Semester
Paper code
Title
Learning outcome
I Semester
M101T
M102T
M103T
M104T
M105T
M105P
MSC1.1
Algebra I
Real Analysis
Topology I
Ordinary Differential Equations
Discrete Mathematics
Discrete Mathematics practical
Statistics
By the end of the semester, students will be able to:
- Understand and appreciate the power and beauty of abstract mathematics, a range of topics in real analysis.
- Demonstrate knowledge of the theory of topological spaces and its role within modern mathematics and be able to learn elementary Homotopy.
- Master elementary techniques for boundary value problems.
- Identify and use several mathematical models, (e.g. propositional logic, trees) including some of those underlying computing and information technology.
II Semester
M201T
M202T
M203T
M204T
M205T
M205P
MSC2.1
Algebra II
Complex Analysis
Functional Analysis
Partial Differential Equations
Numerical Analysis-I
Numerical Analysis-I practical
Number Theory
By the end of the semester, students will be able to:
- Apply (the proof of) Cauchy’s Theorem and Cauchy’s Integral Formula
- Elements of linear functional analysis including Banach and Hilbert spaces and linear operators between them, three basic principles, and applications to differential equations.
- Demonstrate knowledge and understanding of numerical methods to solve systems of linear equations, to compute quadratures and to solve Ordinary and Partial Differential Equations.
III Semester
M301T
M302T
M303T
M304T
M305T
M306P
MOE3.1
Differential Geometry
Fluid Mechanics
Topology II
Linear Algebra
Numerical Analysis II
Numerical Analysis II Practical
Open Electives Fundamentals of Mathematics
By the end of the semester, students will be able to:
- Understand how geometry techniques can be applied to mechanics and physics.
- Understand fundamental properties of matrices including determinants, inverse matrices, matrix factorisations, eigenvalues and linear transformations.
- Undertaking basic design calculations of fluid engineering systems.
- Student will have industry/ institution internship
IV Semester
M401T
M402T
M403T(A)
M403T(B)
M403T(C)
M404P
Measure and integration
Mathematical Methods
Riemannian Geometry
Magnetohydrodynamics
Finite element method with applications
Latex and Latex Beamer practical
Project work
By the end of the semester, students will be able to:
- Give an account of the construction of the Lebesgue integral and be able to use it.
- Be able to solve basic classical variational problems.
- Identify the MHD equations and derive the associated mass and momentum conservation equations.
- Describe the general steps used in the finite element analysis to model problems in engineering.