Survey of Calculus Topic Videos

Chapter 10
  1. Definition of a Function (Section 1)
  2. Domain and Range (Section 1)
  3. Vertical Line Test (Section 1)
  4. Functional Notation (Section 1)
  5. What is a Quadratic Function? (Section 2)
  6. Vertical and Horizontal Translations (Section 2)
  7. Stretching, Compressing and Reflecting Graphs (Section 2)
  8. Standard Form of a Quadratic Function (Section 2)
  9. Completing the Square (Section 2)
  10. Quadratic Application (Section 2)
  11. What is a Polynomial Function? (Section 3)
  12. What is a Rational Function? (Section 3)
  13. Rational Function Application (Section 3)
  14. Exponential Functions (Section 4)
  15. Simple Exponential Equations (Section 4)
  16. Simple and Compound Interest (Section 4)
  17. The Number e (Section 4)
  18. Interest Application (Section 4)
  19. What is a Logarithm? (Section 5)
  20. Common and Natural Logarithms (Section 5)
  21. Properties of Logarithms (Section 5)
  22. Evaluating Logarithms (Section 5)
  23. Solving Exponential Equations Using Logarithm Properties (Section 5)
  24. Solutions of Logarithm Equations (Section 5)
 Chapter 11
  1. One and Two Sided Limits (Section 1)
  2. Finding a Limit (Section 1)
  3. Existence of Limits (Section 1)
  4. Rules for Limits (Section 1)
  5. Limits at Infinity (Section 1)
  6. More Limits (Section 1)
  7. Definition of Continuity (Section 2)
  8. Continuous Functions (Section 2)
  9. Average Rate of Change (Section 3)
  10. Instantaneous Rate of Change (Section 3)
  11. Instantaneous Rate Application (Section 3)
  12. Tangent and Secant Lines (Section 4)
  13. Definition of the Derivative (Section 4)
  14. Equation of the Tangent Line (Section 4)
  15. Existence of the Derivative (Section 4)
  16. Graphical Differentiation (Section 5)
Chapter 12
  1. Derivative Notation (Section 1)
  2. Constant Rule (Section 1)
  3. Power Rule (Section 1)
  4. Derivative of a Constant Times a Function (Section 1)
  5. Sum or Difference Rule (Section 1)
  6. Marginal Analysis (Section 1)
  7. Demand Functions (Section 1)
  8. Products Versus Quotients (Section 2)
  9. Product Rule (Section 2)
  10. Quotient Rule (Section 2)
  11. Average Cost (Section 2)
  12. Composition of Functions (Section 3)
  13. The Chain Rule (Section 3)
  14. Chain Rule Application (Section 3)
  15. Derivative of Exponential Functions (Section 4)
  16. Chain Rule and Exponential Functions (Section 4)
  17. Product Rule and Exponential Functions (Section 4)
  18. Quotient Rule and Exponential Functions (Section 4)
  19. Exponential Derivative Application (Section 4)
  20. Derivative of Logarithm Functions (Section 5)
  21. More Derivatives with Logarithms (Section 5)
  22. Logarithm Derivative Applications (Section 5)
 Chapter 13
  1. Increasing and Decreasing Functions (Section 1)
  2. Critical Numbers (Section 1)
  3. Increasing / Decreasing Application 1 (Section 1)
  4. Increasing / Decreasing Application 2 (Section 1)
  5. Definition of Relative Extrema (Section 2)
  6. First Derivative Test (Section 2)
  7. Relative Extremum Applications (Section 2)
  8. Higher Derivatives (Section 3)
  9. Concavity (Section 3)
  10. Second Derivative Test (Section 3)
  11. Point of Diminishing Returns (Section 3)
Chapter 14
  1. Absolute Extrema (Section 1)
  2. How to Find the Absolute Extrema - Example 1 (Section 1)
  3. How to Find the Absolute Extrema - Example 2 (Section 1)
  4. How to Find the Absolute Extrema - Example 3 (Section 1)
  5. Applications - Maximizing Revenue (Section 2)
  6. Applications - Maximizing Area (Section 2)
  7. Applications - Minimizing Cost (Section 2)
  8. Economic Lot Size (Section 3)
  9. Economic Order Quantity (Section 3)
 Chapter 15
  1. Antiderivatives (Section 1)
  2. Indefinite Integrals (Section 1)
  3. Power Rule for Antiderivatives (Section 1)
  4. Constant Multiple Rule for Antiderivatives (Section 1)
  5. Sum or Difference Rule for Antiderivatives (Section 1)
  6. Indefinite Integrals for Exponential Functions (Section 1)
  7. Indefinite Integral of x-1 (Section 1)
  8. Antiderivative Examples - Marginal Revenue and Cost (Section 1)
  9. Integration by Substitution (Section 2)
  10. Substitution Method - Example 1 (Section 2)
  11. Substitution Method - Example 2 (Section 2)
  12. Substitution Method - Example 3 (Section 2)
  13. Substitution Method - Example 4 (Section 2)
  14. Substitution Method - Example 5 (Section 2)
  15. Substitution Method - Example 6 (Section 2)
  16. Substitution Method Application (Section 2)
  17. Undoing the Rate (Section 3)
  18. Midpoints Sums (Section 3)
  19. The Definite Integral (Section 3)
  20. Total Change (Section 3)
  21. The Fundamental Theorem of Calculus (Section 4)
  22. Properties of Definite Integrals (Section 4)
  23. Finding Areas (Section 4)
  24. Area Between Curves (Section 5)
  25. Consumers' Surplus (Section 5)
  26. Producers' Surplus (Section 5)
Chapter 16
  1. Integration By Parts (Section 1)
  2. Integration By Parts - Example 1 (Section 1)
  3. Integration By Parts - Example 2 (Section 1)
  4. Integration By Parts Tips (Section 1)