Finney, Demana, Waits, Kennedy, Bressoud, Calculus Graphical, Numerical, Algebraic, 5th Edition

Finney, Demana, Waits, Kennedy, Bressoud, Calculus Graphical, Numerical, Algebraic, 5th Edition
 
 

Table of Contents

Chapter 1: Prerequisites for Calculus

  • 1.1 Linear Functions
  • 1.2 Functions and Graphs
  • 1.3 Exponential Functions
  • 1.4 Parametric Equations
  • 1.5 Inverse Functions and Logarithms
  • 1.6 Trigonometric Functions

Chapter 2: Limits and Continuity

  • 2.1 Rates of Change and Limits
  • 2.2 Limits Involving Infinity
  • 2.3 Continuity
  • 2.4 Rates of Change, Tangent Lines, and Sensitivity

Chapter 3: Derivatives

  • 3.1 Derivative of a Function
  • 3.2 Differentiability
  • 3.3 Rules for Differentiation
  • 3.4 Velocity and Other Rates of Change
  • 3.5 Derivatives of Trigonometric Functions

Chapter 4: More Derivatives

  • 4.1 Chain Rule
  • 4.2 Implicit Differentiation
  • 4.3 Derivatives of Inverse Trigonometric Functions
  • 4.4 Derivatives of Exponential and Logarithmic Functions

Chapter 5: Applications of Derivatives

  • 5.1 Extreme Values of Functions
  • 5.2 Mean Value Theorem
  • 5.3 Connecting ƒ_ and ƒ _ with the Graph of ƒ
  • 5.4 Modeling and Optimization
  • 5.5 Linearization, Sensitivity, and Differentials
  • 5.6 Related Rates

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

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

Chapter 8: Applications of Definite Integrals

  • 8.1 Accumulation and Net Change
  • 8.2 Areas in the Plane
  • 8.3 Volumes
  • 8.4 Lengths of Curves
  • 8.5 Applications from Science and Statistics

Chapter 9: Sequences, L’Hospital’s Rule, and Improper Integrals

  • 9.1 Sequences
  • 9.2 L ’Hospital’s Rule
  • 9.3 Relative Rates of Growth
  • 9.4 Improper Integrals

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

Chapter 11: Parametric, Vector, and Polar Functions

  • 11.1 Parametric Functions
  • 11.2 Vectors in the Plane
  • 11.3 Polar Functions

Appendices

  • A1 Formulas from Precalculus Mathematics
  • A2 A Formal Definition of Limit
  • A3 A Proof of the Chain Rule
  • A4 Hyperbolic Functions
  • A5 A Very Brief Table of Integrals
  • Glossary
  • Selected Answers
  • Applications Index
  • Subject Index