Riemann integration; measurable functions; measures; the Lebesgue integral; integrable functions; Lp spaces; modes of convergence; decomposition of measures; product measures; Lebesgue measure.
Text: The Elements of Integration and Lebesgue Measure by Bartle
Grading: Grades will be based on daily homework assignments, two midterm exams, and a final exam. Homework counts 25% toward your final grade, as does each exam.
Midterm dates are TBA. The final exam is scheduled for Tuesday, May 8, 6:00 -- 8:00 pm.
Office hours will be held MWF 11:00 -- 12:00 in Cupples I room 207B. You can also contact the professor by email at nweaver@math.wustl.edu.
Homework assignments:
1. p. 15: 2.D, 2.E, 2.F, 2.G, 2.H due Tuesday, January 24
2. p. 17: 2.N, 2.O, 2.P, 2.Q, 2.U due Thursday, January 26
3. p. 24: 3.D, 3.N, 3.R, 3.U due Tuesday, January 31
4. p. 23: 3.B, 3.H, 3.I, 3.J due Thursday, February 2
5. p. 37: 4.H, 4.Q, 4.R, 4.S due Tuesday, February 7
6. p. 37: 4.J, 4.K, 4.T, 4.U due Thursday, February 9
7. p. 48: 5.E, 5.G, 5.I, 5.J due Tuesday, February 14
8. p. 49: 5.L, 5.M, 5.O due Thursday, February 16
9. handout: A.A, A.B, A.C, A.D due Tuesday,
February 21
10. handout: A.E, A.F, A.G, A.H due Tuesday,
February 28
11. p. 93: 8.B, 8.D due Thursday, March 1
12. p. 93: 8.E, 8.F, 8.H due Tuesday, March 6
13. p. 94: 8.M, 8.N, 8.O due Thursday, March 8
14. p. 62: 6.C, 6.D, 6.E, 6.G, 6.H due Tuesday, March 20
15. p. 62: 6.K, 6.L, 6.N, 6.U due Thursday, March 22
16. p. 64: 6.V; p. 95: 8.S, 8.U due Tuesday, March 27
17. p. 120: 10.C, 10.D, 10.E, 10.F due Thursday, March 29
18. p. 121: 10.G, 10.J, 10.K, 10.O due Tuesday, April 10
19. handout: 1.A, 1.B, 1.C due Tuesday, April 17
20. handout: 2.A, 2.B, 2.C, 2.D, 3.A due
Thursday, April 19
21. handout: 3.A, 3.B, 4.A, 4.B due
Tuesday, April 24
22. handout: 5.A, 5.B, 6.A, 6.B, 7.A due
Thursday, April 26
23. handout: 7.B, 8.A, 8.B, 9.A, 9.B due
Friday, May 4