Math 3210 - 2  (Foundations of Analysis I)

University of Utah, Department of Mathematics

Fall semester 1999                                       Holger P. Kley

  
Lectures:  MWF  12:55 - 1:45 in JTB 110 Office:  JWB 126 
Hours:  M 11:50  - 12:40, Tu 12:55- 1:45 & by apptmt.  Phone:  581 - 8649 
Final:  Dec. 16, 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. 3 (Wade 1.1) and Course Info. Ross 3.1--3.5, 3.6(a); 
challenge: 3.8
9-1 9-13
2 Ross sec. 7 (Wade 1.4) . Ross 7.1(a), (c), 7.2(a), (c), 7.3(b), (c), (h), (q), 7.4(b), 7.5(a), (b).  9-8 9-15
3 Ross sec. 8,9 (Wade 1.4) . Ross 8.1(a), 8.2(b), 8.3, 8.4, 8.7(c), 8.8(a), 8.9, 9.1(c) 9-15 9-20
4 Ross sec. 9 (Wade 1.4), Ross sec. 4. Ross 9.3, 9.4, 9.6, 9.12, 9.15;  4.1--4(a), (e), (k), (n)   (but give only 2 bounds in 4.1 and 4.2). 9-22  9-29
5 Ross sec. 4, (Wade 1.3). Ross 4.6, 4.8, 4.14, 4.16 9-29 10-11
6 Ross sec. 10 (except limsup and liminf). Ross 10.1 (a), (d), (f), 10.5--7, 10.9, 10.12;  1.2, 1.6, 1.9. 10-6 10-13
7 Ross sec. 11. Ross 11.1, 11.3, 11.6. 10-13 10-22
8 Ross sec 10 on limsup and liminf; sec. 14. Ross 12.3, 12.4, 12.10;  14.1(e), 2(b), (e), 3(a), 4(c), 5, 12, 13(b).  10-20 10-29
9 Ross sec 15 and 17. Ross 15.1,  15.6,  17.1, 17.4, 17.5, 17.9 (c), 17.10(a), 17.11, 17.12, 17.13(b). 11-3 11-12
10 Ross sec. 18. Ross 18.1, 18.2, 18.4, 18.5, 18.10, 18.12. 11-10 11-17
11 Ross sec. 20 and sec. 24 Ross 20.1, 20.2, 20.4, 24.2, 24.3, 24.6, 24.10(a), 24.11. 11-17 11-29
12 Ross sec. 25 Ross 25.5, 25.6, 25.9, 25.12. 12-1 12-8
13 Ross sec. 23 and sec. 28 Ross 23.1 (b),(d),(f),  23.2(b), 23.6, 26.2, 28.1(a),(c),(e), 28.2(a),(c), 28.4, 28.8. 12-9
 


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 8 - 25
Problem 3.8 Solution 9 - 3
Test 1 9 - 24
Solution 1 9 - 24
Test 2 10 - 22
Solution 2 10 - 25
Test 3 11-19
Solution 3 11-29

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