| Professor: | Dr. Douglas Anderson |
| Ivers 234D | |
| 299-4453 | |
| andersod@cord.edu |
Office Hours: Tuesday & Thursday 1-4; other times by discovery.
Texts: An Introduction to Lebesgue Integration and Fourier Series by Howard J. Wilcox and David L. Myers.
Homework: Homework will be assigned with the intent that you will write up the proofs and present the following class. All proofs are to be rigorous, written in paragraph form with complete sentences and standard English structure, with the exception of common mathematical notation and abbreviations.
Exam: There will be one course exam.
| Grading: | Points | Scale | |||
| Homework | 100 | A 90%--100% | |||
| B 80%--89% | |||||
| Exam | 100 | C 70%--79% | |||
| D 60%--69% | |||||
| F Below 60% |
| Date | Section | Exercises |
| Mar 3 | Riemann Integral | (10) 5.11, 5.17, 5.18, 5.21, 5.25 |
| 5 | Outer Measure | (26) 9.3, 9.4, 9.5, 9.9, 9.10, 9.12, 9.13, 9.14 |
| 7 | Peace Prize Forum | Memorial Auditorium |
| 10 | Measurable Sets | (27) 9.17, 9.23, 9.25, 9.26, 9.28, 9.29 |
| 12 | Properties of Meas. Sets | (41) 16.2, 16.3, 16.5, 16.7, 16.8, 16.9 |
| 14 | Borel Sets | (42) 16.10, 16.12, 16.14, 16.15, 16.26, 16.39 |
| 17 | Lebesgue Measure | (44) 16.38 |
| 19 | Measurable Functions | (55) 20.4, 20.5, 20.6, 20.8, 20.9, 20.10, 20.11, 20.13 |
| 21 | Good Friday | No Class |
| 24 | Easter Monday | No Class |
| 26 | Properties of Meas. Func. | (57) 20.15, 20.16, 20.17, 20.20, 20.22, 20.26 | 28 | Simple Functions | (58) 20.31, 20.32, 20.35, 20.36 |
| 31 | Lebesgue Integral | (74) 26.4, 26.5, 26.6, 26.8, 26.9, 26.10 |
| Apr 2 | Integrability | (74) 26.12, 26.13, 26.14, 26.15 |
| 4 | ||
| 7 | Integral Properties | (74) 26.16, 26.17, 26.18, 26.19 (use 25.1), 26.20 |
| 9 | Unbounded Functions | (75) 26.23, 26.24, 26.32, 26.33, 26.34, 26.36 |
| 11 | ||
| 14 | Convergence Theorems | (88) 31.1, 31.3, 31.8, 31.9 |
| 16 | Egoroff & Lusin Theorems | (89) 31.4, 31.5, 31.11, 31.14, 31.20 |
| 18 | Linear Spaces | (108) 34.1, 34.5, 34.8, 34.9, 34.12 |
| 21 | L^2 Spaces | (109) 34.18, 34.21, 34.24, 34.26 |
| 23 | L^2 Spaces | (109) 34.27, 34.29, 34.32, 34.34 |
| 25 | Take-home Final | |
| 28 | No Class | work on exam |
| May 1 | Thursday | Final Exam Due |