Mathematical Analysis and Advanced Topics (MATH7407)
Information valid for Semester 2, 2025
Course level
Postgraduate Coursework
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
In Person
Class hours
Lecture 3 Hours/ Week
Tutorial 1 Hour/ Week
3L:1T
Incompatible
MATH2401 (co-taught).
Prerequisite
Knowledge equivalent to MATH1071
Assessment methods
Quizzes, assignments, essay
Course enquiries
Professor Ole Warnaar (Semester 2, Regular, St Lucia, In person)
Prof Ole Warnaar
Current course offerings
| Course offerings | Location | Mode | Course Profile |
| Semester 2, 2025 (28/07/2025 - 22/11/2025) | St Lucia | In Person | Profile unavailable |
Please Note: Course profiles marked as not available may still be in development.
Course description
Sequences & series of real functions. Intermediate value theorem. Extreme value theorem. Taylor's theorem & error estimates. Criteria for integrability. Vector functions, continuity & differentials. Implicit & inverse function theorems & applications. Metric spaces: compactness, completeness, continuity, contraction mapping principle. Ascoli-Arzela theorem.
Archived offerings
| Course offerings | Location | Mode | Course Profile |
| Semester 2, 2024 (22/07/2024 - 18/11/2024) | St Lucia | In Person | Course Profile |
| Semester 2, 2023 (24/07/2023 - 18/11/2023) | St Lucia | In Person | Profile unavailable |
| Semester 2, 2023 (24/07/2023 - 18/11/2023) | External | External | Profile unavailable |
| Semester 2, 2022 (25/07/2022 - 19/11/2022) | St Lucia | Internal | Course Profile |
| Semester 2, 2022 (25/07/2022 - 19/11/2022) | St Lucia | External | Course Profile |
