Tentative Calendar for Math 32404, Section GH, Spring 2021

This calendar is extremely tentative, but should give a general idea of what topics we will cover.

Course Textbooks:

Date Tentative class plan:
Mon, Feb 1 Welcome!
Folland § 1.1-1.2: Introduction to Metric Spaces and Euclidean Spaces.
Also covering § 13 of Ross.
Wed, Feb 3 Continuation of the prior topic.
Mon, Feb 8 Quiz 1.
Folland § 1.3-1.5: Limits, Continuity, Sequences, and Completeness.
Also covering § 13 and 21 of Ross.
Wed, Feb 10 § 1.6: Compactness.
Also covering parts of § 13 and 21 of Ross.
Mon, Feb 15 College closed
Wed, Feb 17 § 1.7: Connectedness (also covering Ross § 22).
§ 1.8: Uniform Continuity.
Mon, Feb 22 Quiz 2.
§ 2.1-2.2: Differentiability
Wed, Feb 24 § 2.3: The chain rule
§ 2.10: Vector valued functions
Mon, Mar 1 More on the chain rule
§ 2.4: The mean value theorem
Wed, Mar 3 First Midterm.
Mon, Mar 8 § 2.6: Higher-Order partial derivatives
§ 2.7: Taylor's Theorem (multiple variables)
Wed, Mar 10 § 2.8: Critical Points
Mon, Mar 15 § 2.9: Extreme Values
Wed, Mar 17 § 3.1-3.2: The Implicit Function Theorem and curves in the plane
Mon, Mar 22 § 3.1&3.3: The Implicit Function Theorem and Surfaces in R3
Wed, Mar 24 § 3.4: Transformations and coordinate systems
Mon, Mar 29 Spring break
Wed, Mar 31 Spring break
Mon, Apr 5 § 4.1: Review of integration on the line
§ 4.2: Integration in Rn
Wed, Apr 7 4.2: Integration in Rn
Mon, Apr 12 Second Midterm.
Wed, Apr 14 4.2: Integration in Rn
Mon, Apr 19 § 4.3: Multiple and iterated integrals
Wed, Apr 21 § 4.4: Change of variables
Mon, Apr 26 § 5.1: Arc length and line integrals
Wed, Apr 28 § 5.2: Green's Theorem
Mon, May 3 § 5.2: Green's Theorem
§ 5.3: Surface area and surface integrals
Wed, May 5 § 5.3: Surface area and surface integrals
§ 5.4: Vector Integrals
Mon, May 10 § 5.5: The Divergence Theorem
Wed, May 12 § 5.7: Stoke's Theorem
Mon, May 17 § 5.8: Integrating vector derivatives

The final exam schedule has not been announced yet.
Relevant links:
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Last modified on February 24, 2021.
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