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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

Math Minor

A minor requires 6 credit hours in upper-division courses, and 18 credit in mathematics overall. 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)
• MAT2243 Applied Linear Algebra (3 credit hours)

Upper Division

• MAT4133/MAT5133 Mathematical Biology
• MAT4143/MAT5143 Mathematical Physics
• MAT4373/MAT5373 Mathematical Statistics I (discrete & continuous PDFs)
• MAT4383/MAT5383 Mathematical 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 Replaced by MAT3003 Discrete Mathematics
• MAT3203 Linear Algebra II
• MAT3213 Foundations of Analysis Replaced by 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 Linear Algebra II
• MAT4213 Real Analysis I
• MAT4223 Real Analysis II
• MAT4233 Modern Abstract Algebra
• MAT4273 Topology
• MAT4283 Computing for Mathematics
• 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 and 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 two courses:
  • MAT5283 Linear Algebra (fall odd years)
  • MAT5423 Discrete Mathematics I (fall even years)
  • MAT5433 Discrete Mathematics II (spring even years)
• One course in computation among the following three options:
  • MAT5373 Mathematical Statistics I (fall even years)
  • MDC5153 Data Analytics

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