Brief Applied Calculus 1st edition

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• Chapter 1: Functions and Models
  • 1.1: Functions and Their Representations
  • 1.2: Combining and Transforming Functions
  • 1.3: Linear Models and Rates of Change
  • 1.4: Polynomial Models and Power Functions
  • 1.5: Exponential Models
  • 1.6: Logarithmic Functions
  • 1.R: Review
  
  
• Chapter 2: The Derivative
  • 2.1: Measuring Change
  • 2.2: Limits
  • 2.3: Rates of Change and Derivatives
  • 2.4: The Derivative as a Function
  • 2.R: Review
  
  
• Chapter 3: Techniques of Differentiation
  • 3.1: Shortcuts to Finding Derivatives
  • 3.2: Introduction to Marginal Analysis
  • 3.3: The Product and Quotient Rules
  • 3.4: The Chain Rule
  • 3.5: Implicit Differentiation and Logarithms
  • 3.6: Exponential Growth and Decay
  • 3.R: Review
  
  
• Chapter 4: Applications of Differentiation
  • 4.1: Related Rates
  • 4.2: Maximum and Minimum Values
  • 4.3: Derivatives and the Shapes of Curves
  • 4.4: Asymptotes
  • 4.5: Curve Sketching
  • 4.6: Optimization
  • 4.7: Optimization in Business and Economics
  • 4.R: Review
  
  
• Chapter 5: Integrals
  • 5.1: Cost, Area, and the Definite Integral
  • 5.2: The Fundamental Theorem of Calculus
  • 5.3: The Net Change Theorem and Average Value
  • 5.4: The Substitution Rule
  • 5.5: Integration by Parts
  • 5.R: Review
  
  
• Chapter 6: Applications of Integration
  • 6.1: Areas Between Curves
  • 6.2: Applications to Economics
  • 6.3: Applications to Biology
  • 6.4: Differential Equations
  • 6.5: Improper Integrals
  • 6.6: Probability
  • 6.R: Review
  
  
• Chapter 7: Functions of Several Variables
  • 7.1: Functions of Several Variables
  • 7.2: Partial Derivatives
  • 7.3: Maximum and Minimum Values
  • 7.4: Lagrange Multipliers
  • 7.R: Review