Class information:
- syllabus goes here...
Homework:
- Hw 1 and solutions
- Hw 2 and solutions
Here is an alternative solution to problem 7 from HW 2.
- Hw 3 and solutions
- Hw 4 and solutions
- Hw 5 and solutions
- Hw 6 and solutions
- Hw 7 and solutions
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
- Part 5 - Open and closed subsets of R (pages 47 and 48 will be handouts)
Addition to the notes: Another way to do open sets that we did in class: picture 1, picture 2 - 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!):