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* [[MAT2233]] Linear Algebra  
 
* [[MAT2233]] Linear Algebra  
  
===Math Minor===
+
===Minor in Mathematics===
A minor requires 12 credit hours in upper-division courses, and 24 credit in mathematics overall. The Minor in Mathematics requires the Calculus series plus the following options:
+
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]
*
 
  
 +
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===
 
===Data & Applied Science Core===
 
==== Lower Division ====
 
==== Lower Division ====
* [[MDC1213]] Foundations of Mathematics, Data Science, and Artificial Intelligence in Cultural Context
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* [[MDC1213]] Sociocultural Foundations of Mathematics, Data Science, and Computing
 
* [[MAT1213]] Calculus I (3 credit hours)
 
* [[MAT1213]] Calculus I (3 credit hours)
 
* [[MAT1223]] Calculus II (3 credit hours)
 
* [[MAT1223]] Calculus II (3 credit hours)
 
* [[MAT2213]] Calculus III (3 credit hours)
 
* [[MAT2213]] Calculus III (3 credit hours)
* [[MAT2243]] Applied Linear Algebra (3 credit hours)
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* [[MAT2253]] Applied Linear Algebra (3 credit hours)
  
 
==== Upper Division ====
 
==== Upper Division ====
 
* [[MAT4133]]/[[MAT5133]] Mathematical Biology
 
* [[MAT4133]]/[[MAT5133]] Mathematical Biology
 
* [[MAT4143]]/[[MAT5143]] Mathematical Physics
 
* [[MAT4143]]/[[MAT5143]] Mathematical Physics
* [[MAT4373]]/[[MAT5373]] Mathematical Statistics I (discrete & continuous PDFs)
+
* [[MAT4373]]/[[MAT5373]] Mathematical Foundations of Statistics I (discrete & continuous PDFs)
* [[MAT4383]]/[[MAT5383]] Mathematical Statistics II (statistical inference)
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* [[MAT4383]]/[[MAT5383]] Mathematical Foundations of Statistics II (statistical inference)
* [[MDC4413]]/[[MDC5153]] Data Analytics
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* [[MDC4153]]/[[MAT5153]] Mathematical Foundations of Data Analytics
  
 
===Math Major===
 
===Math Major===
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* [[MAT2313]] Combinatorics and Probability
 
* [[MAT2313]] Combinatorics and Probability
  
=== Upper Division ===
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==== Upper Division ====
 
* [[MAT3003]] Discrete Mathematics  
 
* [[MAT3003]] Discrete Mathematics  
* <del>MAT3013 Foundations of Mathematics </del> Replaced by [[MAT3003]] Discrete Mathematics
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* <del>[[MAT3013]] Foundations of Mathematics</del> Course transitioning to be replaced by [[MAT3003]] Discrete Mathematics (below).
* [[MAT3203]] Linear Algebra II
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* [[MAT3203]] Abstract Linear Algebra
* <del>MAT3213 Foundations of Analysis</del> Replaced by [[MAT3333]] Fundamentals of Analysis and Topology
+
* <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
 
* [[MAT3233]] Modern Algebra
 
* [[MAT3333]] Fundamentals of Analysis and Topology
 
* [[MAT3333]] Fundamentals of Analysis and Topology
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* [[MAT3633]] Numerical Analysis  
 
* [[MAT3633]] Numerical Analysis  
 
* [[MAT3223]] Complex Variables  
 
* [[MAT3223]] Complex Variables  
* [[MAT4033]] Linear Algebra II
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* [[MAT4033]] Abstract Linear Algebra II
 
* [[MAT4213]] Real Analysis I  
 
* [[MAT4213]] Real Analysis I  
 
* [[MAT4223]] Real Analysis II  
 
* [[MAT4223]] Real Analysis II  
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* [[MAT4273]] Topology
 
* [[MAT4273]] Topology
 
* [[MAT4283]] Computing for Mathematics
 
* [[MAT4283]] Computing for Mathematics
 +
* [[MAT4323]] Applied Graph Theory
 
* [[MAT4373]] Mathematical Statistics I
 
* [[MAT4373]] Mathematical Statistics I
  
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=== Core M.Sc. 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.  
 
