Tentative Calendar for Math 32404, Section FG, Spring 2024

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

Course Textbooks:

Date Tentative class plan:
Mon, Jan 29 Welcome!
We will discuss how the course will work this semester.
Lebl §7.1: Metric spaces
Lebl §7.2: Open and closed sets
Wed, Jan 31 Continue Lebl §7.2: Open and closed sets
Mon, Feb 5 Lebl §7.3: Sequences and convergence
Lebl §7.4: Completeness and compactness
Wed, Feb 7 Continue Lebl §7.4: Completeness and compactness
Mon, Feb 12 College Closed
Wed, Feb 14 Finish Lebl §7.4: Completeness and compactness
Lebl §7.5: Continuous functions
Mon, Feb 19 College Closed
Wed, Feb 21 Finish Lebl §7.5: Continuous functions
Thu, Feb 22 We have class (Classes follow a Monday schedule).
Start Chapter 8.
Lebl §8.1: Vector spaces, linear mappings, and convexity
Mon, Feb 26 Lebl §8.2: Analysis with vector spaces
Wed, Feb 28 Informal review for midterm.
Mon, Mar 4 Midterm 1.
Wed, Mar 6 Continue Lebl §8.2: Analysis with vector spaces
Mon, Mar 11 Continue Lebl §8.2: Analysis with vector spaces
Lebl §8.3: The derivative
Wed, Mar 13 Continue Lebl §8.3: The derivative
Mon, Mar 18 Lebl §8.4: Continuity and the derivative
Wed, Mar 20 Continue Lebl §8.4: Continuity and the derivative
Mon, Mar 25 We will discuss how notation and derivatives.
Some discussion of Lebl §8.6: Higher order derivatives
Finish Lebl §8.4: Continuity and the derivative
Lebl §8.5: Inverse and implicit function theorems
Wed, Mar 27 Continue Lebl §8.5: Inverse and implicit function theorems
Mon, Apr 1 Finish Lebl §8.5: Inverse and implicit function theorems
Review.
Wed, Apr 3 Midterm 2.
Mon, Apr 8 Start Chapter 9.
Lebl §9.1: Differentiation under the integral
Wed, Apr 10 Lebl §9.2: Path integrals
Mon, Apr 15 Lebl §9.3: Path independence
Wed, Apr 17 Lebl §9.3: Path independence
Mon, Apr 22 Spring Break
Wed, Apr 24 Spring Break
Mon, Apr 29 Spring Break
Wed, May 1 Start Chapter 10.
Lebl §10.1: Riemann integral over rectangles
Mon, May 6 Lebl §10.2: Iterated integrals and Fubini theorem
Lebl §10.3: Outer measure and null sets
Wed, May 8 Finish Lebl §10.3: Outer measure and null sets
Lebl §10.4: The set of Riemann integrable functions
Mon, May 13 Lebl §10.5: Jordan measurable sets
Wed, May 15 Lebl §10.6: Green’s theorem
Lebl §10.7: Change of variables

The Final Exam will be held when the final exam is scheduled by the college: Monday, May 20th from 3:30pm to 5:45pm.


Relevant links:
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Last modified on October 21, 2024.
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