MS with Thesis
The Department of Mathematics offers graduate courses leading to M.Sc., and eventually to Ph.D., degree in Mathematics. The Master of Science program aims to provide a sound foundation for the students who wish to pursue a research career in mathematics as well as other related areas. The department emphasizes both pure and applied mathematics. Research in the department covers algebra, number theory, combinatorics, differential equations, functional analysis, abstract harmonic analysis, mathematical physics, stochastic analysis, biomathematics and topology.

Degree Requirements
Applicants must have B.S. or B.A. degrees preferably in engineering or in sciences relevant to the particular degree program. In addition to course work, students are engaged in thesis research. Every student is supervised by an advisor. The M.S. Program with Thesis option requires that the students successfully complete a minimum of 21 credits (with 7 courses) beyond a Bachelor’s degree. In addition to the credit courses, students must complete the non-credit courses; MATH 590 Seminar, ENGL 500 Graduate Writing and TEAC 500 Teaching Experience.

Curriculum

The requirements for the degree of Master of Science in Mathematics are as follows.

The master program in Mathematics consists of a) at least 21 credit hours of course work, b) a master thesis and c) graduate seminar course. All students have to take

• MATH 521 Algebra I (4 credits) (*)
• MATH 531 Real Analysis I (4 credits) (*)
• MATH 590 Graduate Seminar (0 credit)
• MATH 595 Thesis

The total credit of these required courses is 8. In addition to these courses students have to take two sequence courses among the courses in areas listed below as a) to g), such as Math 531-532, Math 521-522, etc… These courses are not allowed to be 400 level courses. The areas are;

• Algebra and Number Theory
• Analysis
• Topology and Geometry
• Probability and Statistics
• Discrete Mathematics
• Applied Mathematics
• Logic and Foundations of Science

To complete the credit requirements the courses may be chosen among courses offered by the department of Mathematics and the other departments of the Graduate School of Sciences and Engineering. At most 2 of the elective courses can be 400 level undergraduate courses. The choice of courses must be approved by the student’s graduate advisor.

Students who have TA assignments  must take TEAC 500: Teaching Experience during the semesters of their assignments.  Students must also take ENGL 500: Graduate Writing course.

• Math 503 Applied Mathematics
• Math 504 Numerical Methods I
• Math 506 Numerical Methods II
• MATH 521 Algebra I
• MATH 522 Algebra II
• MATH 525 Algebraic Number Theory
• MATH 527 Number Theory
• MATH 528 Analytic Number Theory
• MATH 531 Real Analysis I
• MATH 532 Real Analysis II
• MATH 533 Complex Analysis I
• MATH 534 Complex Analysis II
• MATH 535 Functional Analysis
• MATH 536 Applied Functional Analysis I
• MATH 537 Applied Functional Analysis II
• MATH 538 Differential Geometry
• MATH 541 Probability Theory
• MATH 544 Stochastic Processes and Martingales
• MATH 545 Mathematics of Finance
• MATH 550 Advanced Ordinary Differential
• MATH 551 Partial Differential Equations I
• MATH 552 Partial Differential Equations II
• MATH 563 Algebraic Coding Theory
• MATH 564 Combinatorial Design Theory
• MATH 565 Graph Theory
• MATH 566 Topics in Module and Ring Theory
• MATH 571 Topology
• MATH 572 Algebraic Topology
• MATH 579 Readings in Mathematics
• MATH 580 Selected Topics in Topology I
• MATH 581Selected Topics in Analysis I
• MATH 582 Selected Topics in Analysis II
• MATH 583 Selected Topics in Foundations of Mathematics
• MATH 584 Selected Topics in Algebra and Topology
• MATH 585 Selected Topics in Probability and Statistics
• MATH 586 Selected Topics in Differential Geometry
• MATH 587 Selected Topics in Differential Equations
• MATH 588 Selected Topics in Applied Mathematics
• MATH 589 Selected Topics in Combinatorics