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Finney, Demana, Waits, Kennedy Calculus: Graphing, Numerical, Algebraic 4th Edition


Chapter 1 Prerequisites for Calculus

1.1 Lines
1.2 Functions and Graphs
1.3 Exponential Functions
1.4 Parametric Equations
1.5 Functions and Logarithms
1.6 Trigonometric Functions


Chapter 2 Limits and Continuity

2.1 Rates of Change and Limits
2.2 Limits Involving Infinity
2.3 Continuity
2.4 Rates of Change and Tangent Lines


Chapter 3 Derivatives

3.1 Derivative of a Function
3.2 Differentiability
3.3 Rules for Differentiation
3.4 Velocity and Other Rates of Change
3.5 Derivatives of Trigonometric Functions


Chapter 4 More Derivatives

4.1 Chain Rule
4.2 Implicit Differentiation
4.3 Derivatives of Inverse Trigonometric Functions
4.4 Derivatives of Exponential and Logarithmic Functions


Chapter 5 Applications of Derivatives

5.1 Extreme Values of Functions
5.2 Mean Value Theorem
5.3 Connecting ƒ’ and ƒ’’ with the Graph of ƒ
5.4 Modeling and Optimization
5.5 Linearization and Differentials
5.6 Related Rates


Chapter 6 The Definite Integral

6.1 Estimating with Finite Sums
6.2 Definite Integrals
6.3 Definite Integrals and Antiderivatives
6.4 Fundamental Theorem of Calculus
6.5 Trapezoidal Rule


Chapter 7 Differential Equations and Mathematical Modeling

7.1 Slope Fields and Euler’s Method
7.2 Antidifferentiation by Substitution
7.3 Antidifferentiation by Parts
7.4 Exponential Growth and Decay
7.5 Logistic Growth


Chapter 8 Applications of Definite Integrals

8.1 Integral As Net Change
8.2 Areas in the Plane
8.3 Volumes
8.4 Lengths of Curves
8.5 Applications from Science and Statistics


Chapter 9 Sequences, L’Hôpital’s Rule, and Improper Integrals

9.1 Sequences
9.2 L’Hôpital’s Rule
9.3 Relative Rates of Growth
9.4 Improper Integrals


Chapter 10 Infinite Series

10.1 Power Series
10.2 Taylor Series
10.3 Taylor’s Theorem
10.4 Radius of Convergence
10.5 Testing Convergence at Endpoints


Chapter 11 Parametric, Vector, and Polar Functions

11.1 Parametric Functions
11.2 Vectors in the Plane
11.3 Polar Functions



A1 Formulas from Precalculus Mathematics
A2 Mathematical Induction
A3 Using the Limit Definition
A4 Proof of the Chain Rule
A5 Conic Sections
A6 Hyperbolic Functions
A7 A Brief Table of Integrals



Selected Answers
Applications Index