| Assign # |
Section(s) |
Topic |
Due |
Hand In |
Bonus |
Practice |
| 1 |
1.1 |
Fields |
F 15
Jan |
3,6,9,10,13 |
8,15 |
1,4,11,14 |
| 2 | 1.2 |
Order |
F 22 Jan |
17,18,20,21 |
19 |
|
| 1.3 |
Eventual
Positivity |
33,34,35,39,40 |
36 |
38 |
||
| 3 |
1.4 |
Absolute
Value |
F 29
Jan |
22,25,26,30 |
28 |
29,32 |
| 1.5 |
Completeness |
41,43,44,47 |
49 |
42,45,46 |
||
| 4 |
1.6 |
Induction |
F 5 Feb |
50,54,55,57,60,66 |
52,67 |
53,56,58 |
| 5 |
2.1 |
Recursive
Definition |
M 15
Feb |
4,5 |
6 |
1,2,3 |
| 2.2 |
Limit
Definition |
8.9,11,12,14,16 |
18 |
7,10,13,15 | ||
| 6 |
2.3 |
Algebra of
Limits |
F 19 Feb |
19,20,22,24,27,28,29,30 |
26,31 |
21,23,25 |
| 2.4 |
Monotone
Sequences |
33,34,38 |
35,37,39 |
32,36 |
||
| 7 |
2.5 |
Subsequences |
F 26
Feb |
40,43,44 |
41,42 |
|
| 2.6 |
Cauchy
Sequences |
46,47 |
45 |
|||
| 2.7 |
Applications
of
Calculus |
48,49,51 |
50 |
|||
| 8 |
3.1 |
Summability;
Geometric Series |
W 3 Mar |
1,2,3,6,7,9,10,11,12,13 |
5 |
4,8 |
| 9 |
3.2 |
Comparison |
M
22
Mar |
15,16 |
14 |
|
| 3.4 |
Ratio
Test |
26 |
||||
| 3.5 |
Integral
Test |
27,28 |
||||
| 3.7 |
Strategy |
37(1)-(5),39 |
38 |
|||
| 10 |
3.3 |
Decimal
Expansions |
M 29 Mar |
18,20,21,23,24 |
25 |
17,19,22 |
| 3.6 |
Series with
Sign Changes |
30,31,32,33,34,35,37(6)-(7) |
36 |
29 |
||
| 11 |
Ch
4 |
Applications
to
Calculus |
W
7
Apr |
6,12,13,14,15,16,17,20,24,25 |
21,23,26 |
18,19,22,31 |
| 12 |
5.1-5.2 |
Taylor's Theorem |
W 14 Apr |
3,4,5,6,8,9 |
7 |
10 |
| 5.3 |
Operations on Series |
12,13,14 |
15 |
16,17 |
||
| 13 |
6.1 |
Domains
of
Convergence |
W 28
Apr |
1 |
3 |
2 |
| 6.2 |
Uniform
Convergence |
4,5,7,8,17 |
10,12 |
9.11,15 |
| Call Number | 22-824 |
|
| |
|
|
| Prerequisite | Calculus II for Sci & Eng (MATH 2260) | |
| Web Page | http://www.math.uga.edu/~azoff/courses/3100.html | |
| Time & Place | 12:20 - 1:10 PM MWF | 302 Boyd |
| Text | Sequences
and
Series, Course Notes for MATH 3100 (Azoff). A pdf file is available for download at http://www.math.uga.edu/%7Eazoff/courses/3100sp10.pdf; hard copies are available at Baxter Street Books (360 Baxter Street; 706-549-3081) for $12.95 |
|
| Topics | Chapter 1. Real numbers Chapter 2. Sequences Chapter 3. Series Chapter 5. Taylor's Theorem Chapter 6. Power series Chapter 4 Applications to calculus OR Chapter 7 Complex sequences and series |
3 weeks 3 weeks 2 weeks 2 weeks 2 weeks 2 weeks |
| Grading | Homework Hour Tests (3 @ 100 pts) Final Exam |
100 points 300 points 200 points |
| Homework will usually be collected once a
week; no
late work will be accepted. The comprehensive final exam will be held Noon - 3 PM on Monday May 3. |
||
| Instructor | E. Azoff | |
| e-mail Phone Office Hours |
azoff@math.uga.edu 542-2608 443 Boyd Monday thru Friday 2:30 - 3:30 P.M. |
No Office Hours on Tu March 30 W March 31 M April 5 Tu April 6 |
| Section | Hand In | Practice | Bonus |
| 1.1 |
3,6,9,10,13 |
1,4,10,11,14 |
8,15 |
Practice
problems should be looked over
early, so troublesome concepts can be brought up for class discussion.