ACIT4330 Lecture Notes

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

• Lecture 4 - 1.2 Metric Spaces
• Lecture 5

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

• Lecture 8
• Lecture 11
• Lecture 12 - Induced Topologies

Measure Theory

• Lecture 13 - Measure Theory
• Lecture 14
• Lecture 15
• Lecture 16
• Lecture 17 - Lp Spaces

Complex Analysis

• Lecture 18 - Complex Analysis
• Lecture 19 - Derivatives
• Last Lecture - Residue Theorem