Graduate Classes

Regular graduate classes begin at the 6000 level. Courses at the 5000 level can be taken by permission.

This Web page provides only a compact summary of the course offerings, and some courses are not offered every year. For details of course content, textbooks, and instructor names for courses offered this academic year, visit the course extract from the Graduate Bulletin. Further descriptions can be found in the Mathematics section of the University of Utah General Catalog.

5000 Level Classes

Number Name and credit hours Prerequisite and/or remarks
5010 Introduction to Probability (3) MATH 2210 or 1260.
5030 Actuarial Mathematics (3) MATH 5010.
5040 Stochastic Processes and Simulation I (3) MATH 5010.
5050 Stochastic Processes and Simulation II (3) MATH 5040.
5080 Statistical Inference I (3) MATH 5010.
5090 Statistical Inference II (3) MATH 5080.
5110 Mathematical Biology I (3) MATH 2250 or 2280 or consent of instructor.
5120 Mathematical Biology II (3) MATH 5110.
5210 Introduction to Real Analysis (4) MATH 3220 and 4510.
5250 Matrix Analysis (3) MATH 2270.
5310 Introduction to Modern Algebra I (3) MATH 2250 or 2270.
5320 Introduction to Modern Algebra II (3) MATH 5310.
5410 Introduction to Ordinary Differential Equations (4) MATH 3220.
5420 Ordinary Differential Equations and Dynamical Systems (3) MATH 5410.
5440 Introduction to Partial Differential Equations (3) MATH 3220.
5470 Applied Dynamical Systems (3)
5520 Introduction to Algebraic/Geometric Topology (3) MATH 4510 or equivalent.
5600 Survey of Numerical Analysis (4) MATH 2210, either MATH 2250 or 2270 and computing experience.
5610 Introduction to Numerical Analysis I (4) MATH 2210, either MATH 2250 or 2270 and computing experience.
5620 Introduction to Numerical Analysis II (4) MATH 5610.
5650 Topics in Numerical Analysis (3) MATH 5600 or both 5610 and 5620.
5660 Parallel Numerical Methods (4) MATH 5600 or both 5610 and 5620.
5700 Capstone Course in Mathematics (3) Two of MATH 3100, 3210, 3320, 4030, or 4090.
5710 Introduction to Applied Mathematics I (3) MATH 2250 and 3150 and 3160.
5720 Introduction to Applied Mathematics II (3) MATH 5710.
5740 Mathematical Modeling (3) MATH 5600 or CP SC 5220.
5750 Topics in Applied Mathematics (3)
5760 Introduction to Mathematical Finance I (3) MATH 2280, 5010, 5040.
5765 Introduction to Mathematical Finance II (3) MATH 2280, 5010, 5040.
5900 Topics in Mathematics (1 to 4) Instructor's consent.
5900 Topics in Mathematics (1 to 4)
5910 Supervised Reading (1 to 6)
5950 Senior Seminar in Mathematics (3) Instructor's consent.
5960 Undergraduate Special Projects (4)
5969 Special Topics in Statistics (1 to 6) Cross listed as MGT 5969, ED PS 5969, FP MD 5969, ECON 5969, FCS 5969, PSYCH 5969, SOC 5969, STAT 5969.

