Mathematics Degrees

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Pre Requisite Courses :
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Applied Mathematics & Numerical Analysis

Pure Mathematics Each of these two areas consists of a number of fields of specialization PhD Admission Requirements

Applicants should have a Masters’s degree in Mathematics or a related field with a minimum GPA of 3.0 from an institution of acceptable standing. They should also meet the standards of performance in the GRE advanced test in mathematics and in the TOEFL as laid down by the College of Graduate Studies. Any deficiency in the mathematical background of a student must be removed within two semesters of admission into the graduate program.

PhD Degree Requirements
Each entering student will take an Entrance Examination.

Each Ph.D. student will complete a minimum of 30 credit hours of graduate level courses, in addition to his M.S. degree and deficiency courses. These courses are to be chosen such that

A minimum of 15 credit hours must be in one of the two major areas cited above. Of these, 12 must be in the student’s field of specialization.

A minimum of 6 credit hours must be taken in a minor field from outside the student’s chosen area

A minimum of 4 600-level courses in mathematics must be taken for credit.

After completion of most of his course work, a Ph. D. student will take a written Comprehensive Examination, covering certain basic areas of mathematics as well as areas related to his specialization.

Following this, the Ph. D. student will take an oral Comprehensive Examination designed to test the depth of his knowledge in his chosen field of concentration, particularly as related to his proposed dissertation research.

The student must submit and successfully defend a dissertation based on original and scholarly research done by him and judged to be a significant contribution to his area of specialization

The Department offers graduate programs leading to the degrees of Master of Science and Doctor of Philosophy. The diversity of graduate courses offered in the Department gives the student an opportunity to specialize in one of the several fields of pure mathematics, applied mathematics, numerical analysis, and mathematical statistics.

M. S. Admission Requirements
The applicant should have the equivalent degree of an undergraduate mathematics major of KFUPM. However, an applicant lacking an adequate undergraduate training may be admitted if recommended by the Graduate Committee, with the understanding that the courses work taken to remove the deficiency in the undergraduate training may not be credited towards the degree.
M. S. Degree Requirements
To complete the M.S. program, a candidate must:
Complete 24 credit hours, of which:
at least 18 credits must be in the Department of Mathematical Sciences,
a mximum of 6 credits at the 400 level can be counted.
Tak the seminar course Math 599 under the guidelines provided by the MS committee.
Prepare a thesis.
The following three are required courses for MS program:
Math 531 Real Analysis
Math 533 Complex Variables I
Math 550 Linear Algebra
The remaining courses are chosen by the student under the guidance of the academic advisor.

Department of Mathematics and Statistics is one of the largest departments of KFUPM with about 65 highly qualified faculty members in diverse areas of Mathematics and Statistics. Besides offering undergraduate and graduate programs in mathematics and statistics, it offers service courses to about 5000 students per semester from various disciplines.

The department has dynamic research groups carrying out individual research as well as collaborative research nationally and internationally.

Currently, students study the following modules shown below. King’s reviews its modules on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice.

Year 1
Eight core modules (six in Mathematics and two in Management).

Year 1 Core
Mathematics
Calculus I
Calculus II
Linear Methods
Probability & Statistics I
Numbers & Functions
Introduction to Abstract Algebra

Management
Economics
Organisational Behaviour

Year 2
Six core modules (six in Mathematics and two in Management) and two options in Mathematics.

Year 2 Core
Mathematics
Partial Differential Equations & Complex Variables
Applied Analytic Methods
Linear Algebra
Groups & Symmetries
Probability & Statistics II

Management
Marketing
Accounting

Year 2 Options
Mathematics
Analysis I OR Applied Analytic Methods
Discrete Mathematics

Year 3
Five core modules plus three options in Mathematics.

Year 3 Core
Mathematics
Financial Mathematics
Topics in Applied Probability Theory
Financial Markets

Management
Business Strategy
Human Resource Management

Year 3 Options
Mathematics
Geometry of Surfaces
Real Analysis II
Complex Analysis
Galois Theory
Logic
Mathematics Education & Communication
Non-Linear Dynamics
Mathematics Project
Chaotic Dynamics
Introduction to Linear Systems with Control Theory
Numerical Methods
History & Development of Mathematics
Rings and Modules
Introduction to Optimisation
Elementary Number Theory

The BSc in Mathematics with Management and Finance programme is designed for students who wish to study Mathematics at degree level, but also see their future in a managerial role especially in the finance sector. The mathematical element of the programme initially gives students a foundation
in all branches of mathematics, for example algebra, analysis, statistics, geometry, probability and mathematical methods, but focuses more on topics of specific relevance to financial mathematics in the third year.