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 and Algebra sequences in the following combinations:  
+
* Two courses in the Analysis & Algebra sequences in the following combinations:  
 
** [[MAT5173]] Algebra  I & [[MAT5183]] Algebra II.  
 
** [[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
 
** [[MAT5203]] Analysis I  & [[MAT5213]] Analysis II
** [[MAT5173]] Algebra &  [[MAT5203]] Analysis I.
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** [[MAT5173]] Algebra I &  [[MAT5203]] Analysis I.
* One course in discrete mathematics among the following two courses:
+
** [[MAT5173]] Algebra  I & [[MAT5123]] Cryptography I.
** [[MAT5283]] Linear Algebra (fall odd years)
+
** [[MAT5123]] Cryptography I &  [[MAT5323]] Cryptography II.
** [[MAT5423]] Discrete Mathematics I (fall even years)
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* Two course in discrete mathematics among the following:
* One course in statistics/data/numerical analysis among the following three options:
+
** [[MAT5423]] Discrete Mathematics I
** [[MAT4373]]/[[MAT5373]] Mathematical Statistics I (fall even years)
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** [[MAT5433]] Discrete Mathematics II
** Numerical Analysis
+
* One course in computation among the following:
** Data Analytics
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** [[MAT5373]] Mathematical Statistics I
* One course in...
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** [[MDC5153]] Data Analytics
 +
* [[MAT5283]] Linear Algebra
  
 
=== Qualifying Examination Tracks  ===
 
=== Qualifying Examination Tracks  ===
* [[MAT5183]] Algebra II (fall, even years) (Pure, Applied tracks)
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* [[MAT5183]] Algebra II (Pure, Applied tracks)
* [[MAT5123]] Cryptography (spring even years) (Pure, Applied tracks)
+
* [[MAT5123]] Cryptography (Pure, Applied tracks)
* [[MAT5323]] Cryptography II (spring odd years) (Pure, Applied tracks))
+
* [[MAT5323]] Cryptography II (Pure, Applied tracks))
* [[MAT5213]] Analysis II (spring even years)  (Pure track)
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* [[MAT5213]] Analysis II (Pure track)
* [[MAT5113]] Computing for Mathematics (spring even years)  (Pure, Applied tracks)
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* [[MAT5113]] Computing for Mathematics   (Pure, Applied tracks)
* [[MAT5433]] Discrete Mathematics II (spring odd years)  (Pure, Applied tracks)
+
* [[MAT5433]] Discrete Mathematics II   (Pure, Applied tracks)
* [[MAT4383]]/[[MAT5383]] Mathematical Statistics II (fall even years) (Applied tracks)
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* [[MAT5383]] Mathematical Statistics II  (Applied tracks)
  
 
=== M.Sc. Track in Pure Mathematics  ===
 
=== M.Sc. Track in Pure Mathematics  ===
* [[MAT4423/MAT5443]] Logic and Computability
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* [[MAT5443]] Logic and Computability
 
* [[MAT5243]] General Topology
 
* [[MAT5243]] General Topology
 
* [[MAT5253]] General Topology II
 
* [[MAT5253]] General Topology II
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=== M.Sc. Track in Applied & Industrial Mathematics ===
 
=== M.Sc. Track in Applied & Industrial Mathematics ===
* [[MDC4153]]/[[MDC5153]] Data Analytics
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* [[MDC5153]] Data Analytics
 
* [[AIM 5113]] Introduction to Industrial Mathematics
 
* [[AIM 5113]] Introduction to Industrial Mathematics
 
* [[MAT 5113]] Computing for Mathematics
 
* [[MAT 5113]] Computing for Mathematics

Revision as of 10:01, 16 May 2023

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

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

Math Major

Lower Division

  • MAT1313 Algebra and Number Systems
  • MAT2313 Combinatorics and Probability

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

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.

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

M.Sc. Track in Applied & Industrial Mathematics

M.Sc. in Mathematics Education