Brief Calculus An Applied Approach 7th Edition by Ron Larson, Bruce H Edwards – Ebook PDF Instant Download/Delivery: 0618547193, 9780618547197
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Product details:
ISBN 10: 0618547193
ISBN 13: 9780618547197
Author: Ron Larson, Bruce H Edwards
Brief Calculus An Applied Approach 7th Table of contents:
Part 1: Preparation for Calculus
- Chapter P: Precalculus Review
- P.1: The Cartesian Plane and the Distance Formula
- P.2: Graphs of Equations
- P.3: Lines in the Plane and Slope
- P.4: Functions
- P.5: Analyzing Graphs of Functions
- P.6: A Library of Parent Functions
- P.7: Transformations of Functions
- P.8: Combinations of Functions: Composite Functions
- P.9: Inverse Functions
- P.10: Exponential and Logarithmic Functions
Part 2: Limits and Differentiation
- Chapter 1: Limits
- 1.1: An Introduction to Limits
- 1.2: Properties of Limits
- 1.3: Techniques for Evaluating Limits
- 1.4: Infinite Limits
- 1.5: Limits Involving Infinity
- 1.6: Continuity and One-Sided Limits
- Chapter 2: Differentiation
- 2.1: The Derivative and the Slope of a Graph
- 2.2: Basic Differentiation Rules and Rates of Change
- 2.3: Product and Quotient Rules; Higher-Order Derivatives
- 2.4: The Chain Rule
- 2.5: Implicit Differentiation
- 2.6: Related Rates
Part 3: Applications of Differentiation
- Chapter 3: Applications of Differentiation
- 3.1: Extrema on an Interval
- 3.2: The Mean Value Theorem
- 3.3: Increasing and Decreasing Functions and the First Derivative Test
- 3.4: Concavity and the Second Derivative Test
- 3.5: Limits at Infinity
- 3.6: A Summary of Curve Sketching
- 3.7: Optimization Problems
- 3.8: Differentials and Business Applications
Part 4: Integration
- Chapter 4: Integration
- 4.1: Antiderivatives and Indefinite Integrals
- 4.2: Area
- 4.3: Riemann Sums and Definite Integrals
- 4.4: The Fundamental Theorem of Calculus
- 4.5: Integration by Substitution
- 4.6: Numerical Integration
Part 5: Applications of Integration
- Chapter 5: Applications of Integration
- 5.1: Area Between Two Curves
- 5.2: Producer and Consumer Surplus
- 5.3: Integration by Parts and Present Value
- 5.4: Improper Integrals
Part 6: Functions of Several Variables
- Chapter 6: Functions of Several Variables
- 6.1: Functions of Several Variables
- 6.2: Partial Derivatives
- 6.3: Optimization of Functions of Several Variables
- 6.4: Lagrange Multipliers (Optional, or for specific courses)
- 6.5: Double Integrals
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