MATH
245B
Winter 2007
MWF 12:00 MS 5117, and Tues 12:00 MS 5117
Office hours:
J. Garnett: MWF 11:00 in MS 7941
William Meyerson, TBA
Text: E. M. Stein and
R. Shakarchi, Real
Analysis,
MeasureTheory, Integration, and Hilbert Spaces, (0-691-11386-6) (required).
We will cover all of
Stein-Shakarchi in 245A and B.
Grade: The maximum
of:
(Homework 40%, final 60%), or (Homework 60%,
final 40%).
Homework: You must present at least one homework
problem at the blackboard in quiz section. There will be 6 -8 homework
sets, including some very challenging problems.
Prerequisites: 245A with grade of B- or better, or
instructor's permission.
Homework 1 (due Jan. 17, , in
class): Page 193 ; Exercises 21, 22, 23, 24, 25, 26,
27, 28, 29, 30, 34, 35. Page
202, Problems 1, 2, (a, b).
Homework 2 (due Jan. 26 , in
class): Page 193; Exercise 17. Page 253; Exercises 1, 3, 4, 6,
7, 8, 12, 13, 14. Page 202; Problems 7, 8, 9 (hints for 8
forthcoming). Page 259, Problem 6.
Homework 3 (due Feb. 12, in
class): Page 253; Exercises 9 (read page 220
first), 15, 16, 18. Page 259; Problem 5. Page 312; Exercises 3, 4, 5,
8, 9, 10. Page 319; Problems 1, 2.
Homework
4 (due Feb. 26, in
class): Page 312; Exercises 11, 14, 15, 16, 17, 18, 19, 20, 21,
24, 25.
Homework 5 (due March 9, in class): Page
312; Exercises 26, 27, 28. Page 319. Problems 3 (except for
last sentence about formulas in Book I), 6, 8. Page 380. Exercises 2,
3, 4, 5, 6.
Final Exam: March 17, Saturday, 2
-5. MS 6221 (note room change).
TypesetbyAMS-TEX
1