Lesson 1: Topics Map

Return Calculus_II_WSG

Topics to be covered and order

  1. Fundamental Theorem of Calculus
  2. Indefinite Intgrals and the Substitution Rule
  3. Differentiation of composite functions
  4. Substitution in Definite Integrals
  5. Area between Curves
  6. Volumes by cross-section method
  7. Volumes by Disk method
  8. Volumes by Washer Method
  9. Volume by Cylindrical Shells
  10. Length of Planar Curves
  11. Moments and Center of Mass
  12. Surface Area
  13. Work
  14. Fluid Forces
  15. Logarithm as integral ln(|u|) + C = \int {1 \over u} du
  16. Exponential Growth and decay
  17. Hyperbolic Functions
  18. Integration Formulas
  19. Integration by Parts
  20. Integration of Rational Functions (Partial Fractions)
  21. Trigonometric Integrals
  22. Numerical Integration
  23. Improper integrals
  24. First Order Differential Equations and solution
  25. L'Hopital's Rule
  26. Infinite Series

\int _{a}^{b}\!\sin \left( x \right) {dx} 

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