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7Filling and Wrapping
*38Frogs, Fleas, and Painted Cubes  Quadratic Relationship
*48Growing, Growing, Growing  Exponential Growth
*78Looking for Pythagoras  The Pythagorean Theorem
*18Thinking With Mathematical Models  Linear and Inverse Variation
*28The Shapes of Algebra  Linear Systems and Inequalities
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8 NeedtoKnow Calculus
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Check out the
Calculus I Video Calculus Series
, the
Online Matrix Calculator
,
AP Practice Exams
, and
other online help materials
from the University of Houston.
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 Newtonâ€™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
6.5 Day 2 Logistic Growth
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
7.4 Day 2 Surface Area
7.4 Worksheet: Areas of Surface & Revolution
7.5 Day 1 Work and Pumping Liquids
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
8.3 Relative Rates of Growth
8.4 Day 1 Improper Integrals
8.4 Day 2 Tests for Convergence
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 Vectorvalued 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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sin (x) / x