Year
2018
Units
4.5
Contact
2 x 2-hour lectures weekly
Prerequisites
1 2 of MATH3702, MATH3711, MATH3712, MATH3731
2 Admission into MSCMT-Master of Science (Mathematics)
Must Satisfy: ((1) or (2))
Assessment
Assignments; Examination (55%).
Topic description
The topic comprises basics of Lebesgue integration, metric spaces, basic topology, compactness, Hilbert spaces, Banach spaces.
Educational aims
To provide an understanding of the underpinnings of advanced applied mathematics.
Expected learning outcomes
At the completion of this topic, students are expected to be able to:

  1. Understand the fundamental role of Lesbegue integration theory in advanced applied mathematics
  2. Understand and solve problems in the setting of general metric spaces
  3. Understand aspects of topology needed in advanced applied mathematics
  4. Understand and apply basic methods in Hilbert spaces and Banach spaces