Math 153 Final Exam Check List



This is the check list I use to make the final exam.  These are the things that I think are important in the course, so they will most likely show up on the final.
  1. Limits
  2. Limits at infinity
  3. Continuity (and one-sided limits)
  4. Derivative by the definition
  5. Differentiate a polynomial
  6. Product rule
  7. Quotient rule
  8. Higher order derivatives
  9. Chain rule - generalized power rule
  10. Marginal analysis
  11. Implicit differentiation
  12. Related rates
  13. Relative extrema
  14. Second derivative test
  15. Optimization
  16. Additional optimization problems
  17. Differentiate log functions
  18. Differentiate exponential functions
  19. Differentiate trig functions
  20. Indefinite integrals
  21. Integration by substitution
  22. Definite integrals - area under a curve
  23. Area between curves
  24. Average value of a function
  25. Integrating using tables