Calculus : early transcendental functions / Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards ; with the assistance of David E. Heyd.

Contents
Chapter 1. Limits and their Properties
A preview of Calculus
Finding limits Graphically and numerically
Evaluating limits analytically
Continuity and one -sided limits
Infinite limits

Chapter 2 Differentiation
Derivative and the tangent line problem
Basic differentiation rules and rates of change
The product and quotient rules and higher-order derivatives
The chain rules
Newton's method
etc

Chapter 3 Applications of Differentiation
Extrema on an interval
Rolle's Theorem and decreasing functions and the first derivative test
Concavity and the second derivative test
Limits at infinity
A summary of curve sketching
etc

Chapter 4 Integration
Antiderivative and indefinite integration
Area
Rienmann Sun and definite integrals
The Fundamental theorem of Calculus
Integration by Substitution
etc

Chapter 5 Differential Equations
Differential Equations : Growth and Decay
Differential Equations : Separation of Variables
First-order linear differential equations

Chapter 6 Applications of integration
Area of region between two curves
Volume: The Disic Method
Volume: The shell method
Arc Length and surfaces of revolution
Work
etc

Chapter 7 Integration Techniques, L'Hopital's Rule and improper integrals
Basic integration rule
Integration by parts
Trigonometric integrals
Trigonometric Substitution
Partial fractions
etc

Chapter 8 Infinite series
Sequences
Series and Convergence
The integral test and p-series
Comparisons of series
The ratio and Root test
Alternating series
etc

Chapter 9








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Includes indexes.

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