Applied Calculus 7th edition

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Functions and Applications
  • 1.1: Functions from the Numerical, Algebraic, and Graphical Viewpoints
  • 1.2: Functions and Models
  • 1.3: Linear Functions and Models
  • 1.4: Linear Regression
  • 1: Review Exercises
  
  
• Chapter 2: Nonlinear Functions and Models
  • 2.1: Quadratic Functions and Models
  • 2.2: Exponential Functions and Models
  • 2.3: Logarithmic Functions and Models
  • 2.4: Logistic Functions and Models
  • 2: Review Exercises
  
  
• Chapter 3: Introduction to the Derivative
  • 3.1: Limits: Numerical and Graphical Viewpoints
  • 3.2: Limits and Continuity
  • 3.3: Limits and Continuity: Algebraic Viewpoint
  • 3.4: Average Rate of Change
  • 3.5: The Derivative: Numerical and Graphical Viewpoints
  • 3.6: The Derivative: Algebraic Viewpoint
  • 3: Review Exercises
  
  
• Chapter 4: Techniques of Differentiation with Applications
  • 4.1: Derivatives of Powers, Sums, and Constant Multiples
  • 4.2: A First Application: Marginal Analysis
  • 4.3: The Product and Quotient Rules
  • 4.4: The Chain Rule
  • 4.5: Derivatives of Logarithmic and Exponential Functions
  • 4.6: Implicit Differentiation
  • 4: Review Exercises
  
  
• Chapter 5: Further Applications of the Derivative
  • 5.1: Maxima and Minima
  • 5.2: Applications of Maxima and Minima
  • 5.3: Higher Order Derivatives: Acceleration and Concavity
  • 5.4: Analyzing Graphs
  • 5.5: Related Rates
  • 5.6: Elasticity
  • 5: Review Exercises
  
  
• Chapter 6: The Integral
  • 6.1: The Indefinite Integral
  • 6.2: Substitution
  • 6.3: The Definite Integral: Numerical and Graphical Viewpoints
  • 6.4: The Definite Integral: Algebraic Viewpoint and the Fundamental Theorem of Calculus
  • 6: Review Exercises
  
  
• Chapter 7: Further Integration Techniques and Applications of the Integral
  • 7.1: Integration by Parts
  • 7.2: Area between Two Curves and Applications
  • 7.3: Averages and Moving Averages
  • 7.4: Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
  • 7.5: Improper Integrals and Applications
  • 7.6: Differential Equations and Applications
  • 7: Review Exercises
  
  
• Chapter 8: Functions of Several Variables
  • 8.1: Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
  • 8.2: Partial Derivatives
  • 8.3: Maxima and Minima
  • 8.4: Constrained Maxima and Minima and Applications
  • 8.5: Double Integrals and Applications
  • 8: Review Exercises
  
  
• Chapter 9: Trigonometric Models
  • 9.1: Trigonometric Functions, Models, and Regression
  • 9.2: Derivatives of Trigonometric Functions and Applications
  • 9.3: Integrals of Trigonometric Functions and Applications
  • 9: Review Exercises
  
  
• Chapter 0: Precalculus Review
  • 0.1: Real Numbers
  • 0.2: Exponents and Radicals
  • 0.3: Multiplying and Factoring Algebraic Expressions
  • 0.4: Rational Expressions
  • 0.5: Solving Polynomial Equations
  • 0.6: Solving Miscellaneous Equations
  • 0.7: The Coordinate Plane
  • 0.8: Logarithms