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.
Relevant links:
Return to the course website
Last modified on September 16, 2021.
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