Saturday, October 11, 2008

Powerpoint Notes



PowerPoint Lectures




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Chapter 1


1.3 Exponential
Functions



1.4 Parametric
Equations



1.5 Functions
and Logarithms






1.6 Trig Functions











Chapter 2



2.1 Day
1 Rates of Change and Limits, Sandwich Theorem



2.1 Day
2 Step Functions; Sandwich Theorem for



sin (x) / x




2.2 Limits Involving
Infinity





2.3 Continuity



2.4 Rates of
Change and Tangent Lines












Chapter 3



3.1 Derivative
of a Function




3.2 Differentiability



3.3 Rules for
Differentiation




3.4 Velocity,
Speed & Rates of Change



3.5 Derivatives
of Trig Functions



3.6 Chain Rule



3.7 Implicit
Differentiation



3.8 Derivatives
of Inverse Trig Functions



3.9 Derivatives
of Exponential and Logarithmic Functions







Chapter 4


4.1 Extreme
Values of Functions



4.2 Mean Value
Theorem



4.3 Using Derivatives
for Curve Sketching




4.4
Modeling and Optimization



4.5 Linearization
and Newton’s Method



4.6 Related
Rates



Chapter 5


5.1 Estimating
with Finite Sums



5.2 Definite
Integrals


5.3 Definite
Integrals and Antiderivatives



5.4
Fundamental Theorem of Calculus




5.5 Trapezoidal
Rule



Chapter 6


6.1 Day
1 Antiderivatives
and Slope Fields





6.1 Day
2 Euler's Method


6.2 Integration
by Substitution and Separable Differential Equations



6.3 Integration
by Parts and Tabular Integration



6.4 Exponential
Growth and Decay



6.5 Day
1 Partial Fractions





Chapter 7


7.1 Integral
as Net Change



7.2 Areas in
the Plane


7.3 Day
1 Volumes by Slicing


7.3 Day
2 Disk and Washer Methods




7.3 Day
3 The Shell Method


7.4 Day
1 Lengths of Curves








7.5 Day
2 Fluid Pressure and Forces


7.5 Extra Centers
of Mass and Theorems of Pappus



Chapter 8


8.1
Sequences


8.2 Day
1 L'Hopital's Rule


8.2 Day
2 Identifying Indeterminate Forms




8 Extra
Trigonometric Substitutions



Chapter 9

9.1 Power Series


9.2 Day
1 Taylor Series


9.2 Day
2 Finding Common Maclaurin Series


9.3 Taylor's
Theorem & Euler's Formula


9.4 Radius of
Convergence


9.5
Convergence at End Points



Chapter 10


10.1 Parametric
Functions


10.2 Day
1 Vectors in the Plane


10.2 Day
2 Vector-valued Functions



10.3 Day
1 Polar Coordinates and Graphs


10.3 Day
2 Calculus of Polar Curves


10 Extra
Modeling Projectile Motion




Chapter 11


11.1
Hyperbolic Functions


11.2
Hyperbolic Function Applications


11.3
Functions of Two Independent Variables



11.4
Partial Derivatives



11.5 Double Integration




Supplements







Calculus Formulas



Hyperbolic Functions


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