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Armstrong Calculus
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table of contents
    1. Preface
    2. Acknowledgments
  2. 1. Using Definite Integrals to Find Volume
    1. Motivating Questions
    2. Introduction
    3. Preview Activity 1
    4. The Volume of a Solid of Revolution
    5. Disk Method
    6. Washer Method
    7. Activity 1-1
    8. Activity 1-2
    9. Activity 1-3
    10. Volumes of Other Solids
    11. Volume By Cross-Sectional Area
    12. Summary
    13. Exercises
    14. Problems
  3. 2. Volume by The Shell Method
    1. Motivating Questions
    2. Introduction
    3. Preview Activity 2
    4. The Shell Method
    5. Activity 2-1
    6. Activity 2-2
    7. Summary
    8. Exercises
    9. Problems
  4. 3. Arc Length and Surface Area
    1. Motivating Questions
    2. Introduction
    3. Preview Activity 3
    4. Finding the length of a curve
    5. Arc Length
    6. Activity 3-1
    7. Surface Area of Solids of Revolution
    8. Surface Area of a Solid of Revolution
    9. Summary
    10. Exercises
    11. Problems
  5. 4. Density, Mass, and Center of Mass
    1. Motivating Questions
    2. Preview Activity 4
    3. Density
    4. Density, Mass, & Volume
    5. Mass
    6. Activity 4-1
    7. Activity 4-2
    8. Center of Mass
    9. Activity 4-3
    10. Summary
    11. Exercises
    12. Problems
  6. 5. Physics Applications: Work, Force, and Pressure
    1. Motivating Questions
    2. Introduction
    3. Preview Activity 5
    4. Work
    5. Activity 5-1
    6. Activity 5-2
    7. Activity 5-3
    8. Summary
    9. Exercises
    10. Problems
  7. 6. An Introduction to Differential Equations
    1. Motivating Questions
    2. Introduction
    3. Preview Activity 6
    4. Activity 6-1
    5. Activity 6-2
    6. Activity 6-3
    7. Slope Fields
    8. Activity 6-4
    9. Equilibrium solutions and stability
    10. Activity 6-5
    11. Summary
    12. Exercises
  8. 7. Separable differential equations
    1. Motivating Questions
    2. Introduction
    3. Preview Activity 7
    4. Activity 7-1
    5. Activity 7-2
    6. Activity 7-3
    7. Developing a differential equation
    8. Activity 7-4
    9. Activity 7-5
    10. Activity 7-6
    11. Population Growth
    12. Activity 7-7
    13. Activity 7-8
    14. Summary
    15. Exercises
  9. 8. Hyperbolic Functions
    1. Motivating Questions
    2. Introduction
    3. Hyperbolic Functions
    4. Activity 8-1
    5. Useful Hyperbolic Function Properties
    6. Activity 8-2
    7. Inverse Hyperbolic Functions
    8. Logarithmic definitions of Inverse
    9. Derivatives Involving Inverse Hyperbolic Functions
    10. Activity 8-3
    11. Exercises

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