Date | Tentative class plan: |
Wed, Jan 28 | Welcome! Begin Chapter 1 with emphasis on §4-5: The completeness axiom and ±∞. |
Mon, Feb 2 | More on chapter 1. |
Wed, Feb 4 | Finish Chapter 1. |
Mon, Feb 9 | § 7: Limits of sequences § 8: Formal proofs |
Wed, Feb 11 | More practice with § 8: Formal proofs |
Mon, Feb 16 | No class: College Closed (President's Day) |
Wed, Feb 18 | § 9: Limit Theorems for sequences. |
Mon, Feb 23 | More on § 9: Limit Theorems for sequences. |
Wed, Feb 25 | First Midterm. |
Mon, Mar 2 | § 10: Monotone and Cauchy sequences. |
Wed, Mar 4 | § 11: Subsequences. |
Mon, Mar 9 | Finish § 11: Subsequences. § 12: lim sup and lim inf. |
Wed, Mar 11 | § 14: Series. |
Mon, Mar 16 | § 15: Alternating series and integral tests. |
Wed, Mar 18 | Begin Chapter 3. § 17: Continuous Functions. |
Mon, Mar 23 | § 18: Properties of Continuous Functions. |
Wed, Mar 25 | Second Midterm. |
Mon, Mar 30 | § 20: Limits of Functions. § 19: Uniform Continuity. |
Wed, Apr 1 | § 19: Uniform Continuity (finishing chapter 3). |
Mon, Apr 6 | No classes (Spring break) |
Wed, Apr 8 | No classes (Spring break) |
Mon, Apr 13 | § 23: Power Series. § 24: Uniform Convergence. |
Wed, Apr 15 | § 24: Uniform Convergence. |
Mon, Apr 20 | Begin Chapter 5. § 28: Differentiation. § 29: The Mean Value Theorem. |
Wed, Apr 22 | § 29: The Mean Value Theorem. |
Mon, Apr 27 | Finish Chapter 5. §31: Taylor's Theorem. |
Wed, Apr 29 | Third Midterm. |
Mon, May 4 | § 32: The Riemann Integral. |
Wed, May 6 | § 33: Properties of the Riemann Integral. |
Mon, May 11 | § 34: The Fundamental Theorem of Calculus. |
Wed, May 13 | 25: More on Uniform Convergence. § 26: Differentiation and Integration of Power Series. |