| Week | Day | Topic | Reading | Assignments |
|---|---|---|---|---|
| Week 1 Aug 22-26 |
MAT 319 and MAT 320 follow the joint schedule through September 22 | |||
| Tuesday | (Lecture by Prof. Hough) Sets and functions Induction |
1.11.2 | Homework 1 (Due Aug 31) p. 10: 6, 15 p. 15: 1, 9, 18 p. 22: 4, 12 p. 31: 9, 21, 26 |
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| Thursday | (Lecture by Prof. Ntalampekos) Infinite sets Algebraic and order properties of the reals |
1.32.1 | ||
| Week 2 Aug 29-Sept 2 |
Tuesday | (Lecture by Prof. Hough) Absolute value on the reals Completeness of the reals |
2.2 2.3 |
Homework 2 (Due Sept 7) p. 35: 2,4,17 p. 39: 4, 6, 11 p. 44: 4, 12, 13 |
| Thursday | (Lecture by Prof. Ntalampekos) Applications of the supremum |
2.4 | ||
| Week 3 Sept 5-9 |
Tuesday | (Lecture by Prof. Hough) Intervals Sequences and limits |
2.5 3.1 |
Homework 3 (Due Sept 14) p. 52: 3, 6 p. 61: 5, 11, 12 p. 69: 6, 13, 14 p. 77: 9, 10 |
| Thursday | (Lecture by Prof. Ntalampekos) Limit theorems Monotone sequences |
3.2 3.3 |
||
| Week 4 Sept 12-16 | Tuesday | (Lecture by Prof. Hough) Subsequences and Bolzano-Weierstrass |
3.4 |
Homework 4 (Due Sept 21) p. 84: 3, 18, 19 p. 91: 4, 6, 10, 13 p. 93: 1, 6, 10 |
| Thursday | (Lecture by Prof. Ntalampekos) The Cauchy criterion, divergent sequences |
3.5 3.6 |
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| Week 5 Sept 19-23 |
Tuesday | (Lecture by Prof. Hough) Infinite series |
3.7 | |
| Thursday | Midterm I During lecture time |
Cumulative (Everything up to Tuesday, September 20) |
Practice exams from previous semesters:
Practice midterm 1 (Solutions) Practice midterm 2 (with Solutions) Practice midterm 3 (Solutions) Practice midterm 4 (Solutions) |
|
| Everything from here is for MAT 319 only. The website for MAT 320 is in this link. | ||||
| Week 6 Sept 26-30 |
Tuesday | Limits of functions | 4.1 | Homework 5 (Due Oct 5) p. 100: 5, 9 p. 110: 7, 12d, 15 p. 116: 5, 9 |
| Thursday | Limit theorems | 4.2 4.3 |
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| Week 7 Oct 3-7 |
Tuesday | Continuous functions Combinations of continuous functions |
5.1 5.2 |
Homework 6 (Due Oct 12) p. 123: 2, 4 p. 129: 3, 5, 11 p. 133: 3, 5 |
| Thursday | Continuous functions on intervals | 5.3 | ||
| Week 8 Oct 10-14 |
Tuesday | Fall Break No Classes in Session |
Homework 7 (Due Oct 19) p. 133: 7, 8 p. 140: 1, 3, 4, 6, 13 |
|
| Thursday | Continuous functions on intervals | 5.3 | ||
| Week 9 Oct 17-21 |
Tuesday | Uniform continuity | 5.4 | Homework 8 (Due Nov 2) p. 140: 17 p. 148: 2, 6, 7, 10 p. 160: 1, 11 |
| Thursday | Monotone and inverse functions | 5.6 | ||
| Week 10 Oct 24-28 |
Tuesday | Review | ||
| Thursday | Midterm II During lecture time |
Cumulative (with focus on material after Midterm I) |
Practice exams from previous semesters: Practice midterm 1 (with Solutions) Practice midterm 2 (with Solutions) Practice midterm 3 |
|
| Week 11 Oct 31-Nov 4 |
Tuesday | The derivative | 6.1 | Homework 9 (Due Nov 9) p. 170: 1ac, 4, 8a p. 179: 1d, 6, 13 |
| Thursday | The mean value theorem | 6.2 | ||
| Week 12 Nov 7-11 |
Tuesday | Applications of the mean value theorem | 6.2 | Homework 10 (Due Nov 16) p. 179: 3c, 11, 12 p. 187: 5, 8, 11 |
| Thursday | L'Hospital's rules | 6.3 | ||
| Week 13 Nov 14-18 |
Tuesday | Taylor's theorem | 6.4 | Homework 11 (Due Nov 30) p. 196: 4, 11, 14c p. 206: 6a, 8, 12 |
| Thursday | Applications of Taylor's theorem | 6.4 | ||
| Week 14 Nov 21-25 |
Tuesday | Riemann Integral | 7.1 | |
| Thursday | Thanksgiving BreakNo classes in session | |||
| Week 15 Nov 28-Dec 2 |
Tuesday | Integrable functions | 7.2 | Homework 12 (Optional) p. 215: 8, 9, 12 |
| Thursday | The fundamental theorem of Calculus | 7.3 | ||
| Dec 13 | Tuesday | Final Exam
Tuesday, December 13, 2:15-5:00pm SB Union 103-02 |
Cumulative | Practice exams from previous semesters: Practice final (Solutions) |
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