Course Outline

Week

Lecture

Sections

Topic

Assignment (online – homework to hand in is available on the course webpage)

1

1.1

Functions and their graphs

1, 4, 5, 7, 9, 11, 19, 23

2

1.1

Functions and their graphs

25, 27, 29, 37, 39, 45, 47, 51

3

1.1

Inequalities and Absolute Value

53, 54, 59, 61, 63, 65

4

1.2

Combining Functions; Shifting and Scaling Graphs

3, 5, 7, 11, 15, 17, 21, 23, 25, 29

5

1.2

Combining Functions; Shifting and Scaling Graphs

31, 33, 37, 41, 49, 51, 55, 57, 65, 85

6

1.3

Trigonometric Functions

1, 7, 9, 11, 13, 17

7

1.3

Trigonometric Functions

31, 33, 39, 41, 43, 45

8

1.3

Trigonometric Functions

47, 49, 51, 53, 63, 65

9

1.5

Exponential Functions

10

Review for Midterm Exam

11

1.5

Go over exam

Exponential Functions

1, 5, 7, 9, 11, 19, 23

12

1.6

Inverse Functions and Logarithms

1, 3, 9, 13, 20, 21, 31, 33, 39, 41, 43

13

1.6

Inverse Functions and Logarithms

47, 51, 53, 57, 65, 66, 79

14

Chapter 1 review

15

2.1

Rates of change and tangents to curves;

1,5,9,21

16

2.2

Limit of a function and limit laws (MATLAB 1 assigned)

17

2.2

Limit of a function and limit laws;

1,3,11,15,19,23,27,35,37,43,49,53,63,79,81

18

2.4

One-sided limits

1,5,13,15,17,21,25,37,39,52

19

2.5

Continuity

20

2.5

2.6

Continuity

Limits involving infinity; asymptotes of graphs

1,13,19,27,29,35,39,43,47,53,57

21

2.6

Limits involving infinity; asymptotes of graphs

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

22

Review for Midterm Exam

23

3.1

Go over exam

Tangents and Derivative at a Point

5,7,13,29,33,37                                                             

24

3.2

Derivative as a function

(MATLAB 1 due)

25

3.2

3.3

Derivative as a function;

Differentiation Rules

3,11,18,23,27,3.1.23,3.1.25,31,33,37,41,47,53;

26

3.3

Differentiation Rules

1,7,11,13,17,31,39,41,53,57,72

27

3.4

Derivative as a rate of change

28

3.4

3.5

Derivative as a rate of change Derivatives of trigonometric functions

1,3,7,13,15,19,23,25,28;

29

3.5

Derivatives of trigonometric functions

3,15,25,27,31,35,47,49,53,59,61

30

3.6

Chain Rule

31

3.6

Chain Rule (cont)

1,7,9,21,23,29,35,41,55,61,73,89,95                             

32

3.7

Implicit Differentiation

33

Review for Midterm Exam

34

3.7

Go over exam

Implicit Differentiation

1,15,19,25,29,39,47           

35

3.8

Derivatives of Inverse Functions and Logarithms

36

3.8

Derivatives of Inverse Functions and Logarithms

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

37

3.9

Inverse Trigonometric functions

38

3.9

3.10

Inverse Trigonometric functions

Related rates

1,3,7,9,11,13,23,25,33,49;

39

3.10

Related rates (cont)

1,5,13,21,23,25

40

3.10

3.11

Related rates (cont)

Linearization and Differentials

27,29,31,37,40,43

41

3.11

Linearization and Differentials

1,11,13,19,23,43,45,51,53,57

42

Review