__Class information:__

__Homework:__

- Hw 1 and solutions

- Hw 2 and solutions

- Hw 3 and solutions

- Hw 4 and solutions

- Note: In problems 1--6, every point in the domain of each function is a limit point. So to check continuity we just have to check that the limit of f(x) at c equal f(c). This is what I checked in the solutions.

- Typo: On problem 5 it says to set delta = epsilon / [ squareroot(a/2) + squareroot(a)]. This should be multiplication, not division. It should be this: epsilon * [squareroot(a/2) * squareroot(a)]

- Hw 5 and solutions

- Hw 6 and solutions (problem 7 solution is below)

- Problem 7 solution: part 1, part 2, part 3 (typo: it should say "for all n >= N" in the 2nd picture right after "where |a_n - L| < epsilon")

- Typo: Homework 6, problem 5(d) is false as it is stated. The solution I wrote for 5(d) is another way to answer 5(c). Instead, here is a revised problem to replace 5(d) with a solution written out: part 1, part 2, part 3.

- Hw 7 and solutions

__Test Solutions:__

__Past Tests:__

__My Notes (these are a little messy, but will give you an idea of what we will cover in class):__

- Part 1 - Real numbers, completeness axiom, and absolute value
- Part 2 - Limits of sequences
- Part 3 - Limits of functions
- Part 4 - Continuity (pages 41 and 42 will be a handout on the intermediate value theorem)
- Part 5 - Open and closed subsets of R (pages 47 and 48 will be handouts)
- Part 6 - Compactness (pages 56 and 57 will be handouts)
- Part 7 - Uniform continuity
- Part 8 - (if time we will sketch this for fun) Todd Kemp's notes on constructing R from Q using Cauchy sequence

__Fall 2018 Student Notes (Thank you Cynthia!):__