Syllabus:
Study guides:
- Test 1 study guide
- Test 2 study guide
- The final will be a cumulative exam covering the material from test 1 and test 2.
Test solutions:
- I will put the test solutions here.
My notes: These are the notes that I'm using to teach the class.
The notes for each day of class will be put into the calendar
below that has the schedule.
- Topic 1 - Properties of the real numbers
- Topic 1a (optional) - Derivation of real number properties
- Topic 2 - Sequences
- Topic 2a (optional) - Application to calculating square roots
- Topic 3 - Infinite series
- Topic 4 - Limits of functions
- Topic 5 - Continuity
- Topic 6 - Uniform continuity
- Topic 7 - Dedekind cuts (this will be a handout)
More on Dedekind cuts:
- Todd Kemp's handout on the construction of the real numbers using Cauchy sequences.
- Here's an outline on constructing the real numbers via Dedekind cuts.
Homework:
HW 1 | |
HW 2 | |
HW 3 | |
HW 4 | |
HW 5 |
Schedule and lecture notes:
week | Monday | Wednesday |
1 | 8/20 - lecture notes | |
2 | 8/25 - lecture notes | 8/27 - lecture notes |
3 | 9/1 - HOLIDAY | 9/3 - lecture notes |
4 | 9/8 - lecture notes | 9/10 - lecture notes |
5 | 9/15 - lecture notes | 9/17 - lecture notes |
6 | 9/22 - lecture notes | 9/24 - lecture notes |
7 | 9/29 - lecture notes | 10/1 - lecture notes |
8 | 10/6 - lecture notes | 10/8 - lecture notes |
9 | 10/13 - lecture notes | 10/15 - TEST 1 |
10 | 10/20 - lecture notes | 10/22 - lecture notes |
11 | 10/27 - lecture notes | 10/29 - lecture notes |
12 | 11/3 - lecture notes | 11/15 - lecture notes |
13 | 11/10 - lecture notes | 11/12 - lecture notes |
14 | 11/17 - lecture notes | 11/19 - TEST 2 |
Thanksgiving break | 11/24 - HOLIDAY | 11/26 - HOLIDAY |
15 | 12/1 - lecture notes | 12/3 - lecture notes |
Finals week | 12/8 FINAL EXAM 2:30 pm - 4:30 pm | 12/10
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