Department of Mathematics at UTSA math_wiki https://mathresearch.utsa.edu/wiki/index.php?title=Main_Page MediaWiki 1.34.1 first-letter Media Special Talk User User talk Department of Mathematics at UTSA Department of Mathematics at UTSA talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk Module Module talk Gadget Gadget talk Gadget definition Gadget definition talk 0 1 5446 5441 2026-03-24T22:58:52Z Jose.iovino 26 /* Graduate Studies */ wikitext text/x-wiki <strong>UTSA Department of Mathematics</strong> 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] == 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 [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=== ==== Lower Division ==== * [[MDC1213]] Sociocultural Foundations of Mathematics, Data Science, and Computing * [[MAT2253]] Applied Linear Algebra (3 credit hours) ==== Upper Division ==== * [[MAT4133]]/[[MAT5133]] Mathematical Biology * [[MAT4813]]/[[MAT5863]] Mathematical Physics 1 * [[MAT4JME]]/[[MAT5JME]] Mathematical Physics 2 * [[MAT4XYX]]/[[MAT5XYX]] 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=== ==== Lower Division ==== * [[MAT1313]] Algebra and Number Systems * [[MAT2313]] Combinatorics and Probability ==== 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 * [[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 * [[MAT4323]] Applied Graph Theory * [[MAT4373]] Mathematical Statistics I * [[MAT43XX]]/[[MAT53XX]] Mathematics of Quantum Computing * [[MAT4YYY]]/[[MAT5YYY]] Mathematics of AI ===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 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. * [[MAT5283]] Linear Algebra * [[MAT5203]] Real Analysis I * [[MAT 5173]] Algebra I * [[MAT5603]] Differential Equations I Choose one of the following two: * [[MAT5123]] Introduction to Cryptography * [[MAT5603]] Numerical Analysis === Qualifying Exam Tracks === Complete two qualifying tracks: A track is considered completed by taking at least two of the courses in the track. At least one of your qualifying tracks needs to complete a sequence begun in the core courses; that is, one of your tracks you must complete one of the following pairs of courses: Differential Equations I & II, or Algebra I & II, or Theory of Fun. of a Real Variable I & II, or Discrete Mathematics I & II. === Qualifying Exam Track: Algebra-Cryptography === * [[MAT 5173]] Algebra I * [[MAT 5183]] 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 * [[MAT5XYX]] Quantum Information Science and Engineering * [[MAT5YYY]] Mathematics of AI === Qualifying Exam Track: Scientific Computing === * [[MAT5603]] Numerical Analysis * [[MAT5293]] Numerical Linear Algebra * [[MAT5XYX]] Quantum Information Science and Engineering * [[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 === * [[MAT5863]] Mathematical Physics I * [[MAT5JME]] Mathematical Physics II* * [[MAT5XYX]] Quantum Information Science and Engineering* * Differential Geometry* * [[MAT5453]] Quantum Logic === Qualifying Exam Track: Mathematics of Life Sciences === * [[MAT5133]] Mathematical Biology * [[MAT5323]] Mathematical Modeling (Systems Biology) axjz0uw1c3o4xb9lvzh4bgqz3w62tdt