Chapter 1
1.1 Sets and Numbers
- Lecture 1 - 1.1 Sets and Numbers (complimentary written notes: ACIT4330-2025-01-06-Lecture 1.rnote)
- Lecture 2 (complimentary written notes: ACIT4330-2025-01-09-Lecture 2.rnote)
- Lecture 3
- The Inverse Image and Complex Numbers.
1.2 Metric Spaces
Chapter 2
2.1 Topology
- Lecture 6 - 2.1 Topology
- Lecture 7 (complimentary written notes: ACIT4330-2025-01-30-Lecture 7.rnote)
- Lecture 8
2.2 Continuity
Measure Theory
Complex Analysis
- Lecture 18 - Complex Analysis
- Lecture 19 - Derivatives
- Lecture 20 - Complex Exponential, Logarithm, and Powers
- Lecture 21 - Integration, Antiderivatives, Homotopies
- Lecture 22 - Cauchy’s theorem and Cauchy’s Integral Formula
- Last Lecture - Residue Theorem