6000 Level Classes

Number Name and credit hours Prerequisite and/or remarks
6010 Linear Models (3) MATH 5010 and 5080 and 5090 and 2270.
6020 Multilinear Models (3) MATH 6010.
6040 Mathematical Probability (3) MATH 6210.
6070 Mathematical Statistics (3) MATH 2270 and 5080.
6130 Introduction to Algebraic Geometry I (3) MATH 6310 and 6320.
6140 Introduction to Algebraic Geometry II (3) MATH 6130.
6150 Complex Manifolds (3) MATH 6220.
6170 Introduction to Riemannian Geometry (3) MATH 6520.
6210 Real Analysis (3) MATH 5210.
6220 Complex Analysis (3) MATH 4200 and 6210.
6240 Lie Groups/Lie Algebras I (3) MATH 6220.
6250 Lie Groups/Lie Algebras II (3) MATH 6240.
6310 Modern Algebra I (3) MATH 5320.
6320 Modern Algebra II (3) MATH 6310.
6330 Group Theory I (3) MATH 5320.
6340 Group Theory II (3) MATH 6330.
6350 Commutative Algebra (3) MATH 6320.
6410 Ordinary Differential Equations (3) MATH 5210.
6420 Partial Differential Equations (3) MATH 5210.
6430 Advanced Partial Differential Equations (3) MATH 6420.
6440 Advanced Dynamical Systems (3)
6510 Differentiable Manifolds (3) MATH 4510 and 5520.
6520 Introduction to Algebraic Topology (3) MATH 5520 and 6510.
6550 Algebraic Topology (3) MATH 6510 and 6520.
6570 Geometric Topology (3) MATH 6510 and 6520.
6610 Analysis of Numerical Methods I (3) MATH 5620.
6620 Analysis of Numerical Methods II (3) MATH 6610.
6630 Numerical Solutions of Partial Differential Equations (3) MATH 6610 and 6620 and 6420.
6710 Applied Linear Operator and Spectral Methods (3) MATH 5210 and 5410.
6720 Applied Complex Variables and Asymptotic Methods (3) MATH 5210 and 5410.
6730 Asymptotic and Perturbation Methods (3) MATH 6720.
6740 Bifurcation Theory (3) MATH 6210 and 6220.
6750 Continuum Mechanics: Fluids (3) MATH 5440 or 6420.
6760 Continuum Mechanics: Solids (3)
6770 Mathematical Biology I (3)
6780 Mathematical Biology II (3)
6790 Case Studies in Computational Engineering and Science (3) MATH 5740.
6795 Seminar in Computational Engineering and Science (1 to 5) MATH 6790.
6805 Introduction to Probability (3) MATH 2210
6810 Stochastic Processes and Simulation I (3)
6815 Stochastic Processes and Simulation II (3)
6830 Mathematical Biology I (3)
6835 Mathematical Biology I (3)
6840 Introduction to Ordinary Differential Equations I (4)
6845 Ordinary Differential Equations and Dynamical Systems (3)
6850 Introduction to Partial Differential Equations (3)
6855 Survey of Numerical Analysis (4)
6860 Introduction to Numerical Analysis I (4)
6865 Introduction to Numerical Analysis II (4)
6870 Mathematical Modeling (3)
6880 Topics in Applied Mathematics (3)
6890 Introduction to Mathematical Finance I (3) MATH 2280, 5010, 5040.
6895 Introduction to Mathematical Finance II (3) MATH 2280, 5010, 5040.
6910 Supervised Reading (1 to 6)
6960 Special Projects (1 to 6)
6970 Thesis Research: Master's (1 to 9)
6980 Faculty Consultation (3)

7000 Level Classes

Number Name and credit hours Prerequisite and/or remarks
7210 Representations of Lie Groups I (3) MATH 6210 and 6220.
7220 Representations of Lie Groups II (3) MATH 7210.
7240 Several Complex Variables I (3) MATH 6220.
7250 Several Complex Variables II (3) MATH 7240.
7270 Topological Vector Spaces and Distribution Theory (3) MATH 6210 and 6220.
7280 Operator Theory (3) MATH 6210 and 6220.
7710 Optimization (3)
7720 Asymptotic Methods (3)
7730 Nonlinear Oscillations (3)
7740 Nonlinear Waves (3)
7750 Mathematics of Fluids (3)
7760 Mathematics of Materials (3)
7770 Mathematical Modeling (3)
7800 Topics in Algebraic Geometry (3)
7805 Seminar in Algebraic Geometry (1 to 3)
7810 Topics in Riemannian Geometry (3)
7813 Topics in Complex Geometry (3)
7815 Seminar in Differential Geometry (1 to 3)
7820 Topics in Analysis (3)
7825 Seminar in Analysis (1 to 3)
7830 Topics in Commutative Algebra (3)
7833 Topics in Geometric Group Theory (3)
7835 Seminar in Number Theory (1 to 3)
7840 Topics in Differential Equations (3)
7845 Seminar in Differential Equations (1 to 3)
7850 Topics in Algebraic Topology (3)
7853 Topics in Geometric Topology (3)
7855 Seminar in Topology (1 to 3)
7860 Topics in Numerical Analysis (3)
7865 Seminar in Numerical Analysis (1 to 3)
7870 Topics in Applied Mathematics (3)
7875 Seminar in Applied Mathematics (1 to 3)
7880 Topics in Probability (3)
7883 Topics in Mathematical Statistics (3)
7885 Seminar in Probability and Statistics (1 to 3)
7890 Topics in Representation Theory (3)
7895 Seminar in Representation Theory (1 to 3)
7970 Thesis Research: Ph.D. (1 to 9)
7980 Faculty Consultation (3)
7990 Continuing Registration: Ph.D. (0)