1

Sep 4-7

1

2

 2.1

2.2

Rates of Change and Tangents to Curves

Limit of a Function and Limit Laws

15, 21

8, 9, 47, 55, 65a, 77, 78, 81

2

Sep 10-14

3

4

5

2.3

2.4

2.5

The Precise Definition of a Limit

One-Sided Limits

Continuity

11, 18, 25, 32, 42, 56, 57

19, 22, 38, 41, 43-46

26, 30, 34, 44, 55, 61, 66, 67

3

Sep 17-21

6

7

8

 2.6

  3.1

3.2

Limits Involving Infinity; Asymptotes of Graphs

Tangents and the Derivative at a Point

The Derivative as a Function

 25, 43, 69, 81

30, 33, 35

12, 21, 23, 32, 33, 35, 46, 53

4

Sep 24-28

9

10

11

3.3

3.4

3.5

Differentiation Rules

The Derivative as a Rate of Change

Derivatives of Trigonometric Functions

19, 31, 50, 55, 59, 67, 72, 77

9, 11, 14, 15, 25

9, 19, 31, 49, 57, 61

5

Oct 1-5

12

13

14

3.6

3.7

Review for Exam 1

The Chain Rule

Implicit Differentiation

6, 17, 22, 33, 56, 97, 103

5, 17, 31, 44, 47

6

Oct 8-12

15

16

17

3.8

3.9

3.10

Derivatives of Inverse Functions and Logarithms

Inverse Trigonometric Functions

Related Rates

4, 7, 19, 21, 39, 47, 52, 89, 98, 100

15, 20, 23, 24, 34, 35, 43

7

Oct 15-19

18

19

20

3.11

4.1

4.2

Linearization and Differentials

Extreme Values of Functions

The Mean Value Theorem

11, 17, 39, 47, 53, 55, 61

27, 45, 50, 80, 82, 86

15, 18, 29, 51, 54, 57, 58, 61, 66

8

Oct 22-26

21

22

23

 4.3

4.4

4.4

Monotonic Functions and First Derivative Test

Concavity and Curve Sketching

Concavity and Curve Sketching (cont.)

7, 71, 80

3, 12, 31, 32, 51, 61, 114, 119

9

Oct 29-Nov2

24

25

26

4.4

4.5

Review for Exam 2

Indeterminate Forms & L’Hopital’s Rule

7, 14, 27, 34, 36, 59, 61, 67, 73

10

Nov 5-9

27

28

29

4.6

4.7

Applied Optimization

Newton’s Method

9, 10, 15, 25, 38, 42, 48, 50, 59, 60

11

Nov 12-16

30

31

32

 4.8

5.1

Antiderivatives

Area and Estimating with Finite Sums

 29, 33, 38, 42, 65, 122

10, 13, 20

12

Nov 19-23

33

34

5.2

5.3

Sigma Notation and Limits of Finite Sums

The Definite Integral

5, 17, 31, 33, 40, 42

11, 17, 22, 58, 71, 73, 83

13

Nov 26-30

35

36

37

5.3

5.4

Review for Exam 3

The Definite Integral (cont.)

The Fundamental Theorem of Calculus

12, 20, 31, 41, 52, 71, 74, 81

14

Dec 3-7

38

39

40

5.5

5.6

Indefinite Integrals & the Substitution Rule

Substitution and Area Between Curves

Special Topics: Mathematical Induction

3, 10, 13, 19, 27, 49, 63, 78

11, 15, 17, 27, 77, 91, 129, 133, 134           

Dec10-12

41

42

Special Topics: Mathematical  Induction

Review for Final Exam