Master of Science Degree in Mathematics

Departmental Regulations for the Master of Science Degree in Mathematics

1.0 Entrance Requirements

To be admitted to the Master’s Degree Programme in Mathematics, the applicant should have completed either the Single Major or Combined Major Degree Programme in Mathematics offered at this University or equivalent in-stitution and obtained at least a second class, second division, or an equivalent qualification.

2.0 Programme Structure

2.1 The Master of Science Degree Programme shall be offered on a full-time and/or part-time basis.

2.2 The Programme shall be offered in the modes as specified in General Regulation 40.12, which are, coursework only, coursework and Research Essay, or coursework and Dissertation.

2.3 Subject to General Regulation 41.5.1 the programme duration will normally be 4 semesters.

2.4 The Programme will consist of essentially two streams, Pure Mathematics and Applied Mathematics leading to an award of a Master of Science Degree in Mathematics.

3.0 Course Listings

3.1 Pure Mathematics streams

3.1.1 Pure Mathematics Course Work Only

Semester 1

Core Course

MAT 621 Advanced Mathematical Analysis

Optional Courses

MAT 601 Logic and Set Theory

MAT 623 Advanced Functional Analysis

MAT631 Geometry of Curves and Surfaces

MAT651 Mathematical Methods

Semester 2

Optional Courses

MAT 602 Coding Theory

MAT616 Lattice Theory

MAT 622 Orthogonal and Fourier Series

MAT632 Differential Geometry

MAT644 Calculus of Variation

Semester 3

Optional Courses

MAT611 Module Theory

MAT61 3 Commutative Rings

MAT615 Representation Theory of Groups

MAT633 Algebraic Topology I

MAT641 Ordinary Differential Equations

MAT649 Mathematical Software

Semester 4

Optional Courses

MAT 604 Ergodic Theory

MAT 606 Algebraic Number Theory

MAT 608 Advanced Topics in Pure Mathematics

MAT612 Homological Algebra

MAT61 4 Commutative Algebra

MAT634 Algebraic Topology II

3.1.2 Pure Mathematics Course Work and Research Essay

Semester 1

Core Course

MAT 621 Advanced Mathematical Analysis

Optional Courses

MAT 601 Logic and Set Theory

MAT611 Module Theory

MAT 623 Advanced Functional Analysis

MAT631 Geometry of Curves and Surfaces

MAT633 Algebraic Topology I

Semester 2

Optional Courses

MAT 602 Coding Theory

MAT 604 Ergodic Theory

MAT 606 Algebraic Number Theory

MAT 608 Advanced Topics in Pure Mathematics

MAT61 2 Homological Algebra

MAT61 4 Commutative Algebra

MAT616 Lattice Theory

MAT 622 Orthogonal and Fourier Series

MAT632 Differential Geometry

MAT634 Algebraic Topology 2

MAT644 Calculus of Variation

Semester 3

Optional Courses

MAT61 3 Commutative Rings

MAT615 Representation Theory of Groups

MAT641 Ordinary Differential Equations

MAT649 Mathematical Software

MAT651 Mathematical Methods

Semester 4

Optional Courses

MAT702 Research Essay

3.1.3 Pure Mathematics Course Work and Supervised Research and Dissertation

Semester1

Core Course

MAT 621 Advanced Mathematical Analysis

Optional Courses

MAT 601 Logic and Set Theory

MAT611 Module Theory

MAT61 3 Commutative Rings

MAT615 Representation Theory of Groups

MAT 623 Advanced Functional Analysis

MAT631 Geometry of Curves and Surfaces

MAT633 Algebraic Topology I

MAT641 Ordinary Differential Equations

MAT649 Mathematical Software

MAT651 Mathematical Methods
Semester 2

Optional Courses

MAT 602 Coding Theory

MAT 604 Ergodic Theory

MAT 606 Algebraic Number Theory

MAT 608 Advanced Topics in Pure Mathematics

MAT61 2 Homological Algebra

MAT61 4 Commutative Algebra

MAT616 Lattice Theory

MAT 622 Orthogonal and Fourier Series

MAT632 Differential Geometry

MAT644 Calculus of Variation

Semester 3 and 4

Optional Courses

MAT 700 Supervised Research and Dissertation

3.2 Applied Mathematics streams

3.2.1 Applied Mathematics Course Work only

