Class InfoClass Number: Math 306Dates: Mar 2, 2012 - Jun 8, 2012 Room: NS 319 Meeting time:
Text: Robert G. Bartle, The Elements of Integration and Lebesgue Measure, Wiley 1995 Optional suggested reading: Tom M. Apostol, Mathematical Analysis, 5. ed., Addison-Wesley 1981 Walter Rudin, Real & Complex Analysis, 3. ed., McGraw Hill 1986 A gentle introduction to Measure Theory (by Gaurav Chandalia) |
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| Week | Topics | Chapters |
| 1 | Introduction | 1 & 2 |
| 2 | Measurable Functions | 2 |
| 3 | Measures | 3 |
| 4 | The Integral | 4 |
| 5 | Monotone Convergence | 4 |
| 6 | Integrable Functions | 5 |
| 7 | Lebesgue Dominated Convergence | 5 |
| 8 | Midterm Exam | |
| 9 | Lebesgue Spaces | 6 |
| 10 | Completeness Theorem | 6 |
| 11 | Modes of Convergence | 7 |
| 12 | Convergence Theorems | 7 |
| 13 | Decomposition of Measures | 8 |
| 14 | Decomposition Theorems | 8 |
| 15 | Final Exam |
| Attendance | 10% |
| Mid-term: | 40% |
| Final: | 50% |