Weekly Plan

 

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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