Semester 2: MATH3606 Differential Equations 2
This course introduces the theory of partial differential equations (PDEs) that model physical processes in scientific and engineering contexts. Solution techniques such as separation of variables, Green’s functions, Fourier transform and method of characteristics will be used to solve a variety of linear and nonlinear partial differential equations.
Semester 2: MATH3416 Complex Analysis
This course provides an up-to-date introduction to the basic theory of analytic functions of one complex variable. Cauchy's theorems and formulas, Residue Theorem and its applications to the evaluation of integrals will be the main objectives. Also conformal mappings and their applications will be discussed.
Semester 1: MATH3206 Scientific Computing 1
This introductory course presents students with the concepts in linear algebra such as vectors, matrices, eigenvalues, eigenvectors, and factorizations. Emphasis is given to how these are used in practical applications such as computer graphics, machine learning and pattern recognition. Practical examples with various software packages and scripting languages will be used to supplement the theoretical concepts.