Doctor of Philosophy (PhD) Concentration: Mathematics

The PhD program in Mathematical Sciences is designed for students with Master degree in Mathematics from a credit university. It is a 56 credit hours program offered for full time students within the Department of Mathematical Sciences. Students are required to complete 24 credit hours of coursework in addition to30 credit hours assigned to research and a completion of a PhD thesis. The coursework includes 6 credit hours of College of Science requirements (Ethics, Research Methods and Seminars), 3 core mathematics courses in addition to 3 elective courses (9 credit hours) that allow the student to specialize in any specific topic related to pure or applied mathematics. Student progress is overseen by a research supervisor (and co-supervisors) and a thesis defense committee. The program is a fee-based program open for all students who meet the entry requirements.

Program Learning Outcomes

Upon successful completion of this program, students will be able to:

  • Will demonstrate the breadth of knowledge in the discipline and advance, in-depth knowledge in the sub-discipline or area of specialization.
  • Will have performed and defended an original work of research in their fields of specialization which contributed new human knowledge.
  • Will be able to identify, analyze critically and explain open problems in their disciplines and apply relevant research methodology for finding a possible solution.
  • Will be able to communicate the major tenets of their field of specialization and their work orally and in writing to the faculty, their peers, and the lay public.
  • Will be able to identify areas where ethical issues may arise in their field, and articulate strategies to mitigate situations related to ethical issues in their profession.
  • Will demonstrate an insight into the transferable nature of research skills to other work environments and the range of career opportunities available to them inside and outside academia.

Degree Requirements

Required Credit Hours : minimum 54 hours

Program Requirements:

Part 1: General Requirements (6.00 hours)

Credit Hours
COSC701Research Methods II1.000
COSC702Ethics of Scientific Research II1.000
COSS711Seminar I1.000
COSS722Seminar II1.000
COSS733Journal Club1.000

Part 2: Concentration Requirements (Student can choose any three of the following courses including MATH 715. The list of courses below will allow the students to choose their field of study either pure or applied mathematics.) (9.00 hours)

Credit Hours
MATH710Functional Analysis3.000
MATH715Advanced Measure Theory3.000
MATH720Numerical Methods for Partial Differential Equations3.000
MATH740Advanced Algebra3.000
MATH770Advanced Partial Differential Equations3.000
MATH772Theory of Ordinary Differential Equations3.000

Part 3: Elective Requirements (9 credits) (Any 9 credits hours of the following courses, or other approved graduate courses of 600 level or above according to the study plan.) (9.00 hours)

Credit Hours
MATH662Algebraic Topology3.000
MATH663Knot Theory and Applications3.000
MATH644Coding Theory3.000
MATH664Differential Manifold3.000
MATH673Dynamical Systems3.000
MATH641Advanced Number Theory3.000
MATH674Stochastic Calculus for Finance3.000
MATH676Advanced Mathematics of Finance3.000
MATH671Integral Equations and Calculus of Variations3.000
MATH677Numerical Methods for Finance3.000
MATH745Finite Fields and Applications3.000
MATH716Introduction to Operator Algebras3.000
MATH746Finite Groups3.000
MATH747Module and Ring Theory3.000

Part 4: Qualification Requirements (0.00 hours)

Credit Hours
COSC800Comprehensive Exam0.000
COSR810Research Proposal0.000

Part 5: Research Requirements (30.00 hours)

Credit Hours
COSR900Dissertation Research  10.000
COSD910Dissertation Defense0.000
1 : Min CH:0 to Max CH:36