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.