| Week | Day | Topic | Reading | Assignments |
|---|---|---|---|---|
| Reminder | MAT 319 and MAT 320 follow the joint schedule through October 3 | |||
| Week 1 Aug 28-Sept 1 |
Tuesday | (1st-6th lecture by Prof. Ntalampekos) Sets and functions Induction |
1.11.2 | Homework 1 (Due Week 2) p. 10: 6, 15, 16, 22 p. 15: 1, 9, 16 p. 22: 3, 4, 12 |
| Thursday | Infinite sets | 1.3 | ||
| Week 2 Sept 4-8 |
Tuesday | Algebraic and order properties of the reals Absolute value on the reals |
2.1 2.2 |
Homework 2 (Due Week 3) p. 30: 7, 8, 26 p. 35: 2, 4, 17 p. 39: 4, 6, 11 |
| Thursday | Completeness of the reals | 2.3 | ||
| Week 3 Sept 11-15 |
Tuesday | Applications of the supremum | 2.4 | Homework 3 (Due Week 4) p. 44: 4, 7, 12, 13, 15 p. 52: 3, 5, 7, 9 |
| Thursday | Intervals | 2.5 | ||
| Week 4 Sept 18-22 |
Tuesday | (7th-10th lecture by Prof. Schul) Sequences and limits |
3.1 | Homework 4 (Due Week 5) p. 61: 5ab, 6, 8, 9, 10, 12 p. 69: 2, 5, 7 |
| Thursday | Limit theorems | 3.2 | ||
| Week 5 Sept 25-29 |
Tuesday | Monotone sequences | 3.3 | Homework 5 (Due Week 7) p. 77: 1, 7, 9 |
| Thursday | Monotone sequences | 3.3 | ||
| Week 6 Oct 2-6 |
Tuesday | Midterm I During lecture time |
Cumulative | Practice questions |
| Everything from here is for MAT 319 only. The website for MAT 320 is in this link. | ||||
| Thursday | Subsequences and the Bolzano-Weierstrass Theorem | 3.4 | ||
| Week 7 Oct 9-13 |
Tuesday | Fall Break No classes in session |
||
| Thursday | The Cauchy Criterion | 3.5 | Homework 6 (Due Week 8) p. 84: 1, 4(b), 11, 12 p. 91: 1, 2(a), 4, 5 |
|
| Week 8 Oct 16-20 |
Tuesday | Properly Divergent Sequences Infinite Series |
3.6 3.7 |
Homework 7 (Due Week 9) p. 93: 1, 2, 3 p. 100: 4, 6, 11, 12 |
| Thursday | Infinite Series Limits of Functions |
3.7 4.1 |
||
| Week 9 Oct 23-27 |
Tuesday | Limits of Functions | 4.1 | Homework 8 (Due Week 10) p. 110: 4, 6, 10(b), 15 p. 116: 4, 5, 9 |
| Thursday | Limit Theorems | 4.2 4.3 |
||
| Week 10 Oct 30-Nov 3 |
Tuesday | Continuous Functions | 5.1 5.2 |
Homework 9 (Due Week 12) p. 123: 4 p. 129: 7, 10, 11, 13 p. 140: 1, 4, 6, 17 |
| Thursday | Continuous Functions on Intervals | 5.3 | ||
| Week 11 Nov 6-10 |
Tuesday | Midterm II During lecture time |
Cumulative (with focus on material after Midterm I) |
Practice questions |
| Thursday | Continuous Functions on Intervals | 5.3 | ||
| Week 12 Nov 13-17 |
Tuesday | Uniform Continuity | 5.4 | Homework 10 (Due Week 14) p. 148: 2, 6, 7, 10 p. 170: 1(a)(c), 4, 8a p. 179: 3(c), 6, 13 |
| Thursday | The derivative | 6.1 | ||
| Week 13 Nov 20-24 |
Tuesday | The mean value theorem | 6.2 | |
| Thursday | Thanksgiving BreakNo classes in session | |||
| Week 14 Nov 27-Dec 1 |
Tuesday | L'Hospital's rules | 6.3 | Homework 11 (Due Week 15) p. 187: 5, 8, 11 p. 196: 4, 11 p. 206: 6(a), 8, 12 |
| Thursday | Taylor's theorem | 6.4 | ||
| Week 15 Dec 4-8 |
Tuesday | Riemann Integral | 7.1 | Practice Homework (not to turn in) p. 215: 8, 9, 12 |
| Thursday | Integrable functions | 7.2 | ||
| Dec 14 | Thursday | Final Exam
Thursday, December 14, 11:15am-1:45pm Classroom: Simons Center SCGP 103 |
Cumulative (with focus on material after Midterm II) | Practice questions |
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