Date | Tentative class plan: |
Tue, Jan 31 | Welcome! Begin Chapter 1 with emphasis on §4-5: The completeness axiom and ±∞. |
Thu, Feb 2 | More on chapter 1. |
Tue, Feb 7 | Finish Chapter 1. |
Thu, Feb 9 | Snow day |
Tue, Feb 14 | § 7: Limits of sequences § 8: Formal proofs |
Thu, Feb 16 | More practice with § 8: Formal proofs |
Tue, Feb 21 | § 9: Limit Theorems for sequences. |
Thu, Feb 23 | First Midterm. More on § 9: Limit Theorems for sequences. |
Tue, Feb 28 | § 10: Monotone and Cauchy sequences. |
Thu, Mar 2 | § 11: Subsequences. |
Tue, Mar 7 | Finish § 11: Subsequences. § 12: lim sup and lim inf. |
Thu, Mar 9 | § 14: Series. |
Tue, Mar 14 | Snow day |
Thu, Mar 16 | Second Midterm. § 15: Alternating series and integral tests. |
Tue, Mar 21 | Begin Chapter 3. § 17: Continuous Functions. |
Thu, Mar 23 | Finish § 17: Continuous Functions. Start § 18: Properties of Continuous Functions. |
Tue, Mar 28 | Finish § 18: Properties of Continuous Functions. § 20: Limits of Functions. |
Thu, Mar 30 | § 19: Uniform Continuity. |
Tue, Apr 4 | § 19: Uniform Continuity (finishing chapter 3). |
Thu, Apr 6 | Third Midterm. § 23: Power Series. |
Tue, Apr 11 | Spring break |
Thu, Apr 13 | Spring break |
Tue, Apr 18 | Spring break |
Thu, Apr 20 | No class: CCNY Classes follow Monday Schedule |
Tue, Apr 25 | Begin Chapter 5. § 28: Differentiation. § 29: The Mean Value Theorem. |
Thu, Apr 27 | § 29: The Mean Value Theorem. |
Tue, May 2 | Finish Chapter 5. §31: Taylor's Theorem. |
Thu, May 4 | § 32: The Riemann Integral. |
Tue, May 9 | § 33: Properties of the Riemann Integral. |
Thu, May 11 | § 34: The Fundamental Theorem of Calculus. |
Tue, May 16 | Fourth Midterm. § 24: Uniform Convergence. |
Thu, May 18 | 25: More on Uniform Convergence. § 26: Differentiation and Integration of Power Series. |
Fri, May 19 | Make-up class at for snow day. |