Concepts of Real Analysis

An introduction to rigorous analytic proofs involving properties of real numbers, continuity, differentiation, integration, and infinite sequences and series.

Week 1 (8/25 - 8/29)

Monday Wednesday Friday

Week 2 (9/1 - 9/5)

Monday Wednesday Friday
  • Labor Day
  • No Class

Week 3 (9/8 - 9/12)

Monday Wednesday Friday

Week 4 (9/15 - 9/19)

Monday Wednesday Friday
  • Review
  • Review

Week 5 (9/22 - 9/26)

Monday Wednesday Friday
  • Exam I

Week 6 (9/29 - 10/3)

Monday Wednesday Friday
  • Monotone Sequences
  • Notes

Week 7 (10/6 - 10/10)

Monday Wednesday Friday
  • Limits of Funtions
  • Notes
  • Continuous Functions
  • Notes
  • Uniform Continuity I
  • Notes

Week 8 (10/13 - 10/17)

Monday Wednesday Friday
  • Uniform Continuity II
  • Notes
  • The Mean Value Theorem
  • Notes

Week 9 (10/20 - 10/24)

Monday Wednesday Friday
  • Review
  • Review

Week 10 (10/27 - 10/31)

Monday Wednesday Friday

Week 11 (11/3 - 11/7)

Monday Wednesday Friday
  • Properties of the Riemann Integral
  • Notes
  • Fundamental Theorem of Calculus I
  • Notes

Week 12 (11/10 - 11/14)

Monday Wednesday Friday
  • Fundamental Theorem of Calculus II
  • Notes
  • Taylor's Theorem Revisited I
  • Notes
  • Taylor's Theorem Revisited II
  • Notes

Week 13 (11/17 - 11/21)

Monday Wednesday Friday
  • Review
  • Review
  • Exam III

Week 14 (11/24 - 11/28)

Monday Wednesday Friday
  • Thanksgiving
  • Thanksgiving
  • Thanksgiving

Week 15 (12/1 - 12/5)

Monday Wednesday Friday
  • Convergence Tests
  • Notes

Week 16 (12/8 - 12/12)

Monday Wednesday Friday
  • Pointwise Convergence
  • Notes
  • Uniform Convergence
  • Notes
  • Review