# Tentative Calendar for Math 32300, Section RS, Fall 2021

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 Finish § 10: Monotone and Cauchy sequences. Thu, Sep 30 Quiz 3.§ 11: Subsequences. Tue, Oct 5 First midterm held in MR 3. Thu, Oct 7 Finish § 11: Subsequences. § 12: lim sup and lim inf. Tue, Oct 12 § 14: Series. Thu, Oct 14 Quiz 4.§ 15: Alternating series and integral tests. Begin Chapter 3.§ 17: Continuous Functions. Tue, Oct 19 Finish § 17: Continuous Functions. Thu, Oct 21 Quiz 5.§ 18: Properties of Continuous Functions. § 20: Limits of Functions. Tue, Oct 26 Finishing up § 18 and § 20. Review if there is time. Thu, Oct 28 Quiz 6.§ 19: Uniform Continuity. Tue, Nov 2 § 19: Uniform Continuity (finishing chapter 3). Thu, Nov 4 Quiz 7.§ 23: Power Series. Tue, Nov 9 Second midterm held in MR 3. Thu, Nov 11 § 24: Uniform Convergence. Tue, Nov 16 Begin Chapter 5. § 28: Differentiation. § 29: The Mean Value Theorem. Thu, Nov 18 Quiz 8.§ 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 9.§ 33: Properties of the Riemann Integral. Tue, Dec 7 § 34: The Fundamental Theorem of Calculus. Thu, Dec 9 § 34: The Fundamental Theorem of Calculus.

The Final Exam will be held online as scheduled by the college: Tuesday, December 21st from 3:30pm to 5:45pm.