Calculus : graphical, numerical, algebraic

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
	Key Terms
	Review Exercises
Chapter 2 Limits and Contunity
	2.1 Rates of Change and Limits
	2.2 Limits Involcing Infinity
	2.3 Continuity
	2.4 Rates of Change and Tangent Lines
	Key Terms
	Review Exercises
Chapter 3 Derivatives
	3.1 Derivative of a Function
	3.2 Differentiability
	3.3 Rules of Differentiation
	3.4 Velocity and Other Rates of Change
	3.5 Derivatives of Trigonometric Functions
	Key Terms
	Review Exercises
Chapter 4 More Derivatives
	4.1 Chain Rule
	4.2 Implicit Differentiation
	4.3 Derivatives of Invers Trigonometric Functions
	4.4 Derivatives of Exponential and Logarithmic Functions
	Key Terms
	Review Exercises
Chapter 5 Applications of Derivatives
	5.1 Extreme Values of Functions
	5.2 Mean Value Theorem
	5.3 Connecting f' and f'' with the Graph of f
	5.4 Modeling and Optimization
	5.5 Linearization and Differentials
	5.6 Related Rates
	Key Terms
	Review Exercises
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
	Key Terms
	Review Exercises
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
	Key Terms
	Review Exercises
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
	Key Terms
	Review Exercises
Chapter 9 Sequences, L'Hopital's Rule, and Improper Integrals
	9.1 Sequences
	9.2 L'Hopital's Rule
	9.3 Relative Rates of Growth
	9.4 Improper Integrals
	Key Terms
	Review Exercises
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
	Key Terms
	Review Exercises
Chapter 11 Parametric, Vector, and Polar Functions
	11.1 Parametric Functions
	11.2 Vectors in the Plane
	11.3 Polar Functions
	Key Terms
	Review Exercises
Appendix
	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
	Glossary
	Selected Answers
		Chapter 1
		Chapter 2
		Chapter 3
		Chapter 4
		Chapter 5
		Chapter 6
		Chapter 7
		Chapter 8
		Chapter 9
		Chapter 10
		Chapter 11
	Applications Index
	Index