| Date of Class | Material covered |
|---|---|
| Monday 08/26 | |
| Wednesday 08/28 | |
| Monday 09/02 | |
| Wednesday 09/04 | |
| Monday 09/09 | |
| Wednesday 09/11 | |
| Monday 09/16 | |
| Wednesday 09/18 | |
| Wednesday 09/25 | |
| Monday 10/30 | |
| Wednesday 11/02 | |
| Monday 10/07 | |
| Wednesday 10/09 | |
| Monday 10/14 | |
| Wednesday 10/16 | |
| Monday 10/21 | Helly's Theorem, definition of the Riemann-Stieltjes integration |
| Wednesday 10/23 | Riemann-Stieltjes integration: bilinearity, Cauchy criterion, examples |
| Monday 10/28 | Riemann-Stieltjes integration: Chasles relation, integration by parts, Riemann criterion |
| Wednesday 10/30 | Riemann-Stieltjes integration: intergrability of products, modules and positivity |
| Monday 11/04 | Riemann-Stieltjes integration: continuous integrand w/ BV integrator and vice versa |
| Wednesday 11/06 | Riemann-Stieltjes integration: sequences of functions and limit theorems, reduction of Riemann-Stieltjes integral to a Riemann integral, First MVT for Riemann-Stieltjes integral |
| Monday 11/11 | differentiating under the integral, preliminaries for Fourier series, complex modulus |
| Tuesday 11/12 | Exam 2, 7:00-9:00 pm |
| Wednesday 11/13 | Fourier series: trigonometric polynomials, Dirichlet kernel |
| Monday 11/18 | review of exam 2 |
| Wednesday 11/20 | Fourier series: a survey |
| Monday 11/25 | class canceled |
| Wednesday 11/27 | reading day, no classes |
| Friday 11/29 | Thanksgiving Holiday |
| Monday 12/02 | Fall redefined day, Friday classes, review for exam 3 |
| Wednesday 12/04 | Last day of classes, review for exam 3 |
| Friday 12/07 | Final examinations start, no classes |
| Monday 12/09 | Exam 3 , 3:30-5:30 pm Exam 3 material |