Math 3220 - 1  (Foundations of Analysis II)

University of Utah, Department of Mathematics

Spring semester 2000                                    Holger P. Kley

 
Lectures:  MWF  12:55 - 1:45 in JTB 110 Office:  JWB 126 
Hours:  M 3:05 - 3:55, Tu 11:50- 12:40 & by apptmt.  Phone:  581 - 8649 
Final: May 3, 11:30 - 1:30 Email:  kley@math.utah.edu

Texts:

The (required) texts for this course are Elementary Analysis:  The Theory of Calculus by Kenneth Ross (Springer, 1980) and An Introduction to Analysis by William Wade (Prentice Hall,).

Homework:

HW Readings (supplementary reading in parentheses) Problems Due Returned
1 Ross sec. 29 Ross 29.1(b), (e), 29.2, 29.7, 29.7, 29.10, 29.16 1-19 1-31
2 Ross sec. 31, sec. 26 Ross 31.1, 31.5, 26.2, 26.5, 26.7 1-26 2-4
3 Wade secs. 5.1, 5.2 Wade 5.1: 1, 3, 6; 5.2: 2, 3, 10. 2-2 2-11
4 Wade sec. 5.3 Wade 5.3:  1, 2, 3, 7.  Also do 4, 5, but replace "compact" with "sequentially compact."  Optional:  8, 11.  Finally, do problem (*) below. 2-16 2-28
5 Wade sec 5.5, 5.6 Wade 5.5: 2, 5;  Wade 5.6: 1, 2, 6(a).  2-23 Yknork
6 Wade secs. 5.6, 5.4 Wade 5.6: 6(b);  5.4:  3, 5. 3-1 Y
7 Wade secs. 6.1, 6.2 Wade 6.1: 1, 3(a), (b);  6.2:  1, 3, 6, 7. 3-22 Y
8 Wade secs. 6.3 Wade 6.3: 2, 4, 6, 10 3-29 4-5
9 Wade secs. 6.4 Wade 6.4: 1, 3, 4 4-5
10 Wade secs. 6.5 Wade 6.5: 2, 3, 5 4-12
11 Wade secs. 7.1 Wade 7.1: 2, 4, 7(a), 9 4-19
12 Wade secs. 7.2 Wade 7.2: 1, 2, 4, 8 4-26

(*)  Let (xk) and (yk) be sequences in Rn converging to x and y respectively.  Prove that the sequence of dot products (xk.yk) in R converges to x.y.

Handouts:

You may view handouts from this course in postscript Portable Document Format (PDF) if you have Acrobat Reader installed on your rmachine.   (If you find that you cannot read the hadnouts, you may download the (free!) Acrobat Reader (tm) software from Adobe;  just click  here. )
 
Title Date
Course Information 1 - 12
Integral Facts 1 - 14

Questions or comments?  Send email to kley@math.utah.edu .
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