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Doctor of Philosophy in Mathematics
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.
Program Objectives
- Develop scholarly inquiry grounded in research and the reality of practice in the sciences.
- Offer a rigorous and innovative discipline-based knowledge that prepares students to succeed in a globally challenging, competitive and changing environment.
- Enhance professional growth, lifelong learning skills and leadership competencies in the area of specialization for career opportunities in relation with Science.
- Adhere to professional integrity and research ethics, and be committed to values related to the area of specialization.
- Prepare graduates to be inquisitive, to reason critically, and to communicate clearly and effectively.
Program Learning Outcomes
Upon successful completion of this program, students will be able to:
- Retrieve and Apply advanced knowledge to solve problems in Mathematics.
- Perform independently an original work of advanced research on a topic in athematic.
- Analyze quantitatively and critically open problems in athematic.
- Communicate effectively physics finding to a specialized audience as well as the general public.
- Articulate strategies to tackle identified ethical and safety issues that may arise in the field.
- Supervise effectively group efforts to achieve specific tasks.
Degree Requirements
Required Credit Hours : minimum 54 hours
College Requirements
| 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 |
Core Courses
| 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 |
Elective Courses
| 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 |
Qualification Requirements
| Required Courses (0 hours ) | Credit Hours | |
|---|---|---|
| COSC800 | Comprehensive Exam | 0 |
| COSR810 | Research Proposal | 0 |
Research Requirements
| Required Courses (30 hours ) | Credit Hours | |
|---|---|---|
| COSR900 | Dissertation Research | 30 |
| COSD910 | Dissertation Defense | 0 |
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