| MATH 15000 | Mathematics for the Contemporary World | 3 | Required Core - Mathematical&QuantitativeReasoning | - | 3 Lecture Hours | Undergraduate |
| MATH 17300 | Introduction to Probability and Statistics | 4 | Required Core - Mathematical&QuantitativeReasoning | - | 4 Lecture Hours | Undergraduate |
| MATH 18000 | Quantitative Reasoning | 3 | Required Core - Mathematical&QuantitativeReasoning | - | 4 Lecture Hours | Undergraduate |
| MATH 18500 | Basic Ideas in Mathematics | 3 | Required Core - Mathematical&QuantitativeReasoning | - | 4 Lecture Hours | Undergraduate |
| MATH 19000 | College Algebra and Trigonometry | 3 | Required Core - Mathematical&QuantitativeReasoning | - | 4 Lecture Hours | Undergraduate |
| MATH 19001 | College Algebra and Trigonometry Preview Workshop | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 19002 | Sum-Wint Exam Prep Math | - | - | - | 3 Lecture Hours | Undergraduate |
| MATH 19003 | Bridge to College Algebra | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 19005 | Sum-Wint Bridge to College Algerba & Trigonometry | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 19500 | Precalculus | 3 | Required Core - Mathematical&QuantitativeReasoning | MEBI - ME_BIOL_5 (Pre-Calculus), UTBI - UT_BIOL_5 (Pre-Calculus) | 4 Lecture Hours | Undergraduate |
| MATH 19501 | Precalculus Preview Workshop | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 19502 | Sum-Wint Exam Prep Math | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 19505 | Sum or Wint Bridge to Pre-Calculus | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 20100 | Calculus I | 4 | Required Core - Mathematical&QuantitativeReasoning | UTCO - UT_COSC_3 (Calc I or Analytic Geo/Calc-I), UTEG - UT_EGIN_1 (Calculus I), UTMA - UT_MATH_1 (Calculus I) | 4 Lecture Hours | Undergraduate |
| MATH 20101 | Calculus 1 Preview Workshop | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 20105 | Summer or Winter Bridge to Calculus | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 20201 | Calculus 2 Preview Workshop | - | - | - | 3 Lecture Hours | Undergraduate |
| MATH 20500 | Elements of Calculus | 4 | Required Core - Mathematical&QuantitativeReasoning | - | 4 Lecture Hours | Undergraduate |
| MATH 20501 | Elements of Calculus Preview Workshop | - | - | - | 2 Lecture Hours | Undergraduate |
| MATH 20900 | Elements of Calculus and Statistics | 4 | Required Core - Mathematical&QuantitativeReasoning | - | 4 Lecture Hours | Undergraduate |
| MATH 21200 | Calculus II with Introduction to Multivariable Functions | 4 | Required Core - Mathematical&QuantitativeReasoning | UTCO - UT_COSC_4 (Calc-II or AnalyticGeo/Calc-II), UTEG - UT_EGIN_2 (Calculus II), UTMA - UT_MATH_2 (Calculus II) | 3 Lecture Hours | Undergraduate |
| MATH 21201 | Bridge to Math 21200 | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 21300 | Calculus III with Vector Analysis | 4 | Required Core - Mathematical&QuantitativeReasoning | UTEG - UT_EGIN_3 (Calculus III), UTMA - UT_MATH_3 (Calculus III) | 4 Lecture Hours | Undergraduate |
| MATH 30100 | Honors I | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 30200 | Honors II | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 30300 | Honors III | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 30400 | Honors IV | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 30800 | Bridge to Advanced Mathematics | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 31001 | Independent Study | 1 | - | - | 1 Lecture Hours | Undergraduate |
| MATH 31002 | Independent Study | 2 | - | - | 2 Lecture Hours | Undergraduate |
| MATH 31003 | Independent Study | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 31004 | Independent Study | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 31100 | Selected Topics in Mathematics | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 32300 | Advanced Calculus I | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 32404 | Advanced Calculus II | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 32800 | Methods of Numerical Analysis | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 34200 | History of Mathematics | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 34500 | Theory of Numbers | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 34600 | Elements of Linear Algebra | 3 | - | UTMA - UT_MATH_4 (Linear Algebra) | 3 Lecture Hours | Undergraduate |
| MATH 34700 | Elements of Modern Algebra | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 36000 | Introduction to Modern Geometry | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 36500 | Elements of Combinatorics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 36600 | Introduction to Applied Mathematical Computation | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 37500 | Elements of Probability Theory | 4 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 37600 | Mathematical Statistics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 37700 | Applied Statistics and Probability | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 38100 | Financial Mathematics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 38200 | Continuous Time Models in Financial Mathematics | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 39000 | Vector Analysis | 2 | - | - | 2 Lecture Hours | Undergraduate |
| MATH 39100 | Methods of Differential Equations | 3 | - | UTEG - UT_EGIN_4 (Differential Equations), UTMA - UT_MATH_5 (Differential Equations) | 3 Lecture Hours | Undergraduate |
| MATH 39104 | Methods of Differential Equations | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 39200 | Linear Algebra and Vector Analysis for Engineers | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 39300 | Laplace and Fourier Transforms for Scientists and Engineers | 3 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 39500 | Complex Variables for Scientists and Engineers | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 41100 | Topics in Pure Mathematics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 41103 | Topics in Pure Mathematics | 3 | - | - | 0 Lecture Hours | Undergraduate |
| MATH 41200 | Topics in Applied Mathematics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 41300 | Topics in Probability and Statistics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 43200 | Theory of Functions of a Complex Variable | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 43400 | Theory of Functions of a Real Variable | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 43500 | Partial Differential Equations, Integral Equations, Boundary Value Problems | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 44300 | Set Theory | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 44400 | Mathematical Logic | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 44500 | Dynamical Systems | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 44600 | Linear Algebra | 4 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 44900 | Introduction to Modern Algebra | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 46100 | Differential Geometry | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 46300 | Topology | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 46400 | Number Theory | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 46700 | Mathematical Modeling | 3 | - | - | 3 Lecture Hours | Undergraduate |
| MATH 46800 | Combinatorial Analysis | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 47700 | Stochastic Processes | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 47800 | Advanced Mathematical Statistics | 4 | - | - | 4 Lecture Hours | Undergraduate |
| MATH 71000 | Basic Arithmetic & Algebra | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 71010 | Basic Elementary Algebra | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 80000 | Fundamental Algebra & Geometry | - | - | - | 0 Lecture Hours | Undergraduate |
| MATH 80005 | Summer or Winter Bridge to Fundamental Algebra & Geometry | - | - | - | 0 Lecture Hours | Undergraduate |