The awarded degree, in recognition of the completion of the requirements of this program, is "Doctor of Philosophy in Mathematics”. The study plan for the Ph.D. Program in Mathematics shall consist of a total of 54 credit hours. The Ph.D. students must complete all degree requirements in a minimum of six (6) and a maximum of twelve (12) semesters after matriculation. The Program includes 6 credit hours of College of Science (COS) mandatory courses, 9 credit hours Mathematics core courses, 9 credit hours physics electives and 30 credit hours for Thesis. The mode of study is on a full-time basis. Applicants must have successfully completed a Master degree or equivalent in physics or related subjects, with associated cumulative GPA of 3.3 or more (on scale of 4). All degree courses and written thesis are in English, leading to minimum IELTS requirements of 6.5, achieved not more than two years prior to enrollment in the Ph.D. program.
Upon successful completion of this program, students will be able to:
Required Courses (6 hours) | Credit Hours | |
---|---|---|
COSC701 | Research Methods II | 2 |
COSC702 | Ethics of Scientific Research II | 1 |
COSS711 | Seminar I | 1 |
COSS722 | Seminar II | 1 |
COSS733 | Journal Club | 1 |
Students should select 3 courses from the list below (9 hours) | Credit Hours | |
---|---|---|
MATH710 | Functional Analysis | 3 |
MATH715 | Advanced Measure Theory | 3 |
MATH720 | Numerical Methods for Partial Differential Equations | 3 |
MATH740 | Advanced Algebra | 3 |
MATH760 | Topology | 3 |
MATH770 | Advances Partial Differential Equations II | 3 |
MATH772 | Theory of Ordinary Differential Equations | 3 |
Students should select any 3 courses from the following courses (9 hours) | Credit Hours | |
---|---|---|
MATH716 | Introduction to Operator Algebras | 3 |
MATH741 | Advanced Number Theory | 3 |
MATH743 | Cryptography | 3 |
MATH744 | Coding Theory | 3 |
MATH745 | Finite Fields and Applications | 3 |
MATH746 | Finite Groups | 3 |
MATH747 | Module and Ring Theory | 3 |
MATH761 | Algebraic Topology | 3 |
MATH763 | Knot Theory and Applications | 3 |
MATH764 | Differential Manifold | 3 |
MATH771 | Integral Equations and Calculus of Variations | 3 |
MATH773 | Dynamical Systems and chaos theory | 3 |
MATH774 | Stochastic Calculus for Finance | 3 |
MATH777 | Numerical Methods for Finance | 3 |
MATH795 | Independent Studies | 3 |
Required Courses (0 hours) | Credit Hours | |
---|---|---|
COSC800 | Comprehensive Exam | 0 |
COSR810 | Research Proposal | 0 |
Required Courses (30 hours) | Credit Hours | |
---|---|---|
COSR900 | Dissertation Research | 30 |
COSD910 | Dissertation Defense | 0 |
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