1. Semester

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
Departmental Elective - - - - - - - - - -
Departmental Elective - - - - - - - - - -
Departmental Elective - - - - - - - - - -
Departmental Elective - - - - - - - - - -
Departmental Elective - - - - - - - - - -
MATH613 Mathematical Analysis - - - - - - - - - -
MATH612 Advanced Linear Algebra - - - - - - - - - -

2. Semester

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
Departmental Elective - - - - - - - - - -
Departmental Elective - - - - - - - - - -
Departmental Elective - - - - - - - - - -
MATH982 PhD Seminar - - - - - - - - - -

3. Semester

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MATH989 PhD Qualifying Exam - - - - - - - - - -

4. Semester

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MATH991 PhD Thesis Proposal - - - - - - - - - -

5. Semester

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MATH997 PhD Thesis - - - - - - - - - -

Area Elective

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MATH630 Analytic Number Theory 3 4 4 3 4 5 4 4 4 2
MATH640 Time Series Analysis 5 4 4 2 5 4 5 3 5 5
MATH651 Measure Theory and Functional Analysis 4 4 3 3 4 4 4 4 3 1
MATH670 Mathematical Models in Biology 5 2 4 2 5 4 3 2 5 4
MATH658 Operator Theory 4 4 3 3 4 4 4 4 3 1
MATH659 Spectral Representations and Unbounded Operator Theory 4 4 3 3 4 4 4 4 4 1
MATH521 Numerical Analysis I 5 4 5 3 3 4 5 4 5 3
MATH522 Numerical Analysis II 5 4 5 4 4 3 4 5 4 4
MATH524 Finite Difference Methods for PDEs 5 4 4 4 5 5 5 4 4 3
MATH543 Group Theory I 4 5 3 4 4 5 4 4 4 5
MATH552 Complex Analysis 5 5 4 3 4 4 5 4 5 4
MATH557 Functional Analysis 5 4 5 4 5 5 5 4 4 4
MATH562 Theory of Differential Equations 5 4 5 4 4 5 5 5 5 4
MATH564 Impulsive Differential Equations 4 4 5 4 5 3 4 5 4 4
MATH571 Topology 5 5 4 5 4 5 4 4 5 4
MATH575 Calculus on Manifolds 4 5 4 4 5 3 4 3 3 3
MATH577 An Introduction to Low Dimensional Topology 4 4 4 5 3 4 4 5 3 4
MATH545 Introduction to Authenticated Encryption 4 5 4 4 5 3 5 3 4 5
MATH542 Algebraic Number Theory 5 4 5 5 5 4 4 5 3 4
MATH546 Galois Theory 4 4 4 5 5 4 4 4 3 5
MATH565 Dynamic Systems on Time Scales 5 4 4 5 5 4 5 4 5 4
MATH572 Differentiable Manifolds 5 4 4 5 4 4 4 4 4 3
MATH574 Riemannian Geometry 4 5 3 4 5 4 4 4 4 4
MATH582 Approximation Theory 5 4 4 3 4 5 4 4 3 4
MATH547 Algebraic Geometry 4 5 4 4 5 4 5 4 4 4
MATH556 Applied Functional Analysis 5 4 4 5 4 5 4 5 4 4
MATH563 Difference Equations 5 5 4 5 4 5 4 5 4 4
MATH573 Algebraic Topology 4 5 5 4 5 4 4 4 5 4
MATH591 Analytical Probability Theory 4 4 3 4 3 4 5 3 4 4
MATH584 Nonlinear Problems in Applied Mathematics 5 4 4 3 5 4 4 4 5 3
MATH576 Differential Topology 4 3 4 4 3 4 4 4 4 5
MATH585 Mathematical Modeling 5 4 4 4 4 4 3 4 4 5
MATH555 Bernstein Polynomials 5 5 4 3 4 5 4 4 5 4