PhD Program

The Department of Mathematics at King Abdulaziz University (KAU) offers a graduate program leading to a PhD degree in Mathematics. Applicants for the PhD program must hold a Master’s degree with a major study in Mathematics or an equivalent qualification. This program is designed to expand and consolidate existing mathematics knowledge, and to develop skills in undertaking research projects in mathematics. It is also pertinent for mathematics graduate students who have worked for a few years and need to improve their skills and knowledge. PhD candidates undertake in-depth courses and research in order to make a novel contribution to the body of knowledge in a selected field of study. This qualification can enhance or lead to, an academic profession and is also highly regarded by public and private employers. The thesis is undertaken under the direction of a supervisor who will typically be involved in examining the students and guide their writing in a specific area of mathematics with the requirement of obtaining original results. Thesis gives students the opportunity to develop broader skillset in the processes of organising, communicating and presenting their work and will prepare students well for further research.

Home Faculty

Faculty of Science

Testamur Title of Degree

PhD in Mathematics

Duration

3 Years Full-Time

Abbreviation

MATH

Mission

"Community Responsibility : Knowledge Development, Research, Innovation and Entrepreneurship" .

Students graduating as PhD in Mathematics will be able to:

  • Teach, explain and transmit mathematical skills, knowledge and ideas to academic and non-academic audiences.
  • Work individually or within a team and learn the initiative spirit and bear responsibility for different circumstances.
  • Exploit reasonable and creative thinking, linking introductions to results and problem explaining which require mathematical methods.
  • Apply integrated and advanced understanding of a complex body of knowledge in either pure or applied mathematics.
  • Apply detailed knowledge of examine, research integrity, ethics, intellectual independence, and responsibility for personal outputs.

To become eligible for admission to our PhD in Mathematics, candidates have to fulfill the following conditions:

  • Student should hold MSc degree in Mathematics from a university, college or program recommended by Ministry of Education.
  • Student should have obtained an overall Grade C (=good) and at least accumulative Grade B (=very good) in mathematics courses in MSc.
  • Academic and English language requirements, is available from the DGS.
  • General program requirements is available from the DGS.
  • Student should pass PhD Enternace Exam, for additional information click here.

 

  • Students should visit the DGS in order to apply for the PhD Program in Mathematics.

 

The degree requires satisfactory completion of at least 41 credit hours and not more than 57 credit hours of 700 level courses including the original research conducted under the supervision of a faculty member. The credit hours are divided as follows:


Compulsory Courses Obligatory Proposal Courses Obligatory Research Courses Selected Course Thesis Total
Credit Hours 18 4 6 3 10 41

Every student registered for PhD degree in mathematics shall have to follow the following plan of studies:

  1. Compulsory Courses
    • Successful completion of 18 credit hours of PhD courses sequence as approved by the Department Graduate Committee (DGC). Enrollment in and satisfaction of student’s major branch and two other major branches chosen from the following table:
    No. Major branches of mathematics Course Code Credit Hours No. Major branches of mathematics Course Code Credit Hours
    Per Course Total Per Course Total
    1 Ordinary Differential Equations MATH 701 3 6 2 Applied Mathematics MATH 731 3 6
    MATH 702 3 MATH 732 3
    3 Partial Differential Equations MATH 703 3 6 4 Algebra MATH 741 3 6
    MATH 704 3 MATH 742 or MATH 743 3
    5 Functional Analysis MATH 711 3 6 6 Geometry MATH 751 3 6
    MATH 712 3 MATH 752 3
    7 Real Analysis MATH 713 3 6 8 Topology MATH 771 3 6
    MATH 714 3 MATH 772 3
    9 Numerical Analysis MATH 721 3 6
    3
    • The passing grade for each of these courses is 70%.
  2. Comprehensive Examination
    • The comprehensive exam is mandatory for all PhD students and the passing grade in the exam is 70%.
    • The Comprehensive Exam must be taken no later than two academic years after registration in the PhD program.
    • A student must inform the department postgraduate committee with his/her major branch and two other chosen major branches of the Comprehensive Exam at the end of the first semester after registration in the PhD program.
    • A student must pass the Comprehensive Exam in three major branches.
    • A student is allowed a second opportunity to retake the Comprehensive Exam in the same major branch.
    • A student who fails the Comprehensive Exam a second time will be required to withdraw from the PhD program.
    • The Comprehensive Exams will be held twice during the academic year.
    • Student must understand that the purpose of the comprehensive exam is to demonstrate the ability to assimilate the theories, concepts, and knowledge gained during PhD coursework. Successful completion of PhD coursework does not guarantee automatic passing of the comprehensive examination.
    • For additional information about the Comprehensive Exam click here.
  3. Obligatory Proposal Courses
    • Upon successful completion of the Comprehensive Exam, doctoral candidates are eligible to enroll in MATH 795 (1 credit hour) and MATH 796 (3 credit hours). The courses' contents should be selected by a student's supervisor and must exhibit relevance to both the student's major branch and the focal topic of the thesis.

