Date |
Topics |
Sections |
Event |
Week 1 |
01-04 |
Real Numbers |
WR 1.4 |
Read Section 1.1-1.3 and Suppl0 |
01-06 |
Complex numbers |
WR 1.5-1.6 |
Read Section 1.5 |
01-08 |
Euclidean spaces |
WR 1.7 and Suppl1 |
|
Week 2 |
01-11 |
Review and catch-up |
|
Read Appendix |
01-13 |
Counting I |
WR 2.1 |
HW 1 due |
01-15 |
Counting II |
WR 2.1 |
|
Week 3 |
01-18 |
Happy Holiday |
Happy Holiday |
Happy Holiday |
01-20 |
Metric and Topology |
WR 2.2 |
HW 2 due; Read Propositions/ Theorems 2.17, 2.19. 2.30. |
01-22 |
Compactness I |
WR 2.3 |
|
Week 4 |
01-25 |
Compactness II and the Rest |
WR 2.3-2.5 |
|
01-27 |
Review and Catch-up |
|
HW 3 due |
01-29 |
Midterm I |
Midterm I |
|
Week 5 |
02-01 |
Convergence |
WR 3.1-3.2 |
Read Theorem 3.3 |
02-03 |
Completeness |
WR 3.3-3.4 |
HW 4 due, Read Sections 3.4-3.5 |
02-05 |
Series I |
WR 3.6-3.7 |
Read Propositions/Theorems 3.24, 3.25 |
Week 6 |
02-08 |
Series II |
WR 3.7-3.8 |
Read Suppl2 and understand as much as you can |
02-10 |
Series III |
WR 3.10 |
Read Section 3.9, especially Theorem 3.33, 3.34 |
02-12 |
Series IV |
WR 3.11-3.12 |
Read Theorem 3.47 |
Week 7 |
02-15 |
Happy Holiday |
Happy Holiday |
Happy Holiday |
02-17 |
Series V |
WR 3.13-3.14 |
HW 5 due |
02-19 |
Review and catch-up |
Suppl3, if time allowed |
Read Suppl3 |
Week 8 |
02-22 |
Midterm II |
Midterm II |
|
02-24 |
Continuous functions |
WR 4.2 |
HW 6 due; Read Section 4.1 |
02-26 |
Compactness and functions |
WR 4.3 |
Read Theorem 4.4, 4.9, 4.10 |
Week 9 |
03-01 |
Connectedness and continuous functions |
WR 4.4 |
Read Section 4.5 |
03-03 |
Monotonicity |
WR 4.6 |
HW 7 due; Read Section 4.7 |
03-05 |
Review and Catch-up |
Review and Catch-up |
|
Week 10 |
03-08 |
Derivatives |
WR 5.1 |
Read Proposition/Theorem 5.3, 5.10 |
03-10 |
Mean value |
WR 5.2 |
HW 8 due |
03-12 |
Computing |
WR 5.3-5.5 |
Read Sections 5.6-5.7 during the break |