Calculus I

SCHEDULE & HOMEWORK

Week Topic Problems

1 Aug 18: Trig Review 1.4 #6, 7, 8, 9, 11, 13, 19, 20, 21, 31, 33.

Aug 20: Inverse Functions 1.5 #4, 5, 16, 39, 41, 43.

Aug 21: Exponential Functions 1.6 #1, 4, 6, 9, 10, 27.

Aug 22: Logarithmic Functions 1.6 #20, 21, 23, 29, 36.

2 Aug 25: Limits 2.2 #2, 8, 9, 10.

Aug 27: Limits 2.2 #11, 13, 19, 21, 27, 31, 38, 40.

Aug 28: Limit Laws 2.3 #7, 13, 16, 21, 24-29, 31.

Aug 29: Infinite Limits 2.2 #45, 47, 49, 50.

3 Sep 1: Holiday

Sep 3: Continuity 2.4 #1, 12, 17, 29, 59-77 odd, 83, 86.

Sep 4: Algebraic Evaluation 2.5 #5, 7, 8, 17, 19, 20, 27, 30.

Sep 5: Squeeze Theorem 2.6 #3, 6, 7.

4 Sep 8: Trigonometric Limits 2.6 #11, 42.

Sep 10: IVT 2.7 #1, 2, 5, 7, 15, 26.

Sep 11: Formal Limits; Review 2.8 #4, 26.

Sep 12: Test 1

5 Sep 15: Derivative Definitions 3.1 #3, 4, 10, 23, 29, 39, 44..

Sep 17: Derivatives of Polynomials 3.2 #3, 5, 7, 11, 15, 17, 19, 23, 29, 31, 34.

Sep 18: Geometry of Derivatives 3.2 #47, 53, 55, 57.

Sep 19: Derivatives of Exponentials 3.2 #21, 35, 37.

6 Sep 22: Product Rule 3.3 #3, 4, 13, 18, 30.

Sep 24: Quotient Rule 3.3 #9, 12, 16, 19, 27, 49-52.

Sep 25: Higher Derivatives 3.5 #3, 5, 7, 17, 23, 25, 26, 49.

Sep 26: Trig Functions 3.6 #1, 4, 5, 9, 17, 27, 33, 37, 39, 40, 41, 44.

7 Sep 29: Chain Rule 3.7 #5-8, 15-34.

Oct 1: Chain Rule 3.7 #35-68, 83-86, 90.

Oct 2: Implicit Differentiation 3.8 #2, 9, 11, 17, 19, 21, 23, 25.

Oct 3: Implicit Differentiation 3.8 #29, 32, 33, 35, 45, 46.

8 Oct 6: Inverse Functions 3.9 #3, 5, 7, 9, 11, 15, 22, 24, 25, 39.

Oct 8: Exponentials and Logs 3.10 #1, 2, 3, 9, 11, 35, 36, 43.

Oct 9: Review

Oct 10: Test 2

9 Oct 13: Extreme Values 4.2 #1, 3, 7, 11, 15, 23, 35, 39, 43, 52, 53, 70.

Oct 15: Extreme Values

Oct 16: First Derivative Test 4.3 # 19, 21, 25, 33, 43, 48.

Oct 17: Rolle's Theorem 4.2 #63, 68, 69; 4.3 #2, 54.

10 Oct 20: MVT 4.3 #2, 54.

Oct 22: Concavity 4.4 #1, 2, 7, 9, 11, 13, 15, 17, 22.

Oct 23: Second Derivative Test 4.4 #37, 39, 41, 42, 43, 45, 47, 49.

Oct 24: Graph Sketching 4.5 #7, 9, 13, 17, 21, 25, 29.

11 Oct 27: Asymptotes 4.5 #33, 52, 53, 57, 67, 65, 71.

Oct 29: Applied Optimization 4.6 #7, 9, 11, 13, 16.

Oct 30: Applied Optimization 4.6 #28, 35a, 50, 59.

Oct 31: L'Hopital's Rule 4.7 #1, 5, 9, 11, 14, 15.

12 Nov 3: L'Hopital's Rule 4.7 #19, 23, 29, 35, 40, 47.

Nov 5: Antiderivatives 4.9 #3, 5, 7, 8, 25, 29, 31, 36.

Nov 6: Antiderivatives 4.9 #63-70.

Nov 7: Review Review #19, 21, 23, 25, 27, 29, 31, 33, 37, 39, 41, 43, 61, 63, 72, 93, 95, 97, 99, 109, 111.

13 Nov 10: Test 3

Nov 12: Approximating Area 5.1 #13, 17.

Nov 13: Computing Area 5.1 #56, 61, 65.

Nov 14: The Definite Integral 5.2 #2, 7, 28.

14 Nov 17: The Definite Integral 5.2 #3, 11, 40, 51, 58, 61, 64, 65, 76.

Nov 19: FTC, Version II 5.4 #1, 3, 7, 19, 21, 27, 28, 34.

Nov 20: FTC, Version I 5.3 #7, 9, 10, 15, 19, 21, 22, 31, 33, 37, 40, 47, 49, 51.

Nov 21: FTC, Version I

15 Nov 24: Summary Exam Review
Chapter 5 Review: #5 (R6 only), 6 (formula only), 13-18, 21, 22, 57-62, 89 (think chain rule);
Chapter 4 Review: 23-34, 37-42, 60, 79, 80, 83-85, 89, 91, 109;
Section 4.6: 8, 9, 11, 15, 24;
Chapter 3 Review: 28-65.

