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Postgraduate Studies

- 2021/03/03

The importance of scientific research:

Scientific research is very important in modern times. This importance stems primarily from the fact that the path of scientific research has proven to be the best solution to scientific and societal problems. The study of a random sample of a community or the study of a question in a scientific area may have applications to this community that benefit humanity and the scientific community. The relationship between countries and research institutions in the scientific research field is one of the most important reasons for the flourishing of scientific research in the modern era.

Also, the process of producing, graduating, training, and qualifying a generation of researchers, scientists, and inventors has directly contributed to enriching the scientific movement and increasing interest in this area. Supporting scientific and practical approaches that serve development in general, and sustainable development in particular, is one of the real reasons for the flourishing of the scientific and research movement and increasing interest in it.

The process of transforming scientific research into an important knowledge and economic product has contributed significantly to increasing the research culture and the ways to benefit from it.

The Department of Mathematical Sciences offers two postgraduate programs for master's and doctoral degrees.


Admission Requirements:

  1. Admission requirements for the program as stipulated in Articles 13 to 15 of the Unified Regulations for Postgraduate Studies of Saudi Universities and the Executive Rules at Umm Al-Qura University, and any other rules (regarding English language and the National Center for Measurement score) are subsequently attached by the University Council.
  2. Pursuant to Article 18 of the Unified Regulations for Graduate Studies at Universities in Saudi Arabia, the Mathematical Science Department requires:
  1. The candidate's bachelor's degree plan must correspond to the requirements of the bachelor's degree study plan in the Department of Mathematical Sciences at Umm Al-Qura University.
  2. If the previous condition is not met, the candidate must pass some supplementary courses that are determined by the Postgraduate Committee in the department, from the courses of the study plan for the bachelor's degree in the department. The candidate must successfully pass these courses in no more than three semesters. These courses must be evaluated in accordance with Article 18 of the Unified Regulations for Postgraduate Studies at Universities in Saudi Arabia.
  1. Postponement, deletion, withdrawal, any other cases, and additional opportunities are all as provided in Articles 21-31 of the Unified Regulations for Postgraduate Studies in Universities and their Executive Rules at Umm Al Qura University.

First: Master's Degree

Master's in Pure Mathematics

Master's in Applied Mathematics

Second: Doctorate Degree

Doctorate in Pure Mathematics

Doctorate in Applied Mathematics

Master's in Pure Mathematics

Level

Course Code

Course Name

Course Type

Prerequisite

Earned Hours

( Credit Hours)

First Level

4046401 -4

Clusters and Rings

Compulsory

404341 -3 + 404342-3

4

4046101 -4

Introduction to Functional Analysis

Compulsory

4044105 -3

4

4046601 -4

General Topological

Compulsory

404360 -3

4

First level total hours

12

Second Level

4046402 -4

Modules and Homological Algebra

Compulsory

4046401 -4

4

4046102 -4

Banach Algebra

Compulsory

4046101 -4

4

4046602 -4

Multi-Fold Differential Spaces

Compulsory

4046601 -4

4

Second level total hours

12

Third Level

4046411 -4

Regular group representation

Compulsory

4046402 -4

4

4046404 -4

Lie Algebra

Compulsory

4046402 -4

4

4046405 -4

Charting Theory

Elective

40464014

4

4046406 -4

Coding Theory

Elective

4046401 -4 + 4043404-3 + 4044407-3 + 4046402-4

4

4046407 -4

Algebra Coding

Elective

4044406 -3 + 4043404-4

4

4046103 -4

Operator Theory

Elective

4044105 -3 + 4046101-4

4

4046104 -4

Star-Algebra

Elective

4046101 -4

4

4046105 -4

Orthogonal Polynomials and Random Matrices

Elective

4042402 -4+403404-3+404210-3+434477-4

4

4046408 -4

Algebraic Number Theory

Elective

4046401 -4

4

4046413 -4

Homotopy Groups

Elective

4046402 -4

4

4046409 -4

Galois Theory

Elective

4046401 -4

4

4046412 -4

Standard Group Representation

Elective

4046411 -4 + 4046408-4

4

4046603 -4

Differential Geometry

Elective

4042601 -3

4

4046106 -4

Curves and Uniqueness

Elective

4042501 -4 + 4043404-3 + 4042601-3 + 4043403-3

4

4046107 -4

Introduction to Orthogonal Polynomials

Elective

--

4

4046200 -4

Reading and Research

Compulsory

--

4

Third level total hours

8

Fourth Level

__

__

__

__

__

Fourth level total hours

  

Seminar

1

Dissertation

16

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Program Admission Application

Master's in Applied Mathematics

Level

Course Code

Course Name

Course Type

Prerequisite

Earned Hours

( Credit Hours)

First Level

4046701 -4

Integral Equations

Compulsory

4044505 -3 + 4046702-4

4

4046501 -4

Calculation of Changes

Compulsory

Calculus of Several Variables

4

4046502 -4

Advanced Mathematical Methods 1(1)

