Applied Calculus 2E

• Table of Contents
• Preface
• XYZ Learning Strategies   New
  • Chapter Introduction
  • Learning Styles and Study Plans
  • Growth Mindset: Growth, Resilience, Hardiness, Grit
  • Reading and Cognitive Techniques
• 0 - Algebra Review
  • Chapter Introduction
  • 0.1 - Definitions, Properties, and Simplifying Expressions
  • 0.2 - Exponents and Scientific Notation
  • 0.3 - Polynomials: Sums, Differences, and Products
  • 0.4 - Review of Factoring
  • 0.5 - Rational Expressions
  • 0.6 - Roots and Radicals
  • Chapter Test & Summary
• 1 - Functions, Limits and Rates of Change
  • Chapter Introduction
  • 1.1 - Introduction to Functions and Relations
  • 1.2 - Algebra and Composition with Functions
  • 1.3 - Slope, Rates of Change, and Linear Functions
  • 1.4 - Introduction to Limits
  • 1.5 - Functions and Continuity
  • 1.6 - Average and Instantaneous Rates of Change
  • Chapter Test & Summary
• 2 - Differentiation: The Language of Change
  • Chapter Introduction
  • 2.1 - The Derivative of a Function and Two Interpretations
  • 2.2 - Differentiating Products and Quotients
  • 2.3 - Higher Order Derivatives
  • 2.4 - The Chain Rule and General Power Rule
  • 2.5 - Implicit Differentiation
  • Chapter Test & Summary
• 3 - Applying the Derivative
  • Chapter Introduction
  • 3.1 - The First Derivative and the Behavior of Functions
  • 3.2 - The Second Derivative and the Behavior of Functions
  • 3.3 - Applications of the Derivative: Optimization
  • 3.4 - Applications of the Derivative in Business and Economics
  • Chapter Test & Summary
• 4 - The Natural Exponential and Logarithmic Functions
  • Chapter Introduction
  • 4.1 - The Exponential Functions
  • 4.2 - Logarithms
  • 4.3 - The Natural Logarithm Function
  • 4.4 - Differentiating the Natural Logarithm Function
  • 4.5 - Differentiating the Natural Exponential Function
  • Chapter Test & Summary
• 5 - Integration: The Language of Accumulation
  • Chapter Introduction
  • 5.1 - Antidifferentiation and the Indefinite Integral
  • 5.2 - Integration by Substitution
  • 5.3 - The Definite Integral
  • 5.4 - The Definite Integral and Area
  • 5.5 - Improper Integrals
  • 5.6 - Integration by Parts
  • Chapter Test & Summary
• 6 - Applications of Integration
  • Chapter Introduction
  • 6.1 - Area of Regions in the Plane
  • 6.2 - Consumer's and Producer's Surplus
  • 6.3 - Annuities and Money Streams
  • 6.4 - Differential Equations
  • 6.5 - Applications of Differential Equations
  • 6.6 - Probability
  • Chapter Test & Summary
• 7 - Calculus of Functions of Several Variables
  • Chapter Introduction
  • 7.1 - Functions of Several Variables
  • 7.2 - Partial Derivatives
  • 7.3 - Optimization of Functions of Two Variables
  • 7.4 - Constrained Maxima and Minima
  • 7.5 - The Total Differential
  • 7.6 - Double Integrals as Volume
  • 7.7 - The Average Value of a Function
  • Chapter Test & Summary
• Appendix - Appendix
  • Appendix.1 - Sketching Curves Using First and Second Derivatives
• Selected Answers
• Index