Department of Mathematical Sciences

Master of Science in Applied Mathematics and Staistics

The last quarter century has seen a remarkable development in the world, the information revolution. No one could have predicted the speed with which information technology would produce ``a super-microcomputer on each desk'', the electronic global economy, the internet, and myriads of applications and services, previously unimaginable. Information technology is where the action is, where the breakthroughs are occurring, especially at the interface with other disciplines, where the smartest young men and women are choosing to study and work.

The Mathematical Sciences are at the core of this information technology revolution which is driving our economy and transforming the way we live, work and play. This is because each science contributing to this unprecedented revolution is firmly based on the mathematical sciences. Every corner of the mathematical spectrum is put to work in today's leading sciences from number theory and elliptic curves, to algebra, combinatorics, geometry, harmonic analysis, probability, statistics, and dynamical systems. The Mathematical Sciences Department, coupled with other outstanding programs at FAU can participate and enjoy the fruits of this scientific revolution. In education, research, and technology transfer, the Department can help define the future.

The Department of Mathematical Sciences at Florida Atlantic University includes a number of world class scholars recognized nationally and internationally for their contributions to their areas of research, and teaching. The Department has produced many graduates who went on to succeed in industry, government or academia. Five tracks are proposed in this program as follows: 1) Continuous Modeling, 2) Cryptology and Information Security, 3) Biostatistics, 4) Financial Mathematics, and 5) Scientific Visualization (planned). These areas are of central national importance, with thousands of job openings available now and more projected in the future.

Curriculum

The MS program in Applied Mathematic and Statistics will require students to complete 30 credit hours of required courses and an additional 6 credit hours of industrial internship or thesis.
PREREQUISITE: Computer Competency; Bachelor's degree in mathematics or related area; Candidates must satisfy the general Graduate School admission requirements.
Most tracks in the M.S. Program in Applied Mathematics and Statistics encompass primarily courses offered through the Department of Mathematical Sciences, but courses offered in other departments may be appropriate as electives. Students may substitute such courses with the approval of the graduate committee. Several "new" courses described below will initially be offered as "special topics: MAT 6933". Once these courses have been fully developed we will seek "New Course" approval for these topics.

Common mathematics core (6 credits)

Any two of the following 3 courses
Courses   Credits
Introductory Analysis I MAA 5226 3
Introductory Abstract Algebra I MAS 5312 3
Mathematical Satistics STA 6326 3

Continuous modelling track (30 credits)

Required courses:
    Credits
Introductory Analysis II MAA 5227 3
Numerical Analysis MAT 6933 3
Ordinary Differential Equations MAT 6933 3
Industrial Mathematics I MAT 6993 3

Elective Courses (12 hours)
Choose 4 from
    Credits
Industrial Mathematics II MAT 6933 3
Real Analysis I MAA 6306 3
Partial Differential Equations MAP 6356 3
Control Theory & Optimization MAT 6993 3
Dynamical Systems I MAP 6208 3
Dynamical Systems II MAP 6209 3
Numerical Methods for PDE's MAT 6933 3
Advanced Linear Algebra MAT 6933 3

Total (incl. common core): 30 credits

Cryptology track (30 credits)

Required Courses
    Credits
Cryptography MAD 6477 3
Cryptanalysis MAD 6478 3
Coding Theory MAD 6163 3
Algebraic Number Theory MAS 6215 3
Analysis of Algorithms COT 6401 3

Elective courses (9 hours)
Choose 3 from:
    Credits
Computer Networks CEN 5502 3
Computability and Complexity COT 5410 3
Combinatorics I MAD 6203 3
Combinatorics II MAD 6204 3
Introductory Cryptography MAT 5932 3
Information Theory EEL 6522 3
Computer Data Security COP 6855 3
Computational Group Theory MAT 6933 3

Total (incl. common core): 30 credits

Biostatistics track (30 credits)

Required courses:
    Credits
Mathematical Probability STA 6444 3
Biostatistics STA 6176 3
Regression Analysis STA 6208 3
Generalized Linear Models STA 6236 3
Survival Analysis and Clinical Trials STA 6177 3

Elective courses (9 credits)
Choose 3 from:
    Credits
Statistical Methods for Environmental Sciences STA 6206 3
Applied Statistics Methods STA 6207 3
Topics in Probability and Statistics STA 6446 3
Analysis of Multivariate Data STA 6707 3
Survey Sampling STA 5225 3
Analysis of Categorical Data STA 6505 3
Applied Time Series STA 6857 3
Statistical Computing STA 6901 3

Total (incl. common core): 30 credits

Financial Mathematics track (30 credits)

Required courses:

    Credits
Mathematical Probability STA 6444 3
Stochastic Calculus STA 6446 3
Financial Mathematics I STA 6907 3
Financial Mathematics II STA 6908 3

Elective courses (12 credits)
Choose 4 from:
    Credits
Financial Management FIN 6207 3
Financial Markets FIN 6246 3
Portfolio Theory FIN 6525 3
Applied Statistical Methods STA 6207 3
Regression Analysis STA 6208 3
Topics in Stochastic Processes STA 6446 3
Applied Time Series STA 6857 3
Statistical Computing STA 6901 3
Numerical Methods in Finance STA 6909 3

Total (incl. common core): 30 credits
Students must complete 36 credits to earn the M.S. degree. The M.S. in Financial Mathematics Track has three options:
(i) a thesis option requiring 36 credit hours, with 30 credit hours of graduate course work and 6 credits from the completion of a thesis;
(ii) a non-thesis course option requiring 36 credit hours of graduate course work;
(iii) an internship option requiring 36 credit hours, with 30 credits of graduate course work and 6 credits from participating in an internship.

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