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The department regularly offers courses in Algebra, Combinatorics, Analysis, Applied Mathematics, Probability, and Computational Mathematics. These courses are typically offered once per year.

​​Course Number​Course Name​Fall/Spring​Prerequisite(s)
​600Fundamentals of Real Analysis​F​
602​​Measure, Integration, and Complex Variables​S​600​
​611​Introduction to Numerical​ Discretization​S
​612​Computational Methods for Equation Solving and Function Min​F
​616​Modeling in Applied Mathematics​F
​617​Techniques in Applied Mathematics​S
​620​Introduction to Mathematical Finance
​S
​630​Probability Theory Applications​F
​631​Introduction to Stochastic Processes​S
​637​Mathematical Techniques in Data Science
​S
​650​Algebra I​S​672
​672​Vector Spaces​F
​688​Combinatorics and Graph Theory I​F
​806​Functional Analysis​F​602
​810​Asymptotic and Perturbation MethodsS​​617
​817​Introduction to Numerical Methods for Partial Differential Equations​F​611, 612
​829​Topics in Mathematics​S
​835​Evolutionary Partial Differential Equations​F​617
​836​Elliptic Partial Differential Equations​S​806
​838​Finite Element and Boundary Element Methods​S​806
845​​Algebra IIF​​650
​850​Theory of Probability​F​631
​888​Combinatorics II​S672, 688​


Additional information for the above courses can be found by inputting the course title here: Current Sections and Course Descriptions.

As you plan your course schedules, keep in mind your interests, the requirements of the preliminary exams, and the timing and dependencies of the courses. You may also count two graduate courses from outside the department towards your requirements. 

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Special Topics Courses

Each spring the department offers two sections of Math 829, Topics in Mathematics. The sections vary from year to year, and aim to broaden the areas of study offered to students. They are often closely related to a faculty member's research area. You can enroll in 829 for credit multiple times.

Here is a list of the most recently offered topics courses:

Spring 2019. Boolean functions and their applications (Robert Coulter) and Introduction to wavelet analysis (Mahya Ghandehari)

Spring 2018. Algebraic topology (Chad Giusti) and Hyperbolic conservation laws and numerical methods (Jingmei Qiu)

Spring 2017. Nonlinear water waves (Philippe Guyenne) and Information theory (Mokshay Madiman)

Spring 2016Introduction to data mining and analysis (Dominique Guillot) and Linear and semidefinite programming in combinatorial optimization (Sebastian Cioaba).

Spring 2015Distributions and Fourier Transforms (Rakesh) and Hot topics in Finite Fields and their applications (Robert Coulter).

Spring 2014Introduction to Mathematical Finance (David Edwards) and Gaussian Random Processes (Werner Linde).

Spring 2013Ill-posed problems and regularization techniques (Yvonne Ou) and Harmonic analysis and geometric combinatorics (Steven Senger).

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Other Sources of Credit

Faculty may also offer Reading courses (MATH 870), which need to be approved by the graduate committee. Research credit (MATH 868) is available for students who are already working on a research project with their adviser. Consult the blue book for restrictions on the number of non-course credits you are allowed to take towards your degree.

Once you are finished with your 48 credit requirements and have passed the candidacy exam, you can register in Pre-candidacy study (MATH 964) to fulfill the 9 credit per semester requirement while you apply for candidacy status. 

Finally, 9 credits of Doctoral dissertation (MATH 969) are required to graduate. Once this requirement is fulfilled, the student is moved to sustaining status. More details are given in the blue b​ook.

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