Requirements for the M.S. Degree
The M.S. degree in the Department of Applied Mathematics and Statistics requires the satisfactory completion of a minimum of 30 graduate credits, excluding research, teaching and internship courses (AMS 599, 698, 699, 700, and 701). The average for all courses taken must be B or higher, and at least 18 credits of all courses taken must carry a grade of B or higher.
Students pursue a program of study planned in consultation with an academic advisor. The department has four graduate tracks. Each student must choose one of the four tracks. Each track has a set of 7 or 8 required courses which form the bulk of M.S. studentsÕ program of study. Students have considerable freedom in selecting elective courses in each track. See discussion of elective courses below for details.
Unless stated otherwise, all required courses carry 3-credits. NOTE: Some first year PhD students may be required to take an ESL course.
Course Requirements for the Computational Applied Mathematics Track
For more information about the interdisciplinary Computaitonal Biology program, please see CompBio Website.
AMS 501 Differential Equations and Boundary Value Problems I
AMS 503 Applications of Complex Analysis
AMS 510 Analytical Methods for Applied Mathematics and Statistics
AMS 526 Numerical Analysis I
AMS 527 Numerical Analysis II
AMS 528 Numerical Analysis III
AMS 595 Fundamentals of Computing (1 credit)
Typical Course Sequence for Computational Applied Mathematics Track
First Semester: AMS 501, 510, 526, 595 (1 credit)
Second Semester: AMS 503, 527, 528, one elective
Third Semester: AMS 528, two electives
Course Requirements for the Computational Biology Track
Fundamentals of Applied Math
AMS 507 Introduction to Probability
AMS 510 Analytical Methods for Applied Mathematics and Statistics
AMS 530 Principles in Parallel Computing (3 credits)
Fundamentals of Biology
MCB 520/CHE 541 Graduate Biochemistry (an alternate graduate level cell or developmental biology course may be substituted with permission)
Methods of Computational Biology
AMS 532 Journal Club/Lab Rotations in Computational Biology (2 semesters, 0 credit each semester)
AMS 533 Numerical Methods and Algorithms in Computational Biology
AMS 535 Introduction to Computational Structural Biology and Drug Design
CSE 549 Computational Biology
Typical Course Sequence for Computational Biology Track
First Semester: AMS 510, 532 (1 cr), 535, 595 (1 cr), 599 (1cr), CSE 549
Second Semester: AMS 530, 532, 533, 536, elective
Third Semester: AMS 507, CHE 541, elective
Course Requirements for the Operations Research and Quantitative Finance Track
IMPORTANT
**Effective Fall 2012 New QF Track Requirements in Effect - New Students to Include Fall Admits Must Follow New Requirements Listed Below**
AMS 507 Introduction to Probability
AMS 510 Analytical Methods for Applied Mathematics and Statistics
AMS 512 Capital Markets and Portfolio Theory (for QF students) or AMS 540 Linear Programming (for OR students)
AMS 550 Stochastic Models
AMS 553/CSE 529 Simulation and Modeling
AMS 595 Fundamentals of Computing (1 credit)
A course in statistics (courses numbered AMS 572-586)
There are two sets of electives. Students must choose their four electives from one of these two sets:
Quantitative Finance Electives:
AMS 511 Foundations of Quantitative Finance
AMS 513 Financial Derivatives and Stochastic
AMS 514 Computational Finance
AMS 515 Case Studies in Quantitative Finance
AMS 516 Statistical Methods in Finance
AMS 517 Risk Management
One AMS graduate course (unrestricted)
Typical Course Sequence for Quantitative Finance Subtrack
First Semester: AMS 507, 510, 511, 595 (1cr), 599 (2cr)
Second Semester: AMS 550, 512, 517, statistics elective
Third Semester: AMS 513, (514 or 515 or 516), 553
Operations Research Electives:
AMS 545 Computational Geometry
AMS 546 Network Flows
AMS 547 Discrete Mathematics
AMS 556 Dynamic Programming
One additional statistics elective (AMS 570-586)
One elective from quantitative finance (AMS 511-516)
Typical Course Sequence for Operations Research Track
First Semester: AMS 507, 510, 540, 595 (1cr), 599 (2cr)
Second Semester: AMS 550, 545, statistics course, OR elective or 599
Third Semester: AMS 546, 553, (511 or 516 or 546 or 556)
NEW Course Requirements for the Quantitative Finance Track
**Effective Fall 2012, the below QF track requirements are in effect for new students:
Required (core) courses for the Quantitative Finance Track:
AMS 507 Introduction to Probability
AMS 510 Analytical Methods for Applied Mathematics and Statistics
AMS 511 Foundations of Quantitative Finance
AMS 512 Portfolio Theory
AMS 513 Financial Derivatives and Stochastic Calculus
AMS 514 Computational Finance
AMS 516 Statistical Methods in Finance
AMS 517 Quantitative Risk Management
AMS 518, Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization
MBA 539 Investment Analysis
Quantitative Finance Track Electives (students must take at least 2 elective courses to achieve at least 36 graduate credits along with the required courses):
AMS 515 Case Studies in Quantitative Finance
AMS 519 Internship in Quantitative Finance
AMS 522 Bayesian Methods in Finance
AMS 523 Mathematics of High Frequency Finance
AMS 550 Stochastic Models
AMS 553 Simulation and Modeling
AMS 572 Data Analysis
AMS 578 Regression Theory
AMS 586 Time Series
AMS 595 Fundamentals of Computing (1 credit)
AMS, MBA, ECON or CS course approved by the AMS Graduate Program Director as well as the Graduate Program Director of the Corresponding Department
Typical Course Sequence for Quantitative Finance Research Track
First Semester: AMS 507, 510, 511, 513
Second Semester: AMS 512, 517, MBA 539, elective
Third Semester: AMS 514, 516, 518, elective
Course Requirements for the Statistics Track
AMS 510 Analytic Methods for Applied Mathematics and Statistics or
both AMS 504 Foundations of Applied Mathematics; and AMS 505 Applied
Linear Algebra
AMS 507 Introduction to Probability
AMS 570 Mathematical Statistics I
AMS 572 Exploratory Data Analysis I
AMS 573 Design and Analysis of Categorical Data
AMS 578 Regression Theory
AMS 582 Design of Experiments
AMS 597 Statistical Computing (3 credits)
*** AMS 571 Mathematical Statistics II (required for PhD only)
Typical Course Sequence for Statistics Track
First Semester: AMS 507, 510, 572, elective
Second Semester: AMS 570, 573, 578, 597
Third Semester: AMS 582, electives (*** PhD student should take AMS571
if he/she has not done so previously)
Elective Requirements for the M.S. Degree
Any graduate-level AMS course or, with the permission of the Applied Math Graduate Program Director, graduate-level courses in a related discipline may be used to complete the 30-credit M.S. requirement in addition to the preceding core course requirement in each track. Also, six elective credits may be earned by completion of a master's thesis.
Time Limit
All requirements for the Master of Science degree must be completed within three years of the student's first registration as a full-time graduate study. Additional time is allowed for part-time students.