Coordinate Geometry Chapter 5
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June 2008
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June 2007
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Quadratics Chapter 2
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2.
Find the set of values of x for which
x2 7x 18 > 0.
Algebra and Functions Chapter 1
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Calculus Maximus
Notes 1.1: What is AP Calculus?
Chapter 1: What is AP Calculus?
Congratulations on your decision to take AP Calculus. You are now in the elite group (one of
approximately 250,000) of
Calculus:InClassAssignment#1
Questionstoconsider:
Graph
[,]by[,]
Completethetableofvaluesgiventhefollowingvaluesforx
X
2.8
2.9
2.99
2.999
2.9999
Y
X
3.2
3.1
3.01
3.001
3.0001
Y
Thegraphofisapproaching
Warm Up
Question # 1
Question # 2
Question # 3
Problem Set 23 (#1-4)
Target Goals:
a) Find the average value of a function using the Mean Value Theorem for Integrals
Average Value means y value
How ca
Problem Set # 7: Implicit Differentiation
Introduction
Final Examples
Hand In Problems for Students
Problem Set # 8: Basic Applications of the Derivative
Problem Set # 9
Find the value of c that satis
UNDERSTANDING THE DEFINITION OF A LIMIT
Definition of a limit:
for the
function f if and only if the following condition
holds: Given any
, there is a
such
that
whenever
.
This means that
1. first you
Problem Set # 7: Implicit Differentiation
Introduction
Final Examples
Hand In Problems for Students
Problem Set # 8: Basic Applications of the Derivative
Problem Set # 9
( )
[
(
)
]
Find the value of
Problem Set # 11
When f (x) > 0, ; () < 0, ;
() = 0, point
When f (x) > 0, "concave up"; () < 0,
"concave down" ; () = 0,
Problem Set # 12
Problem Set # 13
Position
Velocity
A
When the velocity if
Target Goal: Use shortcuts to help evaluate definite integrals
The Definite Integral
Properties
a.
b.
c.
d.
e.
Given:
Find:
Theorem:
Example
Given:
Evaluate:
Types of Discontinuity
a)
b)
2
y f x
1
0
c)
2
2
1
2
0
y f x
y f x
1
1
1
2
0
1
2
Removable Discontinuity
A
in a graph. That is, a discontinuity that can be "repaired" by filling in a single point. I
Types of Discontinuity
a)
b)
2
y f x
1
0
c)
2
2
1
2
0
y f x
y f x
1
1
1
2
0
1
2
Removable Discontinuity
A
in a graph. That is, a discontinuity that can be "repaired" by filling in a single point. I
CalculusProblemSet#3:ThedefinitionoftheDerivative
Themaintoolthatyouwilluseincalculusisthederivative
Youneedtobecomeanexpertatfindingortakingderivatives
Find the slope for the line that passes through
Calculus Problem Set # 5:
The product rule
If f(x) = uv, then
The quotient rule
If f(x) =
, then
The Chain rule
If y = f(g(x), then
Calculus Problem Set # 6
:
=
Calculus12:Lesson#1
Graphthefunctionusingyourgraphingcalculatorandtableofvalues
X
Y
Graphthefunctionusingyourgraphingcalculatorandtableofvalues
X
Y
Relationshipbetweenand
Solvethefollowing
Part#2:Trig
Calculus Maximus
Appendix A: Precal stuff to know
Stuff you need to know from Precalculus
Unit Circle
Even and Odd Functions
If f x f ( x) , then f is an even function
If f ( x) f ( x) , then f is an