Semester 1

Core Course

MAT 621 Advanced Mathematical Analysis

Optional Courses

MAT 623 Advanced Functional Analysis

MAT641 Ordinary Differential Equations

MAT643 Approximation Theory

MAT645 Numerical Linear Algebra

MAT651 Mathematical Methods

MAT675 Statistical Analysis of Reliability

Semester 2

Optional Courses

MAT642 Constrained Optimization

MAT644 Calculus of Variation

MAT652 Compressible Flow Theory

MAT654 Hydrodynamic Stability

MAT672 Bayesian Inferences

MAT676 Applied Stochastic Processes

Semester 3

Optional Courses

MAT647 Unconstrained Optimization

MAT649 Mathematical Software

MAT653 Computational Fluid Dynamics

MAT655 Viscous Flow Theory

MAT 661 Theory of Arbitrage in Stochastic Financial

MAT671 Multivariate Statistical Analysis

MAT673 Mathematical Statistics Computing I

Semester 4

Optional Courses

MAT646 Finite Element Methods

MAT648 Interval Iterative Methods

MAT656 Magnetohydrodynamics

MAT658 Stochastic Differential Equations

MAT662 Theory of Pricing in Stochastic Financial

MAT674 Mathematical Statistics II

3.2.2 Applied Mathematics Course Work and Research Essay

Semester 1

Core Course

MAT 621 Advanced Mathematical Analysis

Optional Courses

MAT 623 Advanced Functional Analysis

MAT641 Ordinary Differential Equations

MAT643 Approximation Theory

MAT645 Numerical Linear Algebra

MAT651 Mathematical Methods

MAT 661 Theory of Arbitrage in Stochastic Financial Models

MAT673 Mathematical Statistics Computing I

MAT675 Statistical Analysis of Reliability

Semester 2

Optional Courses

MAT642 Constrained Optimization

MAT644 Calculus of Variation

MAT646 Finite Element Methods

MAT648 Interval Iterative Methods

MAT652 Compressible Flow Theory

MAT654 Hydrodynamic Stability

MAT656 Magnetohydrodynamics

MAT658 Stochastic Differential Equations

MAT662 Theory of Pricing in Stochastic Financial

MAT672 Bayesian Inferences

MAT674 Mathematical Statistics II

MAT676 Applied Stochastic Processes

Semester 3

Optional Courses

MAT647 Unconstrained Optimisation

MAT649 Mathematical Software

MAT653 Computational Fluid Dynamics

MAT655 Viscous Flow Theory

MAT671 Multivariate Statistical Analysis

Semester 4

Optional Courses

MAT 702 Research Essay

3.2.3 Applied Mathematics Course Work and Supervised Research and Dissertation

Semester 1

Core Course

MAT 621 Advanced Mathematical Analysis

Optional Courses

MAT 623 Advanced Functional Analysis

MAT641 Ordinary Differential Equations

MAT643 Approximation Theory

MAT647 Unconstrained Optimization

MAT649 Mathematical Software

MAT651 Mathematical Methods

MAT653 Computational Fluid Dynamics

MAT655 Viscous Flow Theory

MAT 661 Theory of Arbitrage in Stochastic Financial Models

MAT671 Multivariate Statistical Analysis

MAT673 Mathematical Statistics Computing I

MAT675 Statistical Analysis of Reliability

Semester 2

Optional Courses

MAT642 Constrained Optimisation

MAT644 Calculus of Variation

MAT646 Finite Element Methods

MAT648 Interval Iterative Methods

MAT652 Compressible Flow Theory

MAT654 Hydrodynamic Stability

MAT656 Magnetohydrodynamics

MAT658 Stochastic Differential Equations

MAT662 Theory of Pricing in Stochastic Financial

MAT672 Bayesian Inferences

MAT674 Mathematical Statistics II

MAT676 Applied Stochastic Processes

Semester 3 and 4

Optional Courses

MAT 700 Supervised Research and Dissertation

4.0 Assessment and Progression

4.1 During the coursework, each of the graduate courses will be assessed by combining continuous assessment and a final examination in the ratio 1:1.

4.2 The regulations governing the supervised research and Dissertation shall be as specified in General Regulations 41.9-41.11. The Dissertation will be examined by an internal examiner and an external examiner, both of whom will be nominated by the Department.