Date | Tentative class plan: |
Tue, Aug 28 | Welcome! Begin Chapter 1 with emphasis on §4-5: The completeness axiom and ±∞. |
Thu, Aug 30 | Finish Chapter 1. |
Tue, Sep 4 | Finish Chapter 1. Begin Chapter 2 with § 7-8: Limits of sequences and formal proofs. |
Thu, Sep 6 | More of § 7-8: Limits of sequences and formal proofs. Begin § 9: Limit Theorems for sequences. |
Tue, Sep 11 | No classes scheduled |
Thu, Sep 13 | More on § 9: Limit Theorems for sequences. |
Tue, Sep 18 | No classes scheduled |
Thu, Sep 20 | Finish § 9: Limit Theorems for sequences. Begin § 10: Monotone and Cauchy sequences. |
Tue, Sep 25 | Finish § 10: Monotone and Cauchy sequences. |
Thu, Sep 27 | First Midterm. § 11: Subsequences. |
Tue, Oct 2 | Finish § 11: Subsequences. § 12: lim sup and lim inf. |
Thu, Oct 4 | § 14: Series. |
Tue, Oct 9 | § 15: Alternating series and integral tests. Begin Chapter 3. § 17: Continuous Functions. |
Thu, Oct 11 | Finish § 17: Continuous Functions. |
Tue, Oct 16 | § 18: Properties of Continuous Functions. § 20: Limits of Functions. |
Thu, Oct 18 | Finishing up § 18 and § 20. Review if there is time. |
Tue, Oct 23 | Second Midterm. |
Thu, Oct 25 | § 19: Uniform Continuity. |
Tue, Oct 30 | § 19: Uniform Continuity (finishing chapter 3). |
Thu, Nov 1 | § 23: Power Series. |
Tue, Nov 6 | § 24: Uniform Convergence. |
Thu, Nov 8 | Begin Chapter 5. § 28: Differentiation. § 29: The Mean Value Theorem. |
Tue, Nov 13 | § 29: The Mean Value Theorem. |
Thu, Nov 15 | Finish Chapter 5. §31: Taylor's Theorem. |
Tue, Nov 20 | Third Midterm. |
Thu, Nov 22 | College closed |
Tue, Nov 27 | § 32: The Riemann Integral. |
Thu, Nov 29 | § 33: Properties of the Riemann Integral. |
Tue, Dec 4 | § 34: The Fundamental Theorem of Calculus. |
Thu, Dec 6 | § 34: The Fundamental Theorem of Calculus. |
Tue, Dec 11 | Review for Final Exam. Come with questions. |