Calculus: An Applied Approach (Metric Version - Not available for student purchase in the U.S.) 10th edition

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

• Chapter 1: Functions, Graphs, and Limits
  • 1.1: The Cartesian Plane and the Distance Formula
  • 1.2: Graphs of Equations
  • 1.3: Lines in the Plane and Slope
  • 1.4: Functions
  • 1.5: Limits
  • 1.6: Continuity
  • 1: Quiz Yourself
  • 1: Review Exercises
  • 1: Test Yourself
  
  
• Chapter 2: Differentiation
  • 2.1: The Derivative and the Slope of a Graph
  • 2.2: Some Rules for Differentiation
  • 2.3: Rates of Change: Velocity and Marginals
  • 2.4: The Product and Quotient Rules
  • 2.5: The Chain Rule
  • 2.6: Higher-Order Derivatives
  • 2.7: Implicit Differentiation
  • 2.8: Related Rates
  • 2: Quiz Yourself
  • 2: Review Exercises
  • 2: Test Yourself
  
  
• Chapter 3: Applications of the Derivative
  • 3.1: Increasing and Decreasing Functions
  • 3.2: Extrema and the First-Derivative Test
  • 3.3: Concavity and the Second-Derivative Test
  • 3.4: Optimization Problems
  • 3.5: Business and Economics Applications
  • 3.6: Asymptotes
  • 3.7: Curve Sketching: A Summary
  • 3.8: Differentials and Marginal Analysis
  • 3: Quiz Yourself
  • 3: Review Exercises
  • 3: Test Yourself
  
  
• Chapter 4: Exponential and Logarithmic Functions
  • 4.1: Exponential Functions
  • 4.2: Natural Exponential Functions
  • 4.3: Derivatives of Exponential Functions
  • 4.4: Logarithmic Functions
  • 4.5: Derivatives of Logarithmic Functions
  • 4.6: Exponential Growth and Decay
  • 4: Quiz Yourself
  • 4: Review Exercises
  • 4: Test Yourself
  
  
• Chapter 5: Integration and Its Applications
  • 5.1: Antiderivatives and Indefinite Integrals
  • 5.2: Integration by Substitution and the General Power Rule
  • 5.3: Exponential and Logarithmic Integrals
  • 5.4: Area and the Fundamental Theorem of Calculus
  • 5.5: The Area of a Region Bounded by Two Graphs
  • 5.6: The Definite Integral as the Limit of a Sum
  • 5: Quiz Yourself
  • 5: Review Exercises
  • 5: Test Yourself
  
  
• Chapter 6: Techniques of Integration
  • 6.1: Integration by Parts and Present Value
  • 6.2: Integration Tables
  • 6.3: Numerical Integration
  • 6.4: Improper Integrals
  • 6: Quiz Yourself
  • 6: Review Exercises
  • 6: Test Yourself
  
  
• Chapter 7: Functions of Several Variables
  • 7.1: The Three-Dimensional Coordinate System
  • 7.2: Surfaces in Space
  • 7.3: Functions of Several Variables
  • 7.4: Partial Derivatives
  • 7.5: Extrema of Functions of Two Variables
  • 7.6: Lagrange Multipliers
  • 7.7: Least Squares Regression Analysis
  • 7.8: Double Integrals and Area in the Plane
  • 7.9: Applications of Double Integrals
  • 7: Quiz Yourself
  • 7: Review Exercises
  • 7: Test Yourself
  
  
• Chapter 8: Trigonometric Functions
  • 8.1: Radian Measure of Angles
  • 8.2: The Trigonometric Functions
  • 8.3: Graphs of Trigonometric Functions
  • 8.4: Derivatives of Trigonometric Functions
  • 8.5: Integrals of Trigonometric Functions
  • 8: Quiz Yourself
  • 8: Review Exercises
  • 8: Test Yourself
  
  
• Chapter 9: Probability and Calculus
  • 9.1: Discrete Probability
  • 9.2: Continuous Random Variables
  • 9.3: Expected Value and Variance
  • 9: Review Exercises
  • 9: Test Yourself
  
  
• Chapter 10: Series and Taylor Polynomials
  • 10.1: Sequences
  • 10.2: Series and Convergence
  • 10.3: p-Series and the Ratio Test
  • 10.4: Power Series and Taylor's Theorem
  • 10.5: Taylor Polynomials
  • 10.6: Newton's Method
  • 10: Quiz Yourself
  • 10: Review Exercises
  • 10: Test Yourself
  
  
• Chapter 11: Differential Equations
  • 11.1: Solutions of Differential Equations
  • 11.2: Separation of Variables
  • 11.3: First-Order Linear Differential Equations
  • 11.4: Applications of Differential Equations
  • 11: Quiz Yourself
  • 11: Review Exercises
  • 11: Test Yourself
  
  
• Chapter A: Precalculus Review
  • A.1: The Real Number Line and Order
  • A.2: Absolute Value of a Real Number
  • A.3: Exponents and Radicals
  • A.4: Factoring Polynomials
  • A.5: Fractions and Rationalization
  
  
• Chapter B: Alternate Introduction to the Fundamental Theorem of Calculus
  • B.1: Alternate Introduction to the Fundamental Theorem of Calculus