Week | Lecture | Date | Topic | Reading | ||
---|---|---|---|---|---|---|

Week 1 | 1A | Aug 26 | Complex Numbers | Appendix H | ||

1B | Aug 28 | Functions. Operations and Properties | §1.1,1.2 | |||

1C | Aug 30 | Classes of Functions, Limits: Intuition and Definition | §1.2,1.3,§2.4 | |||

Week 2 | =-=-=-= Labor Day =-=-=-= | |||||

2B | Sep 4 | Limits of Sequences. One-sided Limits. Limits at ∞. Squeeze Theorem. | §2.2,2.3 | |||

2C | Sept 6 | Limit Laws. Asymptotic Expansions. | §2.4, 2.6 | |||

Week 3 | 3A | Sept 9 | Continuity. Limits of Continuous Functions. Mean ValueTheorem | §2.5, 4.2 | ||

3B | Sept 11 | Differentiation. Leibnitz Rule. | §3.1–3.4 | |||

3C | Sept 13 | l’Hopital Rule. Chain Rule | §3.5, 3.6, 3.10 | |||

Week 4 | 4A | Sept 16 | Review for Exam… | |||

First Midterm is on Sept 17 | ||||||

4B | Sept 18 | Implicit Differentiation, Related Rates | §3.7,3.8 | |||

4C | Sept 20 | Exponential Growth. Mean Value Theorem | §3.9, 4.2 | |||

Week 5 | 5A | Sept 23 | Extreme Values, Max/Min | §4.1, 4.2, 4.7 | ||

5B | Sept 25 | Area, Riemann sums | §4.5, 4.7 | |||

No Lecture on Sept 27 due to First Midterm | ||||||

Week 6 | 6A | Sept 30 | Fundamental Theorem of Calculus | § 5.1, 5.2 | ||

6B | Oct 2 | Indefinite Integrals, u-sub, Integration By Parts | §5.3, 5.4 | |||

6C | Oct 4 | Trig Integrals | §5.4, 5.5 | |||

Week 7 | 7A | Oct 7 | Trigonometric Substitutions | §7.1 | ||

7B | Oct 9 | Partial Fractions | §7.2 | |||

7C | Oct 11 | Improper Integrals | §7.3,7.4 | |||

Week 8 | 8A | Oct 14 | Review for Exam | |||

Second Midterm is on Oct 15 | ||||||

8B | Oct 16 | More improper integrals. Volume |
§7.8, §6.1, 6.2 | |||

No Lecture on Oct 18 due to Second Midterm | ||||||

Week 9 | 9A | Oct 21 | More Volume. Work, Average. | §6.3, 8.1 | ||

9B | Oct 23 | Arc Length, | §8.2,3 | |||

9C | Oct 25 | Surface Area | §8.4 | |||

Week 10 | 10A | Oct 28 | Series. Integral Test | §11.2,3 | ||

10B | Oct 30 | Direct Comparison Test. | §11.4 | |||

10C | Nov 1 | Limit Comparison Test. | §11.4 | |||

Week 11 | 11A | Nov 4 | Alternating Series | §11.5 | ||

11B | Nov 6 | Absolute Convergence, Tests | §11.6 | |||

11C | Nov 8 | Power Series | §11.8 | |||

Week 12 | 12A | Nov 11 | Review For Exam | |||

Third Midterm is on Nov 12 | ||||||

12B | Nov 13 | Representing functions as Power Series | §11.10 | |||

12C | Nov 15 | Taylor Series | ||||

Week 13 | 13A | Nov 18 | Parametric Curves | §10.1, §10.2 | ||

13B | Nov 20 | Parametric Calculus | §10.3 | |||

No Lecture on Nov 22 due to Third Midterm | ||||||

Week 14 | 14A | Dec 2 | Polar Curves | §10.4 | ||

14B | Dec 4 | Polar Calculus | §10.4 | |||

14C | Dec 6 | Differential Equations, Direction fields, Euler, Picard | §9.1,2 | |||

Week 15 | 15A | Dec 9 | Separable Equations | §9.3 | ||

15B | Dec 11 | Review For Final |

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