Complete Solutions Manual for SINGLE VARIABLE CALCULUS Early Transcendentals 7th Edition by Stewart James Stewart ISBN 0840049366 9780840049360

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ISBN 10: 0840049366 
ISBN 13: 9780840049360
Author: Stewart James Stewart

A solutions manual for a calculus textbook typically mirrors the structure of the textbook itself, providing detailed solutions to all or most of the problems. Given that it’s “Early Transcendentals,” it will introduce exponential, logarithmic, and trigonometric functions early on.

Complete Solutions Manual for SINGLE VARIABLE CALCULUS Early Transcendentals 7th Table of contents:

Part 1: Functions and Models

• Chapter 1: Functions and Models
  • 1.1 Four Ways to Represent a Function
  • 1.2 Mathematical Models: A Catalog of Essential Functions
  • 1.3 New Functions from Old Functions
  • 1.4 Graphing Calculators and Computers
  • 1.5 Exponential Functions
  • 1.6 Inverse Functions and Logarithms
  • Review Exercises
  • Principles of Problem Solving

Part 2: Limits and Derivatives

• Chapter 2: Limits and Derivatives

  • 2.1 The Tangent and Velocity Problems
  • 2.2 The Limit of a Function
  • 2.3 Calculating Limits Using the Limit Laws
  • 2.4 The Precise Definition of a Limit
  • 2.5 Continuity
  • 2.6 Limits at Infinity; Horizontal Asymptotes
  • 2.7 Derivatives and Rates of Change
  • 2.8 The Derivative as a Function
  • Review Exercises
  • Principles of Problem Solving

• Chapter 3: Differentiation Rules

  • 3.1 Derivatives of Polynomials and Exponential Functions
  • 3.2 The Product and Quotient Rules
  • 3.3 Derivatives of Trigonometric Functions
  • 3.4 The Chain Rule
  • 3.5 Implicit Differentiation
  • 3.6 Derivatives of Logarithmic Functions
  • 3.7 Rates of Change in the Natural and Social Sciences
  • 3.8 Exponential Growth and Decay
  • 3.9 Related Rates
  • 3.10 Linear Approximations and Differentials
  • 3.11 Hyperbolic Functions
  • Review Exercises
  • Principles of Problem Solving

Part 3: Applications of Differentiation

• Chapter 4: Applications of Differentiation
  • 4.1 Maximum and Minimum Values
  • 4.2 The Mean Value Theorem
  • 4.3 How Derivatives Affect the Shape of a Graph
  • 4.4 Indeterminate Forms and L’Hopital’s Rule
  • 4.5 Summary of Curve Sketching
  • 4.6 Optimization Problems
  • 4.7 Newton’s Method
  • 4.8 Antiderivatives
  • Review Exercises
  • Principles of Problem Solving

Part 4: Integrals

• Chapter 5: Integrals

  • 5.1 Areas and Distances
  • 5.2 The Definite Integral
  • 5.3 The Fundamental Theorem of Calculus
  • 5.4 Indefinite Integrals and the Net Change Theorem
  • 5.5 The Substitution Rule
  • Review Exercises
  • Principles of Problem Solving

• Chapter 6: Applications of Integration

  • 6.1 Areas Between Curves
  • 6.2 Volumes
  • 6.3 Volumes by Cylindrical Shells
  • 6.4 Work
  • 6.5 Average Value of a Function
  • Review Exercises
  • Principles of Problem Solving

Part 5: Inverse Functions and Techniques of Integration

• Chapter 7: Techniques of Integration
  • 7.1 Integration by Parts
  • 7.2 Trigonometric Integrals
  • 7.3 Trigonometric Substitution
  • 7.4 Integration of Rational Functions by Partial Fractions
  • 7.5 Strategy for Integration
  • 7.6 Integration Using Tables and Computer Algebra Systems
  • 7.7 Approximate Integration
  • 7.8 Improper Integrals
  • Review Exercises
  • Principles of Problem Solving

Part 6: Further Applications and Series

• Chapter 8: Further Applications of Integration

  • 8.1 Arc Length
  • 8.2 Area of a Surface of Revolution
  • 8.3 Applications to Physics and Engineering
  • 8.4 Applications to Economics and Biology
  • 8.5 Probability
  • Review Exercises
  • Principles of Problem Solving

• Chapter 9: Differential Equations

  • 9.1 Modeling with Differential Equations
  • 9.2 Direction Fields and Euler’s Method
  • 9.3 Separable Equations
  • 9.4 Models for Population Growth
  • 9.5 Linear Equations
  • 9.6 Predation-Prey Systems
  • Review Exercises
  • Principles of Problem Solving

• Chapter 10: Parametric Equations and Polar Coordinates

  • 10.1 Curves Defined by Parametric Equations
  • 10.2 Calculus with Parametric Curves
  • 10.3 Polar Coordinates
  • 10.4 Areas and Lengths in Polar Coordinates
  • 10.5 Conic Sections
  • Review Exercises
  • Principles of Problem Solving

• Chapter 11: Infinite Sequences and Series

  • 11.1 Sequences
  • 11.2 Series
  • 11.3 The Integral Test and Estimates of Sums
  • 11.4 The Comparison Tests
  • 11.5 Alternating Series and Absolute Convergence
  • 11.6 Ratio and Root Tests
  • 11.7 Strategy for Testing Series
  • 11.8 Power Series
  • 11.9 Representations of Functions as Power Series
  • 11.10 Taylor and Maclaurin Series
  • 11.11 Applications of Taylor Polynomials
  • Review Exercises
  • Principles of Problem Solving

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