Math 133 Notes

    Review: Calculus I Notes
  1. Ch 5.2 Volumes
  2. Ch 5.4 Work
  3. Ch 6.1 Inverse functions
  4. Ch 6.2 Natural Logarithm Function
  5. Ch 6.3 Natural Exponential and Logarithm Examples
  6. Ch 6.4 General Exponential and Logarithm Examples
  7. Ch 6.5 Exponential Growth and Decay (includes Ch 9.3 Intro to Differential Equations)
  8. Ch 6.6 Inverse Trigonometric Functions
  9. Ch 6.7 Hyperbolic Functions
  10. Ch 6.8 L'Hôpital's Rule
  11. Ch 7.1 Integration by Parts
  12. Ch 7.2 Trig Integrals
  13. Ch 7.3 Trig Substitution, Integrating Square Roots
  14. Ch 7.4 Partial Fractions
    Geometric Trig Substitution
  15. Ch 7.8 Improper integrals
    Ch 7.5 Method for Integration
  16. Ch 11.1 Sequences
  17. Ch 11.2 Series
  18. Ch 11.3 Integral Test
  19. Ch 11.4 Comparison Tests
  20. Ch 11.6 Part 1 Ratio Test
  21. Ch 11.6 Part 2 Absolute Convergence (includes Ch 11.5 Alternating Series)
    Ch 11.7 Method for Convergence Testing
  22. Ch 11.8 Power Series
  23. Ch 11.9 More Power Series
  24. Ch 11.10 Taylor Series
  25. Ch 11.10−11 More Taylor Series
  26. Ch 10.1 Parametric Curves
  27. Ch 8.1 Arc Length
  28. Ch 10.2 Parametric Calculus
  29. Ch 10.3 Part 1 Polar Coordinates
  30. Ch 10.3 Part 2 Polar Graphs (same notes as Part 1)
  31. Ch 10.4 Polar Areas and Lengths
    Synthesis: Some Differential Equations
    Kepler's Laws, Newton's Equations, Euler's Method
    Collection of Methods
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