Additional materials for MATH1901 lectures

Week 1

Set notation and the notation \( (-\pi,\pi] \) which was used to define the principal argument Arg(z) is explained here.

Week 2

Notes from Lecture 1

Notes from Lecture 2

Visualising complex functions using animation: here

Week 3

Notes from Lecture 1

Notes from Lecture 2

Week 4

Notes from Lecture

Applet for understanding the formal definition of a limit

Week 5

Notes from Lecture 1

Notes from Lecture 2

Timothy Gowers on the meaning of continuity

Week 6

Bill Thurston's essay On proof and progress in mathematics

Notes from Lecture 1

Notes from Lecture 2

Week 7

Notes from Lecture

Timothy Gowers on What is the point of the Mean Value Theorem?

Week 8

Notes from Lecture 1

Notes from Lecture 2

Week 9

Notes from Lecture 1

Animation of horizontal cross-sections (called traces in the text), level curves, the directional derivative and the gradient vector: here

Notes from Lecture 2

Week 10

Notes from Lecture 1

Notes from Lecture 2

Week 11

Notes from Lecture 1

Notes from Lecture 2

Week 12

Notes from Lecture 1

Notes from Lecture 2

Notes on differentiability of functions of 2 variables (not on exam).

Week 13

Notes from Revision Lectures