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 Mathematics.
Analyze quantitatively and critically open problems in Mathematics.
Communicate effectively Mathematics finding to a specialized audience as well as the general public.
Articulate strategies to tackle identified ethical 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