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 Rolles theorem |
Q1-10; 1, 2, 3 21 odd |
|
6 |
5-5 |
The mean value theorem
and Rolles 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 Simpsons 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 |