  4. Research proposal
    • Doctoral candidates are also required to write a research proposal of their intended research topic after passing MATH 795 and MATH 796 in consultation with their supervisor.

  5. Obligatory Research Courses
    • Doctoral candidates can register MATH 797 (3 credit hours) and MATH 798 (3 credit hours) with the supervisor after passing MATH 795 and MATH 796.

  6. Selected Course
    • A 3 credit hours course may be selected in consultation with the supervisor.

  7. Research Papers
    • Publication/acceptance of at least two research papers in well-respected journals from the student thesis, as required by the DGS.

  8. Thesis
    • A doctoral candidate must produce a PhD thesis (worth 10 credit hours) of high impact original research written on a topic outlined in the research proposal as well as approved by the department council and in consultation with the supervisor.
    • For more information about academic thesis writing policy, student should visit DGS.
    •  

  9. Oral Defense of The Thesis
    • After the thesis has been completed and two research papers are published/accepted, the supervisor should notify the department postgraduate committee that the doctoral candidate is ready for the final oral defense. The department will appoint the examination committee with the recommendation/ consultation with concerned supervisor who will also chair the committee.

 

Students graduating as PhD in Mathematics will be able to:

  • Teach, explain and transmit mathematical skills, knowledge and ideas to academic and non-academic audiences.
  • Work individually or within a team and learn the initiative spirit and bear responsibility for different circumstances.
  • Exploit reasonable and creative thinking, linking introductions to results and problem explaining which require mathematical methods.
  • Apply integrated and advanced understanding of a complex body of knowledge in either pure or applied mathematics.
  • Apply detailed knowledge of examine, research integrity, ethics, intellectual independence, and responsibility for personal outputs.

To become eligible for admission to our PhD in Mathematics, candidates have to fulfill the following conditions:

  • Student should hold MSc degree in Mathematics from a university, college or program recommended by Ministry of Education.
  • Student should have obtained an overall Grade C (=good) and at least accumulative Grade B (=very good) in mathematics courses in MSc.
  • Academic and English language requirements, is available from the DGS.
  • General program requirements is available from the DGS.
  • Student should pass PhD Enternace Exam, for additional information click here.

 

  • Students should visit the DGS in order to apply for the PhD Program in Mathematics.

The degree requires satisfactory completion of at least 41 credit hours and not more than 57 credit hours of 700 level courses including the original research conducted under the supervision of a faculty member. The credit hours are divided as follows:


Compulsory Courses Obligatory Proposal Courses Obligatory Research Courses Selected Course Thesis Total
Credit Hours 18 4 6 3 10 41

Every student registered for PhD degree in mathematics shall have to follow the following plan of studies:

