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Chapters

• Chapter 0: Class Information
  • Textbook
• Chapter 1: Limits
  • Section 1.1: Preview of Calculus
  • Section 1.2: Finding Limits Graphically and Numerically
  • Section 1.3: Evaluating Limits Analytically
  • Section 1.4: Continuous Functions
  • Section 1.5: Infinite Limits
  • Section 3.5: Limits at Infinity
• Chapter 2: Differentiation
  • Section 2.1: The Derivate and the Tangent Line Problem
  • Section 2.2: Differentiation Rules and Rates of Change
  • Section 2.3: The Product and Quotient Rules; Higher Order Derivatives
  • Section 2.4: The Chain Rule
  • Section 2.5: Implicit Differentiation
  • Section 2.6: Related Rates
• Chapter 3: Applications of Derivatives
  • Section 3.1: Exterma on an Interval
  • Section 3.2: Rolle’s Theorem and the Mean Value Theorem
  • Section 3.3: Increasing and Decreasing Functions
  • Section 3.4: Concavity and the Second Derivative Test
  • Section 3.7: Optimization
  • Section 3.8: Newton’s Method
• Chapter 4: Integration
  • Section 4.1: Antiderivatives and Indefinite Integration
  • Section 4.2: Area
  • Section 4.3: Riemann Sums and Definite Integrals
  • Section 4.4: The Fundamental Theorem of Calculus
  • Section 4.5: Integration by Substituion
• Chapter 5: Logarithmic, Exponential, and Transcendental Functions
  • Section 5.1: The Natural Log Function
  • Section 5.2: Integration Involving the Natural Log Function
  • Section 5.3: Inverse Functions
  • Section 5.4 Exponential Functions
  • Section 5.5 Bases Other than e and Applications
  • Section 5.6: Indeterminate Forms and L’Hopital’s Rule
  • Section 5.7: Inverse Trigonometric Functions: Differentiation
  • Section 5.8: Inverse Trigonometric Functions: Integration

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