Week
Dates

Section & Topic

Lecture, Page & Homework Assignments

Week 1
5/23 – 5/27

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Motivating the Course; Usefulness of Calculus; Review topics of greatest issue
in Pre-Calculus

2.1

Rates of Change and Tangents to Curves

p.63

1, 5, 7, 9, 21

2.2

Limit of a Function and Limit Laws

p.73

1, 3, 5, 6, 11, 15, 19, 23, 29, 33, 35, 37, 43, 49, 53, 63

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MATLAB 1 ASSIGNED

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DUE ON 6/13/11

2.4

One-Sided Limits

p.90

1, 5, 6, 7, 13, 15, 17, 21, 25 , 29, 37, 39, 43

2.5

Continuity

p.101

1, 2, 6, 13, 19, 23, 27, 29, 34, 39, 43, 47, 53, 57, 66

Week 2
5/30 – 6/3

2.6

Limits Involving Infinity;

Asymptotes of Graphs

p.114

1, 3, 7, 10, 11, 17, 18, 19, 23, 29, 35, 43, 49, 57, 67, 71, 81, 101

3.1

3.2

Tangents and the Derivative at a Point

The Derivative as a Function

p.125

p.131

5, 7, 13, 23, 25. 29, 33, 37

3, 5, 11, 18, 23

3.2

3.3

The Derivative as a Function (cont.) Differentiation Rules

p.132

p.143

27, 35, 37, 41, 43, 46, 53, 55

1, 7, 11

3.3

Differentiation Rules (cont.)

p.143

13, 17, 21, 31, 37, 39, 41, 47, 50, 53, 57, 59, 67, 69, 72

3.3

3.4

Differentiation Rules (cont.)

The Derivative as a Rate of Change

p.152

1, 3, 7, 13, 15, 19, 21, 23, 25, 26

Week 3
6/6 – 6/10

3.5

Derivatives of Trigonometric Functions

p.159

3, 7, 15, 19, 21, 25, 31 ,35, 39, 47, 49, 53, 57, 59, 61

3.6

The Chain Rule

p.167

1, 7, 9, 17, 21

3.6

3.7

The Chain Rule (cont.)

Implicit Differentiation

p.167

23, 29, 35, 41, 55, 61, 69, 73, 79, 85, 89,
97 (w/o jerk), 100

Week 4
6/13 – 6/17

3.7

Implicit Differentiation (cont.)

p.174

1, 7, 15, 19, 21, 23, 29, 33, 39, 47, 50

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MIDTERM EXAM 1: WEDNESDAY ~ JUNE 15, 2011

3.8

Derivatives of Inverse Functions and Logarithms

p.184

7, 11, 13, 21, 24, 29, 37, 41, 47, 51, 55, 65, 89, 95

3.9

Inverse Trigonometric Functions

p.191

1, 3, 5, 7, 9, 11, 13, 23, 25, 33, 41, 49, 63

Week 5
6/20 – 6/24

3.10

Related Rates

p.197

1, 5, 13, 16, 18, 21, 23, 25

3.10

Related Rates (cont.)

p.199

27, 29, 31, 34, 35, 37, 40, 43

3.11

Linearization and Differentials

p.210

3, 11, 13, 15, 16a,b,19, 23, 31, 41, 43, 51, 53, 57, 64a,b

4.1

Extreme Values of Functions

p.227

1, 3, 11, 13, 21, 25, 35, 41, 59, 63, 69, 75, 85, 86

4.1

4.2

Extreme Values of Functions

The Mean Value Theorem

p.227

p.236

1, 3, 11, 13, 21, 25, 35, 41, 59, 63, 69, 75, 85, 86

1, 4, 10, 13, 16, 21, 25

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MATLAB 2 ASSIGNED

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DUE ON 7/11/11

Week 6
6/27 – 7/1

4.2

The Mean Value Theorem (cont.)

p.236

31, 33, 37, 41, 43, 49, 51, 56, 57, 63, 65, 73

4.3

Monotonic Functions and the First Derivative Test

p.241

1, 7, 13, 15, 21, 33, 43, 49, 53, 59, 67, 73, 78

4.4

Concavity and Curve Sketching

p.251

1, 5, 9, 19, 23, 29, 37, 41, 43, 51

Week 7

7/4 – 7/8

4.4

4.5

Concavity and Curve Sketching (cont.) Indeterminate Forms & L’Hopital’s Rule

p.252

p.261

59, 71, 73, 81, 85, 91, 103, 111, 113, 117, 121

1, 5, 11, 13, 17, 27, 29, 35, 41, 42, 46, 49

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MIDTERM EXAM 1: WEDNESDAY ~ JULY 6, 2011

4.5

4.6

Indeterm. Forms & L’Hopital’s Rule (cont.)

Applied Optimization

p.261

p.268

51, 58, 71, 75, 77, 79, 81, 85

1, 3, 5, 7, 11, 12

4.6

Applied Optimization (cont.)

p.269

14, 24, 29, 37, 38, 39, 42

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MATLAB 3 ASSIGNED

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DUE ON 7/25/11

Week 8
7/11 – 715

4.6

4.7

Applied Optimization (cont.)

Newton’s Method

p.272

45, 47a-c, 54, 57, 63, 67a

4.7 

Newton’s Method (cont.)

p.277

1, 3, 5, 7, 9, 10, 11, 19, 25

1, 5, 11, 13, 15,

Week 9
7/18 – 7/22

4.8

Antiderivatives

p.285 

19, 25, 35, 41, 53, 55, 61, 65, 71, 75, 76

4.8

Antiderivatives (cont.)

p.286 

 83, 86, 89, 91, 97, 101, 104, 105, 113, 119, 121, 127

5.1

Area and Estimating with Finite Sums

p.304

1, 3, 9, 13, 14, 15, 19

5.1

5.2

Area and Estimating w/ Finite Sums (cont.)

Sigma Notation and Limits of Finite Sums

p.304

p.312

1, 3, 9, 13, 14, 15, 19

1, 5, 7, 9, 15

Week 10
7/25 – 7/29

5.2

5.3

Sigma Not. & Limits of Finite Sums (cont.)

The Definite Integral

p.313

p.321

17, 25, 31, 33, 39, 41

1, 7, 9, 13, 15, 22

5.3

The Definite Integral (cont.)

p.322

29, 35, 41, 47, 51, 59, 64, 71, 75, 79

5.4

The Fundamental Theorem of Calculus

p.333

1, 8, 13, 17, 23, 31

5.4

5.5

The Fundamental Theorem of Calc. (cont.)

Indefinite Integrals & the Substitution Rule

p.334

41, 45, 47, 50, 51, 59, 61, 65, 69, 71, 75, 77, 79, 81, 83

5.5

Indefinite Integrals & the Sub. Rule (cont.)

p.342

1, 7, 11, 17, 19, 21, 23, 25, 27, 33, 43, 47, 51, 55, 61, 71, 79

Week 11
8/1- 8/5

5.6

Substitution and Area Between Curves

p.350

1, 9, 17, 27, 39, 47, 51, 55, 63, 67, 73, 75, 81, 87, 93, 105, 107, 113

REVIEW FOR FINAL EXAM

Final

Final EXAM   8/8/11