Applied Math and Statistics
Description
AM&S students are required to pass an introductory exam before the third semester of study. This exam tests mathematical proficiency at an undergraduate level in real analysis, linear algebra, probability, and discrete math/optimization. It is offered at the beginning of each semester. Dissertation research should not begin before success in passing the introductory exam.
Qualification for advance research is measured by a Ph.D candidacy oral exam which covers in-depth knowledge in the student proposed research area. The scope of the exam is determined by a syllabus prepared by the student and approved by the committee. It must be taken before beginning the sixth semester. It is followed by the Graduate Board Oral Exam, which addresses the dissertation subject on the basis of a written proposal prepared by the student.
The normal course load of an AM&S student of nine lecture hours during the first three years, unless dissertation research has begun in which case the load is reduced to six lecture hours, upon agreement of the advisor. Starting from the fourth year, the course load is three hours per semester. Two thirds of the program should be composed with applied math or math basic courses (400 or 600 level). Other courses must be either specialized in the dissertation area, or elective, in an area independent of the student research. Selective courses must at least cover two semesters.
Sample Program
Year 1
Fall
- 110.405 Analysis I
- 520.414 Image Processing and Analysis
- 550.493 Mathematical Image Analysis
- 550.620 Probability Theory (may be replaced by 550.420)
Spring
- 550.630 Statistics (may be replaced by 550.430)
- 550.435 Bioinformatics and Statistical Genomics
- 110.439 Introduction to Differential Geometry
Year 2
Fall
- 550.413 Applied Statistics and Data Analysis
- 550.681 Numerical analysis
- 550.437 Statistics, Information and Vision
Spring
- 550.692 Matrix Analysis
- 110.427 Introduction to the calculus of variations
- 550.621 Probability theory II
Year 3
Fall
- 550.790 Deformation Analysis
- 550.661 Foundation of Optimization
- 508.636 Signaling Pathways
Spring
- 550.426 Stochastic Processes
- 550.672 Graph theory
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