The course requirements expected to be completed by the end of a student's second year of study in ACM include 9 credit hours of electives. These can be courses from the Mandatory Class List in addition to the three selected for the Mandatory Course Requirement or other relevant courses in the Department of Mathematics. Elective courses outside the Department of Mathematics are allowed but must be approved by the Director of ACM.
Students are encouraged to discuss selection of elective courses to be taken in their second year of ACM study with potential advisors, the ACM Director and instructors of particular courses as part of their planning for their Ph.D. Candidacy Examination and choosing their areas of dissertation research.
Additionally, ACM students are encouraged to take courses throughout their graduate study to support their particular research interersts and to broaden their knowledge of mathematics and related areas. Also, given the broad nature of the areas of interest for ACM students, courses associated with the Biomathematics and Financial Mathematics Programs as well as other departments, e.g., Statistics, Scientific Computing, and Computer Science may also be of interest and the courses offered in those departments should be consulted each semester.
Note that in addition to regular courses many advanced topics are taught intermittently as special topics courses, e.g., MAD 5932 Topics in Computational Mathematics, MAP 5932 Topics in Applied Mathematics, MAD 6408 Advanced Topics in Numerical Analysis, MAP 6437 Advanced Topics in Applied Mathematics, and seminars such as MAD 6939 Advanced Seminar in Scientific Computing. Each of these may have several sections per semester and groups of students are encouraged to make requests for such courses on topics in which they are interested.
Some Suggested Elective Courses for ACM Students
- MAA 5616 Measure and Integration I
- MAA 5617 Measure and Integration II
- MAA 5406 Complex Variables I
- MAA 5407 Complex Variables II
- MAA 5XXX Functional Analysis
- MAP 5107 Mathematical Modeling
- MAP 5207 Optimization
- MAP 5431 Introduction to Fluid Dynamics
- MAP 5513 Wave Propagation Theory
- MAP 5615 Monte Carlo Methods in Financial Math
- MAP 5XXX Stochastic Analysis
- MAP 5932 Stochastic Differential Equations
- MAP 6416 Topics in Stochastic Calculus
- MAD 5305 Graph Theory
- MAD 5306 Graph Theory and Networks
- MAD 5427 Numerical Optimal Control of Partial Differential Equations
- MAD 5745 Spectral Methods for Partial Differential Equation
- MAD 5757 High Order Finite Difference Methods for Computational Acoustics and Fluid Dynamics
- MAD 5XXX Principles and Foundations of Machine Learning (New)
- MTG 5356 Topological Data Analysis
- STA 5106 Computational Methods in Statistics I
- STA 5107 Computational Methods in Statistics II
- STA 5635 Applied Machine Learning
- STA 6468 Advanced Topics in Probability and Statistics
- Shape and Functional Data Analysis
- ISC 5305 Scientific Programming
- ISC 5307 Scientific Visualization
- ISC 5308 Computational Aspects of Data Assimilation
