Advanced Calculus

Fall 2011

Week 1 (Aug 29 - Sep 2)

  • Chapter 1 [4]: Basic Tools

Week 2 (Sep 5 - Sep 9) **Events Calendar**

  • Labor Day (No Class)
  • Chapter 2 [6]: Sequences

Week 3 (Sep 12 - Sep 16) **Events Calendar**

  • 2.3: Monotone Convergence
  • 2.3/2.4 Monotone, Seq. Compact
  • 2.4 Sequential Compactness
  • Board Day

Week 4 (Sep 19 - Sep 23)

  • 3.1 Continuity
  • Review: 3.2 Extreme Value Theorem
  • Exam One: Thursday
  • 3.2 EVT

Week 5 (Sep 26 - Sep 30)

  • 3.3 IVT
  • 3.4 Uniform Continuity
  • 3.5 Eps/Delta of Continuity
  • Board Day

Week 6 (Oct 3 - Oct 7)

  • 3.6 Inverses
  • 3.7 Limits (4.1 Reading Assignment)
  • 4.2: Derivs of Inverses
  • Board Day

Week 7 (Oct 10 - Oct 14) **Events Calendar**

  • 4.3: MVT
  • Review
  • Exam Two: Thursday
  • 4.4 Cauchy MVT (4.5 Reading)

Week 8 (Oct 17 - Oct 21)

  • Fall Break
  • Fall Break
  • 6.1 Darboux Sums
  • Board Day

Week 9 (Oct 24 - Oct 28)

  • 6.1 Archimedes-Riemann
  • 6.1 Additivity, etc.
  • 6.2
  • 6.2

Week 10 (Oct 31 - Nov 4)

  • 6.3 Additivity, etc.
  • 6.4 Continuity
  • 6.5: 1st FTC
  • Catch UP

Week11 (Nov 7 - Nov 11) **Events Calendar**

  • 6.6 2nd FTC
  • Review / 7.1: ODE's
  • Exam Three: Thursday
  • 7.1: ODE's (7.2 Reading)

Week 12 (Nov 14 - Nov 18) **Events Calendar**

  • 7.3 Convergence of Sums
  • 7.4: Approximating Integrals
  • Catch up
  • Catch up

Week 13 (Nov 21 - Nov 25)

  • 8.1: Taylor Polys
  • 8.2: Lagrange Remainder
  • Thanksgiving
  • Thanksgiving

Week 14 (Nov 28 - Dec 2)

  • Chapter 8
  • Chapter 8
  • Chapter 8
  • Chapter 8

Week 15 (Dec 5 - Dec 9)

  • Review
  • Exam 4: Tuesday
  • No Class (Reading Period)

Notes

  1. 53 Class days