Doctor of Philosophy in Mathematics UAEU United Arab Emirates University

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 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's degree or equivalent in physics or related subjects, with an associated cumulative GPA of 3.3 or more (on a 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 to 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)

• COSC701-Research Methods II (2 Hours)
• COSC702-Ethics of Scientific Research II (1 Hour)
• COSS711-Seminar I (1 Hour)
• COSS722-Seminar II (1 Hour)
• COSS733-Journal Club (1 Hour)

Core Courses

Students should select 3 courses from the list below (9 hours)

• MATH710-Functional Analysis (3 Hours)
• MATH715-Advanced Measure Theory (3 Hours)
• MATH720-Numerical Methods for Partial Differential Equations (3 Hours)
• MATH740-Advanced Algebra (3 Hours)
• MATH760-Topology (3 Hours)
• MATH770-Advanced Partial Differential Equations (3 Hours)
• MATH772-Theory of Ordinary Differential Equations (3 Hours)

Elective Courses

Students should select any 3 courses from the following courses (9 hours)

• MATH716-Introduction to Operator Algebras (3 Hours)
• MATH741-Advanced Number Theory (3 Hours)
• MATH743-Cryptography (3 Hours)
• MATH744-Coding Theory (3 Hours)
• MATH745-Finite Fields and Applications (3 Hours)
• MATH746-Finite Groups (3 Hours)
• MATH747-Module and Ring Theory (3 Hours)
• MATH761-Algebraic Topology (3 Hours)
• MATH763-Knot Theory and Applications (3 Hours)
• MATH764-Differential Manifold (3 Hours)
• MATH771-Integral Equations and Calculus of Variations (3 Hours)
• MATH773-Dynamical Systems and chaos theory (3 Hours)
• MATH774-Stochastic Calculus for Finance (3 Hours)
• MATH777-Numerical Methods for Finance (3 Hours)
• MATH795-Independent Studies (3 Hours)

Research Requirements

Required Courses (30 hours)

• COSR900-Dissertation Research (30 hours)
• COSD910-Dissertation Defense (0 hours)

Ph.D. Scholarship (All Nationalities) Full-Time

The purpose of the “Ph.D. Scholarship” is to recruit high-achieving graduate students in certain majors at UAEU and provide them with full and continuous financial support to pursue their graduate studies at UAEU.

Student Eligibility

• Have a GPA ≥ of 3.5/4.0 in the Master's degree.
• A score of 6.5 or higher on the IELTS Academic exam or equivalent.
• Have no employment or other financial sponsorship.
• Have a dissertation in one of the UAE priority sectors(Renewable Energy, Transportation, Education, Health, Water, Technology, Space).
• Meet the Ph.D. admission requirements.

Benefits

• Full tuition waiver.
• Monthly Stipend.
• Health insurance (if needed).
• Extra Bonus:
  • Up to AED 3,000 from the supervisor’s external research project, or
  • Up to AED 2,000 from the supervisor’s internal research project.

Duration

4 years

Duties and Expectations

• Maintain a GPA of ≥ 3.3 at the Ph.D. level.
• Be enrolled full-time (minimum of 9 credits/semester) at the Ph.D. level.
• Be available at UAEU full-time.
• Commit to a minimum of 40 hours/week as the following:
  • During the first 3 semesters of active enrollment: 35 hours/week on courses and/or research project + 5 hours/week as a Graduate Teaching Assistant (GTA) or Graduate Administrative Assistant (GAA).
  • After 3 semesters of active enrollment: 30 hours/week on courses and/or research project + 10 hours/week as a Graduate Teaching Assistant (GTA) or Graduate Administrative Assistant (GAA).

Ph.D. Fellowship (All Nationalities) Full-Time

The purpose of the “Ph.D. Fellowship” is to recruit high-achieving graduate students in certain majors at UAEU and provide them with full and continuous financial support to pursue their graduate studies at UAEU.

Student Eligibility

• Have a GPA ≥ of 3.3/4.0 in the Master's degree.
• A score of 6.5 or higher on the IELTS Academic exam or equivalent.
• Have no employment or other financial sponsorship.
• Have a dissertation in one of the UAE priority sectors(Renewable Energy, Transportation, Education, Health, Water, Technology, Space).
• Meet the Ph.D. admission requirements.

Benefits

a) Full Package:

• Full tuition waiver.
• Monthly Stipend:
• Health insurance (if needed).
• Extra Bonus:
  • Up to AED 3,000 from the supervisor’s external research project, or
  • Up to AED 2,000 from the supervisor’s internal research project.

b) Basic Package:

• Full tuition waiver.
• Health insurance (if needed).
• Additional work (optional) as Graduate Teaching Assistant (GTA) or Graduate Administrative Assistant (GAA) up to 20 hours per week upon availability by the College or College of Graduate Studies (up to AED 4,000).
• Extra Bonus:
  • Up to AED 3,000 from supervisor’s external research project, or
  • Up to AED 2,000 from supervisor’s internal research project.

Duration

4 years

Duties and Expectations

• Maintain a GPA of ≥ 3.0 at the Ph.D. level.
• Be enrolled full-time (minimum of 9 credits/semester).
• Be available at UAEU full time.
• Commit to a minimum of 40 hours/week as the following:
  • During the first 3 semesters of active enrollment: 35 hours/week on courses and/or research project + 5 hours/week as a Graduate Teaching Assistant (GTA) or Graduate Administrative Assistant (GAA).
  • After 3 semesters of active enrollment: 30 hours/week on courses and/or research project + 10 hours/week as a Graduate Teaching Assistant (GTA) or Graduate Administrative Assistant (GAA).

Ph.D. Tuition Payer (All Nationalities) Part-time or Full-time

The purpose of the “Ph.D. Tuition Payer” option is to recruit high achieving graduate students who are employed and wish to pursue their graduate studies at UAEU on a part-time basis.

Student Eligibility

• Have a GPA ≥ of 3.0/4.0 in the Master's degree.
• Pay the tuition fees of the Ph.D. program.
• Prefer to have the dissertation in one of the UAE priority sectors(Renewable Energy, Transportation, Education, Health, Water, Technology, Space).
• Meet the Ph.D. admission requirements.

Benefits

• Optional work as Graduate Teaching Assistant (GTA) or Graduate Administrative Assistant (GAA) up to 10 hours per week upon availability by College or College of Graduate Studies (up to AED 2,000).
• Extra Bonus:
  • Up to AED 3,000 from supervisor’s external research project, or
  • Up to AED 2,000 from supervisor’s internal research project.

Duration

4 - 6 years

Duties and Expectations

• Maintain a GPA of ≥ 3.0 at the Ph.D. level.
• Be enrolled in a minimum of 6 credits/semester.
• The applicant can be an employee and work outside of UAE University.
• The applicant can have external financial sponsorship from any organization.

Merit Fellowship Award

To receive the Merit Award, students are expected to have high academic credentials and maintain their academic success at the UAEU. The Merit Fellowship Award offers financial assistance in the form of partial tuition waiver to qualified students. Students in STEM and strategic areas of the country (renewable energy, transportation, health, water resources, technology, space) will have priority.

Student Eligibility:

• Have Excellent Academic Standing (GPA ≥ 3.6/4.0).
• Maintain a GPA ≥3.6/4.0 during study at UAEU.
• Have no other financial sponsorship or award.

Benefits:

• 50% discount on tuition fees.

Duration:

• Valid until graduation as long as the student is abiding with the Student Eligibility conditions.