Case Western Reserve University

Mathematics Department

MATH 322 - SYLLABUS & HOMEWORK (SPRING 2009)

Under Construction

Last updated on 4/17/09

These are tentative assignments for Dr. Szarek's Math 322/422 class (TR 1:15-2:30, section # 6451/6479). All assignments are subject to change. Additions, changes and the due dates will be announced in class and/or by email and posted on the Web (here).



Set # 1,  due Tue. Jan. 20 

5.6     p.155         3, 4, 10 


Set #2, due Tue., Jan. 27

6.1     p.166         1d, 6, 7, 8a, c, 11b, 13 (note changes/corrections)


Set #3, due Tue., Feb. 3

6.2     p.175         2c, 5, 7, 11, 16, 20 (note change: Ex. 6, 10 not assigned)
		      Extra problem


Set #4, due Tue., Feb. 10 

6.3     p.182         5, 6c, 9c, 12 (attention: before applying a rule, state precisely which theorem 
                      and which interval you are using, AND verify assumptions)


Set #5, due Tue., Feb. 17 

6.4     p.191         7 (compare estimates of errors and the actual errors), 12, 13, 14c, d


Set #6, due Tue., Feb. 24

6.4     p.191         19 
7.1     p.201         1c, 2c, d, 6b (use just the definition), 10


Set #7, due Tue., Mar. 3

7.2     p.208         4, 6, 8, 9, 11, 18 (note changes)
7.3     p.217         20a

Note: 4, 8, 9 are very simple; 18 is on the hard side.


Thursday, March 5, Midterm Exam
Will cover section 5.6, chapter 6 and sections 1-2 of chapter 7.
It will also cover the concept of the "null set" and Lebesgue 
Integrability Criterion from section 7.3 (but not the Fundamental 
Theorem of Calculus).


Set #8, due Tue., Mar. 17 

7.3     p.217         7, 9c, 10, 11b


Set #9, due Tue., Mar. 24 

7.3     p.217         16c, 18c, 19a, b

Numerical integration project is due on Friday, March 27


Set #10, due Tue., Mar. 31 

8.1     p.232         6, 8, 18
8.2     p.238         3

Reading assignment: read section 8.1 and lightly section 8.2.
We will still do proofs and examples/exercises from these 
sections next week.


Set #11, due Tue., Apr. 7 

8.1     p.232         11, 20
8.2     p.238         6, 9, 12


Set #12, due Tue., Apr. 14 

8.3     p.245         3, 11c, 12d
8.4     p.251         4 
9.1     p.256         2, 8, 9
9.2     p.262         14


Set #13, due Tue., Apr. 21

9.1     p.256         5
9.2     p.262         2c, 3a (p>0), c, 4d, f
9.3     p.266         3, 15a, c 
		      Note: part (c) is extra credit
		      It is tricky, use the argument from Example 3.4.6(c)
9.4     p.272         2


Set #14, doesn't have to be turned in 
(it will not be graded, but you will get extra credit for 
turning it in before the final)

9.4     p.272         6d, e, f, 19
11.1	p.318	      4, 5, 18
11.2	p.322	      1, 2, 6, 7


Final exam:  Monday, May 4, 12:30PM - 3:30PM, Sears 356
NOTE: NOT our usual room room!

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