--- title: 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]]) - [[Lectures/Lecture 2|Lecture 2]] (complimentary written notes: [[ACIT4330-2025-01-09-Lecture 2.rnote]]) - [[Lectures/Lecture 3|Lecture 3]] - [[Lecture 4 - 1.2 Metric Spaces#The Inverse Image]] and [[Lecture 4 - 1.2 Metric Spaces#Complex Numbers]]. ## 1.2 Metric Spaces - [[Lecture 4 - 1.2 Metric Spaces]] - [[Lectures/Lecture 5|Lecture 5]] # Chapter 2 ## 2.1 Topology - [[Lecture 6 - 2.1 Topology]] - [[Lecture 7]] (complimentary written notes: [[ACIT4330-2025-01-30-Lecture 7.rnote]]) - [[Lectures/Lecture 8|Lecture 8]] ## 2.2 Continuity - [[Lectures/Lecture 8|Lecture 8]] - [[ACIT4330/Lectures/Lecture 11|Lecture 11]] - [[Lecture 12 - Induced Topologies]] # Measure Theory - [[Lecture 13 - Measure Theory]] - [[Lecture 14]] - [[Lecture 15]] - [[Lecture 16]] - [[Lecture 17 - Lp Spaces]]