MATHMING - Mathematics

12

Each student must present a coherent collection of courses in which the work outside of Mathematics is related to part of the studies in Mathematics. There are many such possibilities, including: algebra, and computer science or discrete methods in operations research; probability, and statistics or reliability/quality control; numerical mathematics, and computer science or computational science; mathematical foundations and history, and education; analysis, and physics or optics; etc.

Students must earn a “B” or higher in all coursework, or receive instructor approval that indicates the student's performance in their course merits a PhD minor. If a student does not receive a “B” or higher, and the instructor does not feel the student’s performance merits a PhD minor, the student may appeal the decision. The appeals process is outlined below.

Appeals Procedure

If a student wishes to appeal any of the requirements mentioned above, the appeal should be made in writing to the Director of Graduate Studies. The appeal will be reviewed by the Graduate Committee and requires a majority vote to succeed. The Committee may place additional requirements/deadlines on the student as a prerequisite for continuing in the program.

Students who wish to appeal the decision of the Graduate Committee must submit an appeal in writing to Head of the Mathematics Department, who will make a decision in consultation with other faculty, as appropriate.

Math 511A: Algebra (3 units)

Math 511B: Algebra (3 units)

Math 523A: Real Analysis (3 units)

Math 523B: Real Analysis (3 units)

Math 534A: Topology-Geometry (3 units)

Math 534B: Topology-Geometry (3 units)

Math 500A: Research on the Learning of Mathematics for Teachers (3 units)

Math 501A: Symbolic Logic (3 units)

Math 501B: Symbolic Logic (3 units)

Math 504: History of Mathematics (3 units)

Math 509C: Statistics for Research (3 units)

Math 513: Linear Algebra (3 units)

Math 514A: Algebraic Number Theory (3 units)

Math 514B: Algebraic Number Theory (3 units)

Math 516: Commutative Algebra (3 units)

Math 517A: Group Theory (3 units)

Math 517B: Group Theory (3 units)

Math 518: Topics in Algebra ((3 units), may be repeated)

Math 519: Topics in Number Theory and Combinatorics (3 units), may be repeated)

Math 520A: Complex Analysis (3 units)

Math 520B: Complex Analysis (3 units)

Math 527A: Principles of Analysis (3 units)

Math 527B: Principles of Analysis (3 units)

Math 528A: Banach and Hilbert Spaces (3 units)

Math 528B: Banach and Hilbert Spaces (3 units)

Math 529: Topics in Modern Analysis ((3 units), may be repeated)

Math 532: Topological Spaces (3 units)

Math 536A: Algebraic Geometry (3 units)

Math 536B: Algebraic Geometry (3 units)

Math 537A: Global Differential Geometry (3 units)

Math 537B: Global Differential Geometry (3 units)

Math 538: Topics in Geometry and Topology ((3 units), may be repeated)

Math 539: Algebraic Coding Theory (3 units)

Math 541: Introduction to Mathematical Physics (3 units)

Math 553A: Partial Differential Equations (3 units)

Math 553B: Partial Differential Equations (3 units)

Math 554: Ordinary Differential Equations (3 units)

Math 556: Applied Partial Differential Equations (3 units)

Math 557A: Dynamical Systems and Chaos (3 units)

Math 557B: Dynamical Systems and Chaos (3 units)

Math 559A: Lie Groups and Lie Algebras (3 units)

Math 559B: Lie Groups and Lie Algebras (3 units)

Math 563: Probability Math (3 units)

Math 564: Theory of Probability (3 units)

Math 565A: Stochastic Processes (3 units)

Math 565B: Stochastic Processes (3 units)

Math 565C: Stochastic Differential Equations (3 units)

Math 566: Theory of Statistics (3 units)

Math 567A: Theoretical Statistics I (3 units)

Math 567B: Theoretical Statistics II (3 units)

Math 568: Applied Stochastic Processes (3 units)

Math 571A: Advanced Statistical Regression Analysis (3 units)

Math 571B: Design of Experiments (3 units)

Math 573: Theory of Computation (3 units)

Math 574E: Environmental Statistics (3 units)

Math 574G: Introduction to Geostatistics (3 units)

Math 574M: Statistical Machine Learning (3 units)

Math 574T: Time Series Analysis (3 units)

Math 575A: Numerical Analysis (3 units)

Math 575B: Numerical Analysis (3 units)

Math 576A: Numerical Analysis PDE (3 units)

Math 576B: Numerical Analysis PDE (3 units)

Math 577: Topics in Applied Mathematics ((3 units), may be repeated)

Math 580: Mathematical Models in Biology (3 units)

Math 582: Applied Complex Analysis (3 units)

Math 583A: Principles and Methods of Applied Mathematics (3 units)

Math 583B: Principles and Methods of Applied Mathematics (3 units)

Math 585: Mathematical Modeling (3 units)

Math 586: Case Studies in Applied Mathematics (3 units)

Math 587: Perturbation Methods in Applied Mathematics (3 units)

Math 588: Topics in Mathematical Physics ((3 units), may be repeated)

Math 595A: Math Instruction (3 units)

Math 595C: Research in Applied Mathematics (3 units)

Math 595D: Research in Mathematics Education (3 units)

Math 596A: Topics in Mathematics (3 units)

Math 596B: Mathematics Mentoring Methods (3 units)

Math 599: Independent Study (1-6 units)

Math 636: Information Theory (3 units)

Math 697B: Applied Mathematics Laboratory (3 units)

Math 699: Independent Study (3 units)

Some co-convened courses may be suitable as part of the PhD minor, but as a general rule the PhD minor advisor will not approve a plan of study that includes more than 6 units of co-convened courses. 

It is highly recommended that students consult with their PhD minor advisor about the suitability of their course work for the minor and for their careers before beginning their coursework.

Please refer to the Graduate Student Handbook for students who are pursuing this program of study.