The Management topics constitute about a quarter of the programme, and include accounting, marketing, economics, and human resource management. During the first year all students follow a set course of modules, but in subsequent years there is more opportunity to choose topics, and therefore tailor the degree to suit your interests.

Currently, students study the following modules shown below. King’s reviews its modules on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice.

Year 1
Eight core modules.

Year 1 Core
Calculus I
Calculus II
Geometry I
Introduction to Dynamical Systems
Linear Methods
Numbers & Functions
Probability & Statistics I
Introduction to Abstract Algebra

Year 2
Six core modules, plus two options.

Year 2 Core
Analysis I
Geometry of Surfaces
Groups & Symmetries
Intermediate Dynamics
Linear Algebra
Partial Differential Equations & Complex Variables

Year 2 Options
Discrete Mathematics
Elementary Number Theory
Probability & Statistics II

Year 3
Four core modules, plus four options from a wide range of courses.

Year 3 Core
Real Analysis II
Special Relativity and Electromagnetism
Complex Analysis
Introductory Quantum Theory

Year 3 Options
Topics in Mathematics
Numerical Methods
Galois Theory
Topology
Logic
Financial Mathematics
Linear Systems with Control Theory
History & Development of Mathematics
Rings and Modules
Mathematics Education & Communication
Introduction to Optimisation
Elementary Number Theory
Probability and Statistics II
Space-time Geometry and General Relativity

Year 4
Students undertake a substantial project, plus options, the most common of which are listed below.

Year 4 Core
MSci Project

Year 4 Options
Neural Networks
Manifolds
Applied Probability & Stochastics
Fourier Analysis
Lie Groups & Lie Algebras
Operator Theory
Point Particles & String Theory
Quantum Mechanics II
Quantum Field Theory
Basic Analysis
Mathematics Education and Communication
Algebraic Number Theory
Advanced General Relativity
Introduction to Supersymmetry

The MSci lays the foundations of advanced mathematics necessary for applications of, and research in, a rapidly growing subject. It is designed for students aiming at careers in which mathematics is used technically, including industrial and academic research and finance. It covers more ground than the BSc programme, and includes a substantial project to be completed in the fourth year.

Currently, students study the following modules shown below. King’s reviews its modules on a regular basis, in order to continue to offer innovative and exciting programmes and this list is therefore subject to change. Please check here for updates, or contact the School/department for further advice.

Year 1
Eight core modules.

Year 1 Core
Calculus I
Calculus II
Geometry I
Introduction to Dynamical Systems
Linear Methods
Numbers & Functions
Probability & Statistics I
Introduction to Abstract Algebra

Year 2
Six core modules, plus two options.

Year 2 Core
Analysis I
Geometry of Surfaces
Groups & Symmetries
Intermediate Dynamics
Linear Algebra
Partial Differential Equations & Complex Variables

Year 2 Options
Discrete Mathematics
Elementary Number Theory
Probability & Statistics II

Year 3
One core module and seven options from a wide range of modules. There is the possibility of specialising in applied or pure.

Year 3 Core
Real Analysis II OR Special Relativity and Electromagnetism

Year 3 Options
Introductory Quantum Theory
Complex Analysis
Financial Mathematics
Galois Theory
History & Development of Mathematics
Linear Systems with Control Theory
Space-time Geometry & General Relativity
Topology
Topics in Mathematics
Numerical Methods
Probability & Statistics II
Mathematics Education & Communication
Logic
Project Option
Elementary Number Theory
Rings & Modules
Introduction to Optimisation

The single honours programmes contain modules in all branches of Mathematics. In pure mathematics, there are core modules in algebra and analysis and also (a particular feature of Kings) in geometry, a subject which is increasingly important in both pure mathematics and in applications. On the applied side, there are core modules in applicable mathematics and mathematical methods, and also in dynamical systems and probability and statistics, as well as the algebra of symmetry. During the first year all students follow a set course of modules, but in subsequent years there is more opportunity to choose topics, and therefore tailor the degree to suit your interests.

The programme forms the ideal preparation for employment in commerce, industry or finance, where a high degree of numeracy and a well-developed ability to think logically are required.