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.
|
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.
|
|
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)
|
|
|
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)
|
|
