Applied Mathematics, Mathematical Theory of Communication Systems Concentration, M.S.

(Major Code: 17031) (SIMS Code: 776317)

This concentration focuses on the area of mathematics relevant to the transmitting and processing of information by digital or analog methods. In addition to meeting the requirements for classified standing in the Master of Science program in applied mathematics, students pursuing this concentration should also have completed one upper division course in algebra (MATH 320 ) before entering the program.

Advancement to Candidacy

All students must satisfy the general requirements for advancement to candidacy as described in Requirements for Master’s Degrees . In addition, the student must have passed a qualifying examination in some programs.

Students Must Complete

MATH 525 - Algebraic Coding Theory Units: 3
MATH 620 - Groups, Rings, and Fields Units: 3
MATH 621 - Advanced Topics in Algebra Units: 3
MATH 626 - Cryptography Units: 3
MATH 630 - Applied Real Analysis Units: 3
MATH 668 - Applied Fourier Analysis Units: 3

And, One Course Selected From

MATH 625 - Algebraic Coding Theory Units: 3
or
MATH 667 - Mathematical Aspects of Systems Theory Units: 3

Additional Courses

Additional courses at the 500- or 600-level in mathematics or in a related discipline may be selected with the approval of the program adviser. The student must select Plan A, complete MATH 799A - Thesis or Project , and give a public oral defense of the thesis. A thesis normally takes one year to complete and is done under the direction of a thesis adviser.