Semester 1: MATH4606 Functional Analysis
This course introduces the basic concepts, principles and methods of functional analysis and its applications. The notions of metric spaces, fixed point theorems, Banach spaces, Hilbert spaces, continuous linear operator and applications of the above topics will be explored.
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.