Nov 26: Holiday

Nov 27: Holiday

Nov 28: Holiday

16 Dec 1: Review

Dec 5: Final Exam Friday, 10:30-12:30 in ILB 360

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USA Math Dept USA Last Modified 25th Nov 08

Week	Topic	Problems
1	Aug 18: Trig Review	1.4 #6, 7, 8, 9, 11, 13, 19, 20, 21, 31, 33.
	Aug 20: Inverse Functions	1.5 #4, 5, 16, 39, 41, 43.
	Aug 21: Exponential Functions	1.6 #1, 4, 6, 9, 10, 27.
	Aug 22: Logarithmic Functions	1.6 #20, 21, 23, 29, 36.
2	Aug 25: Limits	2.2 #2, 8, 9, 10.
	Aug 27: Limits	2.2 #11, 13, 19, 21, 27, 31, 38, 40.
	Aug 28: Limit Laws	2.3 #7, 13, 16, 21, 24-29, 31.
	Aug 29: Infinite Limits	2.2 #45, 47, 49, 50.
3	Sep 1: Holiday
	Sep 3: Continuity	2.4 #1, 12, 17, 29, 59-77 odd, 83, 86.
	Sep 4: Algebraic Evaluation	2.5 #5, 7, 8, 17, 19, 20, 27, 30.
	Sep 5: Squeeze Theorem	2.6 #3, 6, 7.
4	Sep 8: Trigonometric Limits	2.6 #11, 42.
	Sep 10: IVT	2.7 #1, 2, 5, 7, 15, 26.
	Sep 11: Formal Limits; Review	2.8 #4, 26.
	Sep 12: Test 1
5	Sep 15: Derivative Definitions	3.1 #3, 4, 10, 23, 29, 39, 44..
	Sep 17: Derivatives of Polynomials	3.2 #3, 5, 7, 11, 15, 17, 19, 23, 29, 31, 34.
	Sep 18: Geometry of Derivatives	3.2 #47, 53, 55, 57.
	Sep 19: Derivatives of Exponentials	3.2 #21, 35, 37.
6	Sep 22: Product Rule	3.3 #3, 4, 13, 18, 30.
	Sep 24: Quotient Rule	3.3 #9, 12, 16, 19, 27, 49-52.
	Sep 25: Higher Derivatives	3.5 #3, 5, 7, 17, 23, 25, 26, 49.
	Sep 26: Trig Functions	3.6 #1, 4, 5, 9, 17, 27, 33, 37, 39, 40, 41, 44.
7	Sep 29: Chain Rule	3.7 #5-8, 15-34.
	Oct 1: Chain Rule	3.7 #35-68, 83-86, 90.
	Oct 2: Implicit Differentiation	3.8 #2, 9, 11, 17, 19, 21, 23, 25.
	Oct 3: Implicit Differentiation	3.8 #29, 32, 33, 35, 45, 46.
8	Oct 6: Inverse Functions	3.9 #3, 5, 7, 9, 11, 15, 22, 24, 25, 39.
	Oct 8: Exponentials and Logs	3.10 #1, 2, 3, 9, 11, 35, 36, 43.
	Oct 9: Review
	Oct 10: Test 2
9	Oct 13: Extreme Values	4.2 #1, 3, 7, 11, 15, 23, 35, 39, 43, 52, 53, 70.
	Oct 15: Extreme Values
	Oct 16: First Derivative Test	4.3 # 19, 21, 25, 33, 43, 48.
	Oct 17: Rolle's Theorem	4.2 #63, 68, 69; 4.3 #2, 54.
10	Oct 20: MVT	4.3 #2, 54.
	Oct 22: Concavity	4.4 #1, 2, 7, 9, 11, 13, 15, 17, 22.
	Oct 23: Second Derivative Test	4.4 #37, 39, 41, 42, 43, 45, 47, 49.
	Oct 24: Graph Sketching	4.5 #7, 9, 13, 17, 21, 25, 29.
11	Oct 27: Asymptotes	4.5 #33, 52, 53, 57, 67, 65, 71.
	Oct 29: Applied Optimization	4.6 #7, 9, 11, 13, 16.
	Oct 30: Applied Optimization	4.6 #28, 35a, 50, 59.
	Oct 31: L'Hopital's Rule	4.7 #1, 5, 9, 11, 14, 15.
12	Nov 3: L'Hopital's Rule	4.7 #19, 23, 29, 35, 40, 47.
	Nov 5: Antiderivatives	4.9 #3, 5, 7, 8, 25, 29, 31, 36.
	Nov 6: Antiderivatives	4.9 #63-70.
	Nov 7: Review	Review #19, 21, 23, 25, 27, 29, 31, 33, 37, 39, 41, 43, 61, 63, 72, 93, 95, 97, 99, 109, 111.
13	Nov 10: Test 3
	Nov 12: Approximating Area	5.1 #13, 17.
	Nov 13: Computing Area	5.1 #56, 61, 65.
	Nov 14: The Definite Integral	5.2 #2, 7, 28.
14	Nov 17: The Definite Integral	5.2 #3, 11, 40, 51, 58, 61, 64, 65, 76.
	Nov 19: FTC, Version II	5.4 #1, 3, 7, 19, 21, 27, 28, 34.
	Nov 20: FTC, Version I	5.3 #7, 9, 10, 15, 19, 21, 22, 31, 33, 37, 40, 47, 49, 51.
	Nov 21: FTC, Version I
15	Nov 24: Summary	Exam Review Chapter 5 Review: #5 (R6 only), 6 (formula only), 13-18, 21, 22, 57-62, 89 (think chain rule); Chapter 4 Review: 23-34, 37-42, 60, 79, 80, 83-85, 89, 91, 109; Section 4.6: 8, 9, 11, 15, 24; Chapter 3 Review: 28-65.
	Nov 26: Holiday
	Nov 27: Holiday
	Nov 28: Holiday
16	Dec 1: Review
16	Dec 5: Final Exam	Friday, 10:30-12:30 in ILB 360