SUNY Geneseo Department of Mathematics

Lecture List

Math 222 01
Spring 2015
Prof. Doug Baldwin

Last modified May 7, 2015

Caveat

These are electronic records of class discussion from Math 222 01 (Calculus II). They are generally captured as a class unfolds, and slightly cleaned up afterwards. They are not clean, carefully-planned lecture notes in the usual sense. They are more an electronic equivalent of notes on the blackboard: they record some of what the instructor said, some of what students said, the things that really happened in the class—including the misunderstandings, false starts, and similar things that happen in real classes. The goal of these notes is as much to help students remember how they learned as it is to help them remember what they learned (because the “how” of learning is at least as important as the “what”).

Please make WWW or other electronic links to this page only—I want people reading these notes to see the “caveat” above.

Send comments, questions, etc. related to these notes to Doug Baldwin.

  1. Jan. 20—Introduction
  2. Jan. 21—Functions and their Inverses
  3. Jan. 22—The Natural Logarithm
  4. Jan. 27—The Natural Logarithm, Part 2
  5. Jan. 28—Exponential Functions
  6. Jan. 29—Exponential Functions, Part 2
  7. Feb. 3—Inverse Trigonometric and Hyperbolic Functions
  8. Feb. 4—L’Hôpital’s Rule
  9. Feb. 5—Integration
  10. Feb. 10—Integration by Parts
  11. Feb. 11—Integration by Parts, Part 2
  12. Feb. 12—Integrating Trigonometric Forms
  13. Feb. 17—Integration via Trigonometric Substitution
  14. Feb. 18—Integration via Partial Fractions
  15. Feb. 19—Integration via Partial Fractions, Part 2
  16. Feb. 24—Integration via Partial Fractions, Part 3
  17. Feb. 25—Numerical Integration
  18. Feb. 26—Improper Integrals
  19. Mar. 3—Exam 1, no lecture notes
  20. Mar. 4—Separable Differential Equations
  21. Mar. 5—Torricelli’s Law
  22. Mar. 10—First Order Linear Differential Equations
  23. Mar. 11—RL Circuits and Differential Equations
  24. Mar. 12—Differential Equation Examples
  25. Mar. 24—Infinite Sequences
  26. Mar. 25—Infinite Sequences, Part 2
  27. Mar. 26—Introduction to Infinite Series
  28. Mar. 31—The Integral Test for Convergence
  29. Apr. 1—Comparison Tests for Convergence
  30. Apr. 2—Absolute Convergence and Related Convergence Tests
  31. Apr. 7—Alternating Series
  32. Apr. 8—Power Series
  33. Apr. 9—Introduction to Taylor Series
  34. Apr. 14—Taylor Series, Part 2
  35. Apr. 15—Review for Hour Exam 2
  36. Apr. 16—Exam 2, no lecture notes
  37. Apr. 22—Introduction to Parametric Curves and Equations
  38. Apr. 23—Calculus and Parametric Equations
  39. Apr. 28—Calculus and Parametric Equations, Part 2
  40. Apr. 29—Introduction to Polar Coordinates
  41. Apr. 30—Derivatives of Polar Functions
  42. May 5—Areas and Arc Lengths in Polar Functions