This calendar is extremely tentative, but should give a general idea of what topics we will cover.
Course Textbooks:
| Date | Tentative class plan: |
| Thu, Aug 26 | Welcome! Begin Chapter 1. Covered §1-3: The natural numbers, induction, and ordered fields (the Rationals and Reals). |
| Tue, Aug 31 | Finished § 3. Began § 4: The completeness axiom. |
| Thu, Sep 2 | Finished § 4: The completeness axiom Discussed § 5: Infinity. A video will be posted on blackboard on § 6: Constructing the real numbers. |
| Tue, Sep 7 | No classes scheduled |
| Thu, Sep 9 | Quiz 1. Begin Chapter 2 with § 7-8: Limits of sequences and formal proofs. |
| Tue, Sep 14 | More of § 7-8: Limits of sequences and formal proofs. Begin § 9: Limit Theorems for sequences. |
| Thu, Sep 16 | No classes scheduled |
| Tue, Sep 21 | More on § 9: Limit Theorems for sequences. |
| Thu, Sep 23 | Quiz 2. Finish § 9: Limit Theorems for sequences. Begin § 10: Monotone and Cauchy sequences. |
| Tue, Sep 28 | § 10: Monotone and Cauchy sequences. |
| Thu, Sep 30 | Quiz 3. Finish § 10: Monotone and Cauchy sequences. |
| Tue, Oct 5 | First midterm. |
| Thu, Oct 7 | § 11: Subsequences. |
| Tue, Oct 12 | Finish § 11: Subsequences. |
| Thu, Oct 14 | § 12: lim sup and lim inf. § 14: Series. |
| Tue, Oct 19 | § 15: Alternating series and integral tests. Begin Chapter 3. § 17: Continuous Functions. |
| Thu, Oct 21 | Quiz 4. Continue § 17: Continuous Functions. |
| Tue, Oct 26 | Finish § 17: Continuous Functions. § 18: Properties of Continuous Functions. |
| Thu, Oct 28 | Quiz 5. Continue § 18: Properties of Continuous Functions. |
| Tue, Nov 2 | § 20: Limits of Functions. § 19: Uniform Continuity. |
| Thu, Nov 4 | Quiz 6. § 19: Uniform Continuity (finishing chapter 3). |
| Tue, Nov 9 | Second midterm in NAC 6/111 (North Academic Center, 6th floor). |
| Thu, Nov 11 | Begin Chapter 4. § 23: Power Series. § 24: Uniform Convergence. |
| Tue, Nov 16 | Finish § 24: Uniform Convergence. Begin Chapter 5. § 28: Differentiation. |
| Thu, Nov 18 | Quiz 7. § 29: The Mean Value Theorem. |
| Tue, Nov 23 | Finish Chapter 5. §31: Taylor's Theorem. |
| Thu, Nov 25 | No classes scheduled (Happy Thanksgiving!) |
| Tue, Nov 30 | § 32: The Riemann Integral. |
| Thu, Dec 2 | Quiz 8. § 33: Properties of the Riemann Integral. |
| Tue, Dec 7 | § 34: The Fundamental Theorem of Calculus. |
| Thu, Dec 9 | Course withdraw period ends December 13th according to the Academic Calendar. § 34: The Fundamental Theorem of Calculus. |