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OpenStax Calculus 2

Study guide for Calculus Volume 2 (Gilbert Strang, 2016 edition)

A study guide for OpenStax Calculus Volume 2 by Gilbert Strang and Edwin Herman, covering every section with practice problems and quizzes.

Independent study guide. Not affiliated with OpenStax or Rice University.

Chapter 1: Integration

  1. 1.1Approximating Areas
  2. 1.2The Definite Integral
  3. 1.3The Fundamental Theorem of Calculus
  4. 1.4Integration Formulas and the Net Change Theorem
  5. 1.5Substitution
  6. 1.6Integrals Involving Exponential and Logarithmic Functions
  7. 1.7Integrals Resulting in Inverse Trigonometric Functions

Chapter 2: Applications of Integration

  1. 2.1Areas between Curves
  2. 2.2Determining Volumes by Slicing
  3. 2.3Volumes of Revolution: Cylindrical Shells
  4. 2.4Arc Length of a Curve and Surface Area
  5. 2.5Physical Applications
  6. 2.6Moments and Centers of Mass
  7. 2.7Integrals, Exponential Functions, and Logarithms
  8. 2.8Exponential Growth and Decay
  9. 2.9Calculus of the Hyperbolic Functions

Chapter 3: Techniques of Integration

  1. 3.1Integration by Parts
  2. 3.2Trigonometric Integrals
  3. 3.3Trigonometric Substitution
  4. 3.4Partial Fractions
  5. 3.5Other Strategies for Integration
  6. 3.6Numerical Integration
  7. 3.7Improper Integrals

Chapter 4: Introduction to Differential Equations

  1. 4.1Basics of Differential Equations
  2. 4.2Direction Fields and Numerical Methods
  3. 4.3Separable Equations
  4. 4.4The Logistic Equation
  5. 4.5First-order Linear Equations

Chapter 5: Sequences and Series

  1. 5.1Sequences
  2. 5.2Infinite Series
  3. 5.3The Divergence and Integral Tests
  4. 5.4Comparison Tests
  5. 5.5Alternating Series
  6. 5.6Ratio and Root Tests

Chapter 6: Power Series

  1. 6.1Power Series and Functions
  2. 6.2Properties of Power Series
  3. 6.3Taylor and Maclaurin Series
  4. 6.4Working with Taylor Series

Chapter 7: Parametric Equations and Polar Coordinates

  1. 7.1Parametric Equations
  2. 7.2Calculus of Parametric Curves
  3. 7.3Polar Coordinates
  4. 7.4Area and Arc Length in Polar Coordinates
  5. 7.5Conic Sections