Topics and schedule

This is the schedule for Sections 1 & 4. Different sections may have a slightly different schedule.

  • Week 1: Introduction. Review (limits, chain rule, linear approximation).
  • Week 2: Integration by substitution. Integration by parts.
  • Week 3: Trigonometric integrals. Partial fractions.
  • Week 4: Approximations. Improper integrals.
  • Week 5: Areas. Volumes.
  • Week 6: Arc length. Differential equations.
  • Week 7: Midterm 1. Catch-up and extensions.
  • Week 8: Sequences. Series.
  • Week 9: Convergence tests.
  • Week 10: Power series.
  • Week 11: Taylor Series.
  • Week 12: Midterm 2. Catch-up and extensions.
  • Week 13: Parametric curves. Calculus with parametric curves.
  • Week 14: Polar coordinates. Areas and lengths in polar coordinates.