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Major Sheet

PROGRAM  REQUIREMENTS

 
  1.  A MINIMUM of 18 Credits of Course-Work

  1.  Qualifying Examination

  1. Completing a Major Topic

  1. Successful Oral Public Defense of the Dissertation

 

1.

Course-Work  (Minimum of 18 credits)

 

The student must complete a course-work in accordance to the scheme described in (a), (b), and (c) below. The minimum number of combined credits is 18.

a)

Basic Courses*: (0-6 credits)   

 

The student must take each of the six courses listed below (each course is three credits), and pass each with a grade of B or better provided such a course or its equivalent had not been taken before to complete a Master or an undergraduate degree requirements.

 

0410-501

Algebra I

0410-510  

Analysis I

0410-512

Complex Analysis I

0410-513

Ordinary Differential Equations

0410-515

Functional Analysis

0410-525

General Topology

 
  • If a student needs to take more than two courses from the list above, then only 6 credit hours will be awarded toward the fulfillment of the course-work requirement.

  • If a student has already taken all the courses listed above to complete  a  Master’s or an undergraduate degree requirements, then the student may include in the program of study  500-Level mathematics courses other than those listed above. However,  the student must pass any such course with a grade of B or better in order to count toward the course-work requirements; and the maximum number of credits awarded shall not exceed six. 

b)

600-Level Courses: (9 credits or more) 

 

The student must take at least three (3)  of the 600-Level courses listed below (each course is three credits) that are offered by the department of Mathematics and Computer Science.

0410 - 601

Algebra

0410 - 603

Ring Theory

0410 - 606

Group Theory

0410 - 608

Advanced Topics in Algebra

0410 - 610

Measure and Integration Theory

0410 - 610

Complex Analysis

0410 - 614

Operator Theory

0410 - 615

Functional Analysis

0410 - 616

q-Analysis

0410 - 617

Methods of Mathematical Physics

0410 - 618

Advanced Topics in Analysis

0410 - 623

Advanced Topics in Applied Mathematics

0410 - 625

Topology

0410 - 626

Algebraic Topology

0410 - 635

Advanced Topics in Geometry and Topology

0410 - 636

Graph Theory

0410 - 637

Theory of Linear Programming

0410 - 638

Advanced Topics in Discrete Mathematics

0410 - 650

Approximation and Optimization

0410 - 661

Numerical Solution of Partial Differential Equations

0410 - 668

Advanced Topics in Numerical Mathematics

c)

Graduate Courses from Outside Mathematics Graduate Program: (0-6credits)

 

With the consent and encouragement of the program committee, a student may include in the program of study up to 6 credit hours from 500 or 600-Level courses offered by other graduate programs within Kuwait University.

2.

Qualifying Examination

 

The student must submit to the College of Graduate Studies a request to sit  the Ph.D. qualifying examination. The request must be made just before or soon after the student completed the course-work requirement with a GPA not less than 3.00 out of scale A = 4.00.  

The qualifying examination structure for the Ph.D. program comprises three written examinations that are administered on three consecutive workweeks. Each examination is four-hour long and covers a specific area of mathematics. The student must choose the three area  from the following four areas: 

1.  Algebra

2.  Real Analysis

3.  Differential Equations

4.  Numerical Analysis 

The student passes the qualifying examination by passing all three examinations. Each exam will be graded in two categories, Ph.D. Level Pass, Ph.D. Level Fail. The student must achieve Ph.D. Level Pass on each examination in order to remain in the Ph.D. program. 

The examinations will cover materials  specified in the existing syllabi that are available with the Director of the Graduate Studies Programs of the department of Mathematics and Computer Science. Should the student fail any examination, there will be only one additional chance to pass that examination, which the student must take  in the same subject area.  The student should make the second attempt no later than the next regular semester.

3.

Major Topic

 

After the approval of the Ph.D. dissertation proposal, the academic supervisor will decide on a topic in the general field in which the student is writing a dissertation. The topic is referred to as "Major Topic." The Major Topic may be supportive of the planned dissertation topic, but should not have a narrow  focus. The specific and exact goal of the Major Topic is to provide the student with a good understanding of how his or her work fits into a larger picture. Therefore, one expects the student  to have an overview of the Major Topic's subject and his or her area of study and become familiar with all important work that has been done in both, and identify the particular problem(s) he or she proposes to work on.

Within one year of the selection of the Major Topic the student must submit a written report and give an oral presentation. The graduate program committee will form a committee of at least three members with the academic supervisor as the chair. This committee is in charge of studying the written report and coordinating the oral presentation. The written report should include

  1. A discussion of the relevant literature,

  2. The common or the critical methodology involved in the subject of the Major Topic, and

  3. A clear explanation of how the planed dissertation fits into the subject of the major topic.

 The oral presentation is public and should emphasize

  1. Particular problems the student attacked in relation to the dissertation, and some partial results, and

  1. How the dissertation will relate to the Major Topic's subject.

Questions and suggestions from the committee will follow the presentation. In order to pass, the committee must be convinced that the topic is genuine and the student is engaged in a meaningful research that is going to lead to a Ph.D. dissertation. Should the student fail, there will be one additional chance only to pass, otherwise the student is removed from the Ph.D. program. The second attempt must be made within a period of six months.

4.

Oral Defense of the Dissertation

 

After the student had completed the course-work requirement, passed the qualifying examination, completed the Major Topic and had written the dissertation, the advisor should notify the program committee that the student is ready for the final oral defense.  The College of Graduate Studies, in consultation with the Program Committee and the supervisor will select a suitable external examiner.  Copies of the dissertation will be sent to the external examiner at least one month before the scheduled date of the final oral defense. If the report of the external examiner is positive then the final oral defense proceeds as scheduled.

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