  1. Compulsory Courses
    • Successful completion of 18 credit hours of PhD courses sequence as approved by the Department Graduate Committee (DGC). Enrollment in and satisfaction of student’s major branch and two other major branches chosen from the following table:
    No. Major branches of mathematics Course Code Credit Hours No. Major branches of mathematics Course Code Credit Hours
    Per Course Total Per Course Total
    1 Ordinary Differential Equations MATH 701 3 6 2 Applied Mathematics MATH 731 3 6
    MATH 702 3 MATH 732 3
    3 Partial Differential Equations MATH 703 3 6 4 Algebra MATH 741 3 6
    MATH 704 3 MATH 742 or MATH 743 3
    5 Functional Analysis MATH 711 3 6 6 Geometry MATH 751 3 6
    MATH 712 3 MATH 752 3
    7 Real Analysis MATH 713 3 6 8 Topology MATH 771 3 6
    MATH 714 3 MATH 772 3
    9 Numerical Analysis MATH 721 3 6
    3
    • The passing grade for each of these courses is 70%.
  2. Comprehensive Examination
    • The comprehensive exam is mandatory for all PhD students and the passing grade in the exam is 70%.
    • The Comprehensive Exam must be taken no later than two academic years after registration in the PhD program.
    • A student must inform the department postgraduate committee with his/her major branch and two other chosen major branches of the Comprehensive Exam at the end of the first semester after registration in the PhD program.
    • A student must pass the Comprehensive Exam in three major branches.
    • A student is allowed a second opportunity to retake the Comprehensive Exam in the same major branch.
    • A student who fails the Comprehensive Exam a second time will be required to withdraw from the PhD program.
    • The Comprehensive Exams will be held twice during the academic year.
    • Student must understand that the purpose of the comprehensive exam is to demonstrate the ability to assimilate the theories, concepts, and knowledge gained during PhD coursework. Successful completion of PhD coursework does not guarantee automatic passing of the comprehensive examination.
    • For additional information about the Comprehensive Exam click here.
  3. Obligatory Proposal Courses
    • Upon successful completion of the Comprehensive Exam, doctoral candidates are eligible to enroll in MATH 795 (1 credit hour) and MATH 796 (3 credit hours). The courses' contents should be selected by a student's supervisor and must exhibit relevance to both the student's major branch and the focal topic of the thesis.

  4. Research proposal
    • Doctoral candidates are also required to write a research proposal of their intended research topic after passing MATH 795 and MATH 796 in consultation with their supervisor.

  5. Obligatory Research Courses
    • Doctoral candidates can register MATH 797 and 798 with the supervisor after passing MATH 795 and MATH 796.

  6. Selected Course
    • A 3 credit hours course may be selected in consultation with the supervisor.

  7. Research Papers
    • Publication/acceptance of at least two research papers in well-respected journals from the student thesis, as required by the DGS.

  8. Thesis
    • A doctoral candidate must produce a PhD thesis (worth 10 credit hours) of high impact original research written on a topic outlined in the research proposal as well as approved by the department council and in consultation with the supervisor.
    • For more information about academic thesis writing policy, student should visit DGS.
    •  

  9. Oral Defense of The Thesis
    • After the thesis has been completed and two research papers are published/accepted, the supervisor should notify the department postgraduate committee that the doctoral candidate is ready for the final oral defense. The department will appoint the examination committee with the recommendation/consultation with concerned supervisor who will also chair the committee.

 

Program Courses

 

Lists of PhD Courses
Course Course Title Credit Hours Pre-Requisites
MATH 701 Differential Equations 3
MATH 702 Ordinary Differential Equations 3 MATH 701
MATH 703 Partial Differential Equations I 3 MATH 701
MATH 704 Partial Differential Equations II 3 MATH 703
MATH 711 Functional Analysis I 3
MATH 712 Functional Analysis II 3 MATH 711
MATH 713 Real Analysis I 3
MATH 714 Real Analysis II 3 MATH 713
MATH 715 Complex Analysis 3
MATH 721 Numerical Analysis I 3
Math 722 Numerical Analysis I 3 MATH 721
MATH 741 Abstract Algebra 3
MATH 742 Group Theory 3 MATH 741
Course Course Title Credit Hours Pre-Requisites
MATH 743 Ring Theory 3 MATH 742
MATH 744 Field Theory 3 MATH 743
MATH 745 Module Theory 3 MATH 743
MATH 746 Multilinear Algebra 3
MATH 751 Geometry I 3
MATH 752 Geometry II 3 MATH 751
Math 753 Algebraic Geometry 3 MATH 743
MATH 771 General Topology I 3
MATH 772 General Topology II 3 MATH 771
MATH 773 Algebraic Topology I 3 MATH 743
MATH 774 Algebraic Topology II 3 MATH 773
MATH 795 Seminar 1
MATH 796 Selected topics in Mathematics-I 3
Math 797 Selected topics in Mathematics-II 3 MATH 796

Click Here To Download Full Study Plan and Courses' Description


Administrative Coordinator for Staff Affairs and Graduate Students


Mr. Ibrahem Ali Aljaber

Building: A 90, Office: A-3661 | EXT:65356
ialjabir@kau.edu.sa

Last Update
3/26/2024 5:56:20 AM