CHAPTER 1

LIMITS, DERIVATIVES, INTEGRALS, AND INTEGRALS

 

PERIOD

SECTIONS

TOPIC

PROBLEMS

1

1-1

The concept of instantaneous rate

1,2

2

1-2

Rate of change by equation, graph or table

Q1-10, 1 – 29 odd

3

1-3

One type of integral as a function

Q1-10, 1-11 odd, 12-14 all

4

1-4

Definite integrals by trapezoids, from equations and data

Q1-10, 1 – 5 odd, 6, 7-13 odd

5

1-5, 1 – 6

Chapter review and test

R1 – R5

6

 

Test

Section 2-1: 1 – 3

 

 

CHAPTER 2

PROPERTIES OF LIMITS

 

PERIOD

SECTIONS

TOPIC

PROBLEMS

1

2-2

Graphical and algebraic approach to the definition of limits

Q1-10,  1 – 17 odd

2

2-3

The limit theorems

Q1-10, 1 – 13 odd

3

2 -3

The limit theorems

15 – 23 odd

4

2-4

Continuity

Q1-10, 1 – 29 odd

5

2-4

Continuity

31 – 45 odd

6

2-5

Limits involving infinity

Q1-10, 1-13 odd, 12, 14

7

2 – 6

The intermediate value theorem and its consequences

Q1-10, 1 – 5 all

8

2 – 6

The intermediate value theorem and its consequences

8 – 14 all

9

2-7

Chapter review and test

R0 – R6

10

 

TEST

Section 3-: 1 – 8 all

 

 

 

 

 

CHAPTER 3

DERIVATIVES, ANTIDERIVATIVES, AND INDEFINITE INTEGRALS

 

 

PERIOD

SECTIONS

TOPIC

PROBLEMS

1

3-2

Difference quotients and one definition of derivative

Q1-10: 1,2, 3-19 odd,20

2

3-3

Derivative functions numerically and graphically

Q1-10;1-13 odd, 14 – 17 all

3

3-4

Derivative of the power function and another definition of derivative

Q1-10; 1 – 23 odd

4

3 – 4

Derivative of the power function and another definition of derivative

25 – 33 odd, 34, 39, 40

5

3-5

Displacement, velocity, and acceleration

Q1-10; 1 – 11 odd, 12 – 14 all, 15 – 21  odd

6

3 – 6

Introduction to Sine, cosine, and composite functions

1 – 8 all

7

3 – 7

Derivatives of composite functions – the chain rule

Q1-10; 1-10 all

8

3 – 7

Derivatives of composite functions – the chain rule

11 – 20 all

9

3 – 7

Derivatives of composite functions – the chain rule

21 – 30 all

10

3 – 8

Proof and application of sine and cosine derivatives

Q1-10; 1,3,7

11

3-8

Proof and application of sine and cosine derivatives

8, 13, 14

12

3-9

Exponential and logarithmic functions

Q1-10; 1, 3, 5 – 10 all

13

3-9

Exponential and logarithmic functions

2, 4, 11-16 all

14

3 – 9

Exponential and logarithmic functions

17 – 30 all

15

3 – 10

Chapter review and test

R0-R5

16

3 – 10

Chapter review and test

R6-R9, C1

17

 

TEST

4-1:  1 – 6 all

 

 

 

 

CHAPTER 4

PRODUCTS, QUOTIENTS, AND PARAMETRIC FUNCTIONS

 

 

PERIOD

 

TOPIC

PROBLEMS

1

4 - 2

4 – 2 Derivative of a product of two functions

READ the section

Pages 134 - 136

Q1-10: 1 – 21 odd

2

4-2

GO over homework!

Pages 134 - 136

23-35 odd

3

4 – 3

Quiz on derivatives

4 – 3 Derivative of a quotient of two functions

Notes in class

Q1-10; 1 – 27 odd

4

4-4

Quiz on derivatives

4 – 4 Derivatives of the other trigonometric functions

Notes in class

Pages 143 - 146

Q1-10; 1 – 21 odd

5

Quiz

Still on 4-4

More work on section 4 -4

Worksheet

Finish worksheet for homework

6

4-5

Derivatives of inverse trigonometric functions

Pages 151 - 153

Q1-10; 1-25 odd

7

4-6

Differentiability and continuity

Pages 157 – 160

Q1-10; 1 – 19 odd; Section 4-5:14, 16

8

4-6

Differentiability and continuity

Pages 157 - 160

21-22 odd; section 4-5: 29

9

4-8

Graphs and derivatives of implicit relations

Pages 172 - 174

Q1-10; 1-12 all

10

4-8

Graphs and derivatives of implicit relations

Pages 172 - 174

13 – 27 odd

11

4-9

Related rates

Pages 176 - 179

Q1-10; 1- 11 odd

12

4-9

Related rates

Pages 176 - 179

2 – 12 even

13

4-9

Related rates

Review material

Pages 180 - 182

14

4-9

Chapter review and test

Review material

15

4-9

Test on chapter 4

Read section 5 – 2 in your text

Review problems to work out

 

 

CHAPTER 5

DEFINITE AND INDEFINITE INTEGRALS   

 

 

PERIOD

SECTIONS

TOPIC

PROBLEMS

1

5-2

Linear approximations and differentials

Q1-10: 1, 3, 5, 6, 7 – 41 odd

2

5-3

 

Formal definition of antiderivative and indefinite integral

Q1-10; 1-37 odd

3

5-3

Formal definition of antiderivative and indefinite integral

2 – 42 even, 43, 47, 48

4

5-4

Riemann sums and the definition of definite integral

Q1-10; 1 – 11 odd

5

5-5

The mean value theorem and Rolle’s theorem

Q1-10; 1, 2, 3 – 21 odd

6

5-5

The mean value theorem and Rolle’s theorem

23-33 odd, 34, 39 – 41 all

7

5-6

The fundamental theorem of calculus

Q1-10;1, 7 – 10 all

8

5-7

Definite integral properties and practice

Q1-10; 1 – 23 odd

9

5-7

Definite integral properties and practice

23 – 37 odd, 38

10

5-8

Definite integrals applied to area and other problems

Q1-10; 1-11 odd

11

5-8

Volume of a solid by plane slicing

13 – 31 odd

12

5-9

Volume of a solid by plane slicing

Q1-10; 1- 4 all

13

5-9

Volume of a solid by plane slicing

5 – 9 all

14

5-9

Volume of a solid by plane slicing

11 – 15  all

15

5-9

Volume of a solid by plane slicing

16, 17 – 23 odd

16

5-10

Definite integrals numerically by grapher and by Simpson’s rule

1,4,5,6,7,11,15,16

17

5-11

Chapter review and test

R0- R5

18

5-11

Chapter review and test

R6-R10

19

 

TEST

Section 6 – 1: 1 – 4 all

 

 

 

CHAPTER 6

THE CALCULUS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS   

 

 

PERIOD

SECTIONS

TOPIC

PROBLEMS

1

6-2

Antiderivative of the reciprocal function and another form of the fundamental theorem