]] Mathematical Statistics I
 +
* [[MAT43XX]]/[[MAT53XX]] Mathematics of Quantum Computing
 +
* [[MAT4YYY]]/[[MAT5YYY]] Mathematics of AI
  
==Business==
+
===Business===
 
* [[MAT1053]] Algebra for Business  
 
* [[MAT1053]] Algebra for Business  
 
* [[MAT1133]] Calculus for Business  
 
* [[MAT1133]] Calculus for Business  
  
==Math for Liberal Arts==
+
===Math for Liberal Arts===
 
* [[MAT1043]] Introduction to Mathematics  
 
* [[MAT1043]] Introduction to Mathematics  
  
== Elementary Education ==
+
=== Elementary Education ===
 
* [[MAT1023]] College Algebra  
 
* [[MAT1023]] College Algebra  
 
* [[MAT1153]] Essential Elements in Mathematics I  
 
* [[MAT1153]] Essential Elements in Mathematics I  
 
* [[MAT1163]] Essential Elements in Mathematics II  
 
* [[MAT1163]] Essential Elements in Mathematics II  
  
== General Math Studies==
+
=== General Math Studies===
 
* [[MAT3233]] Modern Algebra
 
* [[MAT3233]] Modern Algebra
  
== Core M.Sc. Studies ==
+
== Graduate Studies ==
* [[MATxxx]] Algebra (fall odd years)
+
=== Core Courses ===
* [[MATxxx]] Analysis I (fall odd years)
+
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 (fall odd years)
+
 
* [[MAT5001]] Discrete Mathematics I (fall even years)  
+
* [[MAT5283]] Linear Algebra
* [[MATxxx]] Mathematical Statistics I (fall even years)
+
* [[MAT5203]] Real Analysis I
 +
* [[MAT5603]] Numerical Analysis
 +
* [[MAT5603]] Differential Equations I
 +
 
 +
 
 +
=== Qualifying Exam Track: Algebra-Cryptography  ===
 +
 
 +
* [[MAT 5173]] Abstract Algebra I
 +
* [[MAT 5183]] Abstract Algebra II
 +
* [[MAT 5123]] Introduction to Cryptography
 +
* [[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 ===
 +
 
 +
* [[MAT5203]] Real Analysis I
 +
* [[MAT5213]] Real Analysis II
 +
* [[MAT5223]] Complex Analysis I
 +
* [[MAT5233]] Complex Analysis II
 +
* [[MAT5553]] Harmonic Analysis
 +
* [[MAT5553]] Functional 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 ===
 +
 
 +
* [[MAT5423]] Discrete Mathematics
 +
* [[MAT5433]] Discrete Mathematics II (Graph Theory)
 +
* [[MAT5443]] Logic and Computability
 +
* [[MAT5453]] Quantum Logic
 +
 
 +
=== Qualifying Exam Track: Topology and Geometry ===
 +
 
 +
* [[MAT5243]] Topology I
 +
* [[MAT5253]] Topology II
 +
* Differential Geometry
 +
 
 +
=== Qualifying Exam Track: Mathematical Physics ===
  
== Qualifying Examination Tracks  ==
+
* [MAT5863]] Mathematical Physics I
* [[MAT4353]] Cryptography (spring even years) (Pure, Applied Tracks)
+
* Mathematical Physics II*
* [[MATxxx]] Analysis II (spring even years)  (Pure Track)
+
* Quantum Information*
* [[MATxxx]] Computational Mathematics (spring even years)  (Pure, Applied Tracks)
+
* Differential Geometry*
* [[MAT4002]] Discrete Mathematics II (spring odd years)  (Pure, Applied Tracks)
+
* [[MAT5453]] Quantum Logic
* [[MATxxx]] Mathematics Statistics II  (fall even years)  (Applied Tracks)
 
  
== M.Sc. Track in Pure Mathematics  ==
+
=== Qualifying Exam Track: Mathematics of Life Sciences ===
  
== M.Sc. Track in Applied & Industrial Mathematics ==
+
* [[MAT5133]] Mathematical Biology
  
== M.Sc. Track in College Mathematics Education ==
+
Plus one of the following three courses:
  
== M.Sc. Track in K-12 Mathematics Education ==
+
* [[MAT5323]] Mathematical Modeling
 +
* Systems Biology*
 +
* 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*.