Compulsory

-

4

First level total hours

12

Second Level

4046702 -4

Introduction to Flexibility

Compulsory

Continuum Mechanics

4

4046503 -4

Introduction to Biological Mathematics

Compulsory

---

4

4046703 -4

Numerical Solutions of Differential Equations 1(1)

Compulsory

Numerical Analysis + Partial Differential Equations

4

Second level total hours

12

Third Level

4046704 -4

Advanced Fluid Mechanics 2(2)

Elective

Fluid Mechanics +Continuum Mechanics

4

4046504 -4

Introduction to Special Relativity

Elective

Continuum Mechanics

4

4046505 -4

Advanced Mathematical Methods 2(2)

Elective

Advanced Mathematical Methods(1)

4

4046705 -4

Introduction to Magnetic Fluid Dynamics

Elective

Continuum Mechanics

4

4046706 -4

Flexibility Applications

Elective

4046702 -4 + Continuum Mechanics

4

4046707 -4

Numerical Analysis 2(2)

Elective

4045703 -4

4

4046708 -4

Convergence Theory

Elective

--

4

4046700 -4

Reading and Research

Elective

--

4

Third level total hours

8

Fourth Level

__

__

__

__

__

Fourth level total hours

  

Seminar

1

Dissertation

16

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Program Admission Application

Doctorate in Pure Mathematics

Level

Course Code

Course Name

Course Type

Prerequisite

Earned Hours

( Credit Hours)

First Level

4047401 -4

Lie Algebra

Compulsory

--

4

4047101 -4

Topological Vector Space

Compulsory

--

4

4047601 -4

Riemann Engineering

Compulsory

--

4

First level total hours

12

Second Level

4047402 -4

Commutative Algebra

Compulsory

4046402 -4

4

4047102 -4

Advanced Complex Analysis

Compulsory

4046602 -4

4

Second level total hours

8

Third Level

4047403 -4

Representation Theory 1(1)

Elective

4046411 -4,4046412 -4,4046413 -4

4

4047405 -4

Infinite-Dimensional Lie Algebra 1(1)

Elective

4047401 -4

4

4047407 -4

Mold Theory(1)

Elective

4046412 -4

4

4047409 -4

Partial Sub-Systemic Cliques

  

4046401 -4

  

4047103 -4

Algebra van Neumann

Elective

4046101 -4-,4046103 -4

4

4047105 -4

Approximation Theory

Elective

  

4

4047107 -4

Curves and Uniqueness

Elective

---

4

4047603 -4

Differential Topology

Elective

4046602 -4,4046603 -4

4

Third level total hours

8

Fourth Level

4047404 -4

Representation Theory 2(2)

Elective

4047403 -4

4

4047406 -4

Infinite-Dimensional Lie Algebra (2)

Elective

4047401 -4

4

4047408 -4

Mold Theory 2(2)

Elective

4047407 -4

4

4047410 -4

Locally Nilpotent and Solvable Groups

Elective

4046401 -4,4047409 -4

4

4047104 -4

Local Spectrum Theory

Elective

4046101 -4,4046103 -4

4

4047106 -4

Introduction to Distribution Theory and Fourier Analysis

Elective

4046601 -4

4

4047108 -4

Singularities of Reflections and Ripples

Elective

4047107 -4

4

4047604 -4

Algebraic Topology

Elective

4046601 -4

4

4047200 -4

Reading and Research

Compulsory

----

4

Fourth level total hours

12

Seminar

2

Dissertation

12
 

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Program Admission Application

Doctorate in Applied Mathematics

Level

Course Code

Course Name

Course Type

Prerequisite

Earned Hours

( Credit Hours)

First Level

4047701 -4

Fluid Mechanics (2)

Compulsory

---

4

4047702 -4

Tensor Calculus and Special Relativity

Compulsory

---

4

4047703 -4

Numerical Solutions of Differential Equations 2(2)

Compulsory

---

4

First level total hours

12

Second Level

4047704 -4

Flexibility

Compulsory

4046702 -4

4

4047705 -4

Magnetic Fluid Mechanics

Compulsory

4047701 -4

4

Second level total hours

8

Third Level

4047707 -4

Advanced Numerical Analysis(1)

Elective

4046703 -4,4047703 -4

4

4047709 -4

Tensor Analysis

Elective

---

4

4047711 -4

Hydrodynamic Stability 1(1)

Elective

4047701 -1

4

4047501 -4

Biological Mathematics 1(1)

Elective

4046503 -4

4

Third level total hours

8

Fourth Level

4047708 -4

Advanced Numerical Analysis 2(2)

Elective

4046703 -4,4047703 -4,4047707 -4

4

4047710 -4

General Theory of Relativity

Elective

4047709 -4

4

4047712 -4

Hydrodynamic Stability 2(2)

Elective

4047701 -4

4

4047502 -4

Biological Mathematics 2(2)

Elective

4046503 -4,4047501 -4

4

4047700 -4

Reading and Research

Compulsory

---

4

Fourth level total hours

12

Seminar

2

Dissertation

12
 

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Program Admission Application

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