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UTSA Department of Mathematics

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Undergraduate Studies

STEM Core

• MAT1073 College Algebra for Scientists and Engineers
• MAT1093 Precalculus
• MAT1193 Calculus for Biosciences
• MAT1214 Calculus I (4 credit hours)
• MAT1224 Calculus II (4 credit hours)
• MAT2214 Calculus III (4 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 Foundations of Mathematics, Data Science, and Artificial Intelligence in Cultural Context
• 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

• MAT4133/MAT5133 Mathematical Biology
• MAT4143/MAT5143 Mathematical Physics
• MAT4373/MAT5373 Mathematical Foundations of Statistics I (discrete & continuous PDFs)
• MAT4383/MAT5383 Mathematical Foundations of Statistics II (statistical inference)
• MDC4153/MDC5153 Data Analytics

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

• MAT1053 Algebra for Business
• MAT1133 Calculus for 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

• MAT3233 Modern Algebra

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.

• Two courses in the Analysis & Algebra sequences in the following combinations:
  • 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
  • MAT5173 Algebra I & MAT5203 Analysis I.
  • MAT5173 Algebra I & MAT5123 Cryptography I.
  • MAT5123 Cryptography I & MAT5323 Cryptography II.
• Two course in discrete mathematics among the following:
  • MAT5423 Discrete Mathematics I (fall even years)
  • MAT5433 Discrete Mathematics II (spring even years)
• One course in computation among the following:
  • MAT5373 Mathematical Statistics I (fall even years)
  • MDC5153 Data Analytics
• MAT5283 Linear Algebra (fall odd years)

Qualifying Examination Tracks

• MAT5183 Algebra II (fall, even years) (Pure, Applied tracks)
• MAT5123 Cryptography (spring even years) (Pure, Applied tracks)
• MAT5323 Cryptography II (spring odd years) (Pure, Applied tracks))
• MAT5213 Analysis II (spring even years) (Pure track)
• MAT5113 Computing for Mathematics (spring even years) (Pure, Applied tracks)
• MAT5433 Discrete Mathematics II (spring odd years) (Pure, Applied tracks)
• MAT5383 Mathematical Statistics II (fall even years) (Applied tracks)

M.Sc. Track in Pure Mathematics

• MAT5443 Logic and Computability
• MAT5243 General Topology
• MAT5253 General Topology II
• MAT5323 Cryptography II
• MAT5183 Algebra II
• MAT5223 Theory of Functions of a Complex Variable
• MAT5343 Differential Geometry

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