This calendar is extremely tentative, but should give a general idea of what topics we will cover.
Course Textbooks:
| Date | Tentative class plan: |
| Wed, Aug 28 | Welcome! We will discuss how the course will work this semester. Lebl §7.1: Metric spaces Lebl §7.2: Open and closed sets |
| Mon, Sep 2 | College Closed |
| Wed, Sep 4 | Continue Lebl §7.2: Open and closed sets |
| Mon, Sep 9 | Lebl §7.3: Sequences and convergence Lebl §7.4: Completeness and compactness |
| Wed, Sep 11 | Continue Lebl §7.4: Completeness and compactness |
| Mon, Sep 16 | Finish Lebl §7.4: Completeness and compactness Lebl §7.5: Continuous functions |
| Wed, Sep 18 | Finish Lebl §7.5: Continuous functions |
| Mon, Sep 23 | Start Chapter 8. Lebl §8.1: Vector spaces, linear mappings, and convexity |
| Wed, Sep 25 | Finish Lebl §8.1: Vector spaces, linear mappings, and convexity |
| Mon, Sep 30 | Midterm 1. |
| Wed, Oct 2 | No classes scheduled |
| Mon, Oct 7 | Lebl §8.2: Analysis with vector spaces |
| Wed, Oct 9 | Continue Lebl §8.2: Analysis with vector spaces |
| Mon, Oct 14 | College Closed |
| Tue, Oct 15 | We have class (Classes follow a Monday schedule). Finish Lebl §8.2: Analysis with vector spaces Lebl §8.3: The derivative |
| Wed, Oct 16 | Finish Lebl §8.3: The derivative |
| Mon, Oct 21 | Lebl §8.4: Continuity and the derivative Lebl §8.6: Higher order derivatives |
| Wed, Oct 23 | Lebl §8.5: Inverse and implicit function theorems |
| Mon, Oct 28 | Continue Lebl §8.5: Inverse and implicit function theorems |
| Wed, Oct 30 | Start Chapter 9. Lebl §9.1: Differentiation under the integral |
| Mon, Nov 4 | Lebl §9.2: Path integrals |
| Wed, Nov 6 | Lebl §9.2: Path integrals |
| Mon, Nov 11 | Lebl §9.3: Path independence |
| Wed, Nov 13 | Midterm 2. |
| Mon, Nov 18 | Lebl §9.3: Path independence |
| Wed, Nov 20 | Start Chapter 10. Lebl §10.1: Riemann integral over rectangles |
| Mon, Nov 25 | Lebl §10.2: Iterated integrals and Fubini theorem Lebl §10.3: Outer measure and null sets |
| Wed, Nov 27 | No class: Classes follow a Friday schedule |
| Mon, Dec 2 | Finish Lebl §10.3: Outer measure and null sets Lebl §10.4: The set of Riemann integrable functions |
| Wed, Dec 4 | Lebl §10.5: Jordan measurable sets |
| Mon, Dec 9 | Lebl §10.6: Green’s theorem Lebl §10.7: Change of variables |
| Wed, Dec 11 | Class plan to be announced. |
The Final Exam will be held when the final exam is scheduled by the college: Wednesday, December 18th from 1:00pm to 3:15pm.