Math 8201 Real Variables
Spring 2015
Prof. Peckham
Homeworks and Tests
- Set 1 Due Monday Feb. 2, 2015:
- Read Chapter 1, Introduction to Rn
- 2c-g, 10, 18ab, 19, 24, 26, 32c, 34, 36, 40ade, 43, 48, 56
- Set 2 Due Friday Feb. 13 (moved to Monday Feb. 16), 2015 :
- Read Chapter 2, sections A and B: Lebesgue Measure in Rn
- Section A: 2,3 (OK to use result of Ch 1, 31),4a,4b, 4c (hard), 5, 9,10,12, 16, 24 for A intersect B only
- Set 3 Due Wed. Feb 25, 2015:
- Read the rest of Chapter 2. Just skim the Appendix.
- Do problems: 25, 26, 28, 29, 31, 34, 43
- Set 4 Due Friday March 6, 2015:
- Read Chapter 3 and Chapter 4, Section A.
- Do Ch 3 problems: 3,6,7,8,9,11 (for invertible matrices only), 19
- Do Ch 4 problem: 1
- Exam 1 Wed. March. 11, 2015 12-2pm (or by arrangement). Covers Chapters 1 - 3, 4A. See review sheet
for list of topics.
Test 1 topic list - PDF file
- Spring Break March 14-22, 2015
- Set 5 Due Monday March. 30, 2015 :
- Read Chapter 4, except for the section on modulus of continuity.
- Do problems: 7 (1 done in Set 4)
- Read Chapter 5.
- Do problems 2,6,12,14,16,17,21,22 (for s1 + s2 only)
- Set 6 Due Friday April 10, 2015.:
- Read Chapter 6.
- Do problems: 1,2,3,4,7(extra credit), 9,10,12,16,17,20,24,35 (extra credit)
- Set 7. Due Friday April 24, 2015:
- Read Chs. 7 and 8.
- Do Ch. 7 problems 1,2,3,4(1st inequality only),6,11,17,22 (Show h is C1 only.)
Note that you must compute h'(0) directly from the definition of derivative.
- Exam 2 . Friday May 1, 2015. 12-2pm.
Covers mostly Chapters 4 - 8. See Preliminary Review Sheet for details.
Test 2 topic list - PDF file
- Final Problem Set. Due Wednesday May 13, 2015. Problems TBA.
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