This calendar is extremely tentative, but should give a general idea of what topics we will cover.
Course Textbooks:
| Date | Tentative class plan: |
| Tue, Feb 2 | Welcome! Notebook: The Tent Map and the Cantor Set [download] [view] |
| Thu, Feb 4 | Silva: § 2.1: Lebesgue Outer Measure Silva: § 2.2: The Cantor Set and Null Sets |
| Tue, Feb 9 | Silva: § 2.3: Lebesgue Measurable Sets Silva: § 2.4: Countable Additivity Dynamical construction of a non-measurable set |
| Thu, Feb 11 | Silva: § 2.5: Sigma-Algebras and Measure Spaces Silva: § 2.6: The Borel Sigma-Algebra |
| Tue, Feb 16 | Silva: § 3.2-3.3: Measure Preserving Transformations Finished Silva: § 2.6: The Monotone Class Theorem |
| Thu, Feb 18 | Silva: § 2.7: Approximation with Semi-rings Silva: § 3.4: Measurable transformations |
| Tue, Feb 23 | Going over homework problems. |
| Thu, Feb 25 | Silva: § 2.8: Measures from Outer Measures |
| Tue, Mar 2 | |
| Thu, Mar 4 | |
| Tue, Mar 9 | |
| Thu, Mar 11 | |
| Tue, Mar 16 | |
| Thu, Mar 18 | |
| Tue, Mar 23 | |
| Thu, Mar 25 | Midterm. |
| Tue, Mar 30 | Spring break |
| Thu, Apr 1 | Spring break |
| Tue, Apr 6 | |
| Thu, Apr 8 | |
| Tue, Apr 13 | |
| Thu, Apr 15 | |
| Tue, Apr 20 | |
| Thu, Apr 22 | |
| Tue, Apr 27 | |
| Thu, Apr 29 | |
| Tue, May 4 | |
| Thu, May 6 | |
| Tue, May 11 | |
| Thu, May 13 |