Calculus 12th Edition by Ron Larson, Bruce Edwards ISBN 0357749405 9780357749401

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ISBN 10:    0357749405
ISBN 13: 978-0357749401
Author:      Ron Larson, Bruce Edwards

Calculus 12th Table of contents:

Chapter P: Preparation for Calculus

• P.1 Graphs and Models
• P.2 Linear Models and Rates of Change
• P.3 Functions and Their Graphs
• P.4 Review of Trigonometric Functions
• Review Exercises
• P.S. Problem Solving

Chapter 1: Limits and Their Properties

• 1.1 A Preview of Calculus
• 1.2 Finding Limits Graphically and Numerically
• 1.3 Evaluating Limits Analytically
• 1.4 Continuity and One-Sided Limits
• 1.5 Infinite Limits
• Review Exercises
• P.S. Problem Solving

Chapter 2: Differentiation

• 2.1 The Derivative and the Tangent Line Problem
• 2.2 Basic Differentiation Rules and Rates of Change
• 2.3 Product and Quotient Rules and Higher-Order Derivatives
• 2.4 The Chain Rule
• 2.5 Implicit Differentiation
• 2.6 Related Rates
• Review Exercises
• P.S. Problem Solving

Chapter 3: Applications of Differentiation

• 3.1 Extrema on an Interval
• 3.2 Rolle’s Theorem and 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 Newton’s Method
• 3.9 Differentials
• Review Exercises
• P.S. Problem Solving

Chapter 4: Integration

• 4.1 Antiderivatives and Indefinite Integration
• 4.2 Area
• 4.3 Riemann Sums and Definite Integrals
• 4.4 The Fundamental Theorem of Calculus
• 4.5 Integration by Substitution
• Review Exercises
• P.S. Problem Solving

Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions

• 5.1 The Natural Logarithmic Function: Differentiation
• 5.2 The Natural Logarithmic Function: Integration
• 5.3 Inverse Functions
• 5.4 Exponential Functions: Differentiation and Integration
• 5.5 Bases Other Than e and Applications
• 5.6 Indeterminate Forms and L’Hopital’s Rule
• 5.7 Inverse Trigonometric Functions: Differentiation
• 5.8 Inverse Trigonometric Functions: Integration
• 5.9 Hyperbolic Functions
• Review Exercises
• P.S. Problem Solving

Chapter 6: Differential Equations

• 6.1 Slope Fields and Euler’s Method
• 6.2 Growth and Decay
• 6.3 Separation of Variables and the Logistic Equation
• 6.4 First-Order Linear Differential Equations
• Review Exercises
• P.S. Problem Solving

Chapter 7: Applications of Integration

• 7.1 Area of a Region between Two Curves
• 7.2 Volume: The Disk Method
• 7.3 Volume: The Shell Method
• 7.4 Arc Length and Surfaces of Revolution
• 7.5 Work
• 7.6 Moments, Centers of Mass, and Centroids
• 7.7 Fluid Pressure and Fluid Force
• Review Exercises
• P.S. Problem Solving

Chapter 8: Integration Techniques and Improper Integrals

• 8.1 Basic Integration Rules
• 8.2 Integration by Parts
• 8.3 Trigonometric Integrals
• 8.4 Trigonometric Substitution
• 8.5 Partial Fractions
• 8.6 Numerical Integration
• 8.7 Integration by Tables and Other Techniques
• 8.8 Improper Integrals
• Review Exercises
• P.S. Problem Solving

Chapter 9: Infinite Series

• 9.1 Sequences
• 9.2 Series and Convergence
• 9.3 The Integral Test and p-Series
• 9.4 Comparisons of Series
• 9.5 Alternating Series
• 9.6 The Ratio and Root Tests
• 9.7 Taylor Polynomials and Approximations
• 9.8 Power Series
• 9.9 Representation of Functions by Power Series
• 9.10 Taylor and Maclaurin Series
• Review Exercises
• P.S. Problem Solving

Chapter 10: Conics, Parametric Equations, and Polar Coordinates

• 10.1 Conics and Calculus
• 10.2 Plane Curves and Parametric Equations
• 10.3 Parametric Equations and Calculus
• 10.4 Polar Coordinates and Polar Graphs
• 10.5 Area and Arc Length in Polar Coordinates
• 10.6 Polar Equations of Conics and Kepler’s Laws
• Review Exercises
• P.S. Problem Solving

Chapter 11: Vectors and the Geometry of Space

• 11.1 Vectors in the Plane
• 11.2 Space Coordinates and Vectors in Space
• 11.3 The Dot Product of Two Vectors
• 11.4 The Cross Product of Two Vectors in Space
• 11.5 Lines and Planes in Space
• 11.6 Surfaces in Space
• 11.7 Cylindrical and Spherical Coordinates
• Review Exercises
• P.S. Problem Solving

Chapter 12: Vector-Valued Functions

• 12.1 Vector-Valued Functions
• 12.2 Differentiation and Integration of Vector-Valued Functions
• 12.3 Velocity and Acceleration
• 12.4 Tangent Vectors and Normal Vectors
• 12.5 Arc Length and Curvature
• Review Exercises
• P.S. Problem Solving

Chapter 13: Functions of Several Variables

• 13.1 Introduction to Functions of Several Variables
• 13.2 Limits and Continuity
• 13.3 Partial Derivatives
• 13.4 Differentials
• 13.5 Chain Rules for Functions of Several Variables
• 13.6 Directional Derivatives and Gradients
• 13.7 Tangent Planes and Normal Lines
• 13.8 Extrema of Functions of Two Variables
• 13.9 Applications of Extrema
• 13.10 Lagrange Multipliers
• Review Exercises
• P.S. Problem Solving

Chapter 14: Multiple Integration

• 14.1 Iterated Integrals and Area in the Plane
• 14.2 Double Integrals and Volume
• 14.3 Change of Variables: Polar Coordinates
• 14.4 Center of Mass and Moments of Inertia
• 14.5 Surface Area
• 14.6 Triple Integrals and Applications
• 14.7 Triple Integrals in Other Coordinates
• 14.8 Change of Variables: Jacobians
• Review Exercises
• P.S. Problem Solving

Chapter 15: Vector Analysis

• 15.1 Vector Fields
• 15.2 Line Integrals
• 15.3 Conservative Vector Fields and Independence of Path
• 15.4 Green’s Theorem
• 15.5 Parametric Surfaces
• 15.6 Surface Integrals
• 15.7 Divergence Theorem
• 15.8 Stokes’s Theorem

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