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MATH3611 Higher Analysis

This website servers as a platform to host my lecture notes and tutorial problems for MATH3611 Higher Analysis in 2025T2 @ UNSW. In this iteration, the course was taught by Dr Denis Potapov.

Compiled pages are published at https://jeremyle56.github.io/course-notes/math3611/.

This course goes through the following topics:

  1. Cardinality
  2. Metric Spaces
  3. Sequences of Series and Functions
  4. Topological Spaces
  5. Compactness and Connectedness

There will no doubt be typos, errors and inaccuracies scattered throughout these notes as I am student learning the content for the first time. If you come across any of these, please feel free to reach out and correct me. You can do so by creating a pull-request or an issue detailing the corrections. If in doubt --- look up a proper textbook (the recommended textbook for this course is Kolmogorov and Fomin's "Introductory Real Analysis").

Ian Doust Course Notes (2022)