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.