MATH462 - Advanced Calculus - Spring 2007
Class Pace/Assignments Date and Time of Last Update to This
Page:
09/27/10 03:03 PM
[ Up ] [ MATH462 Class Syllabus ] [ Class Pace and Assignments ]
This page will be updated as we progress through the class so please check
regularly for updates.
Assignments (in reverse
chronological order)
|
Week &
Date of Class |
Assignment(s) Due/Quiz or Test
Scheduled |
Material Covered
|
Homework Problems |
|
Week 14
M 4/30 |
Final Exam
- Comprehensive (with an emphasis on the latter material) - 11:30 - 2:00 |
|
Week 14
F 4/27 |
Study Session
- 3:30 - 5:00 p.m. |
|
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Week 14
R 4/26 |
|
|
|
|
Week 13
T 4/24 |
Hand-In
Homework 5 Due 18.7, 18.15, 20.8b, 20.18,
21.8, 22.8 Choose One of 21.14 or 21.13 |
Cover Section
23: Uniform Continuity |
|
|
Week 13
R 4/19 |
In-Class Quiz
on Sections 18, 20, 21, and 22 |
Cover Section
22: Properties of Continuous Functions. |
- Drill
Problems: 22.1 - 22.7, 22.9, 22.13
- Add to Hand-In Homework 5: 22.8 |
|
Week 12
4/17 |
|
More from
Section 21 |
|
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Week 12
R 4/12 |
|
Finish Section
20
Cover Section
21: Continuity |
- Drill
Problems: 21.1 - 21.6, 21.9 - 21.11, 21.18
- Add to Hand-In Homework 5: 21.8, Choose
One of 21.14 or 21.13, |
|
Week 11
4/10 |
|
Start Section
20: Limits of Functions |
- Drill
Problems: 20.1 - 20.7, 20.8a, 20.9, 20.13, 20.16, 20.17
- Add to Hand-In Homework
5: 20.8b, 20.18 |
|
Week 11
4/5 |
Hand-In
Homework 4 Due (13.13, 13.20b, 13.21c, 14.12,16.14, 17.18, 17.19d
or17.19e (you pick which one you want to hand in!) |
Cover Sections
18: Monotone Sequences and Cauchy Sequences |
- Drill
Problems: 18.1 - 18.6, 18.8, 18.10, 18.11, 18.14
- Hand-In Homework
5: 18.7, 18.15 (DUE: Tuesday, 4/24) |
|
Week 10
4/3 |
Board Work Day
Sections 13,
14, 16, 17 |
|
|
|
Week 10
3/29 |
|
Cover Section
17: Limit Theorems |
- Drill
Problems: 17.1 - 17.5, 17.7 - 17.9, 17.11, 17.13, 17.14,
17.19 a,b,c
- Board
Work Problems: (17.5 d, i, j), 17.6, 17.10, 17.12, 17.15,
17.16, 17.17
- Add to
Hand-In Homework 4: 17.18, 17.19d or17.19e (you pick which one you
want to hand in!) |
|
Week 9
3/27 |
|
Cover Section
16: Convergence (of Sequences) |
- Drill
Problems: 16.1 - 16.5, 16.7, 16.8 a,b,d, 16.9 - 16.11,
- Board
Work Problems: (16.6 a,b), (16.6 c,d), 16.6e, 16.8c, 16.12, 16.15,
16.16
- Add to
Hand-In Homework 4: 16.14 |
|
Week 9
R 3/22 |
|
Finish Section
14 |
- Drill
Problems: 14.1, 14.2, 14.3, 14.4, 14.9, 14.11. Note:
Problem 14.11 introduces the reader to a very special set called the Cantor
set.
- Board
Work Problems: 14.5, 14.6, 14.7, 14.8
- Add to
Hand-In Homework 4: 14.12 |
|
Week 8
T 3/20 |
|
Finish Section
13
Start Section
14: Compact Sets |
Be sure to
read the proof of the Heine-Borel Theorem before next class period. |
|
3/12 - 3/16 |
Spring
Break!
|
|
Week 8
R 3/8 |
Midterm Exam
Covers Sections 1-8, 10-13 |
|
Week 7
T 3/6 |
|
Review for Midterm |
|
|
Week 7
R 3/1 |
Hand-In
Homework 3 Due (10.22, 10.26, 8.3 d, e (you must show your functions are bijections),
8.9, 11.6, 12.7 b, 12.12) |
Cover Section
13: Topology of the Reals |
- Drill
Problems: 13.1, 13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8, 13.11,
- Board
Work Problems: (13.3 c,d, 13.4 c,d), 13.14, 13.16, 13.17,
13.18d, 13.19, (13.20 c,d), (13.21 d,e)
- Hand-In Homework
4 Problems: 13.13, 13.20b, 13.21c |
|
Week 6
T 2/27 |
Board Work Day
Sections 8,
10, 11, 12 |
|
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Week 6
R 2/22 |
|
Finish Section
12: The Completeness Axiom |
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Week 5
T 2/20 |
|
Cover Section
11: Ordered Fields
Start Section
12: The Completeness Axiom |
- Drill
Problems: 11.1, 11.2, 11.3 (a-g, i, k), 11.5, 12.1-12.4, 12.9,
12.10
- Board
Work Problems: (11.3 h, j), (11.3 l,m), 11.7, (12.3 h,l, 12.4
h,l)12.6, 12.7 a, 12.8
- Add to
Hand-In Homework 3 Problems: 11.6, 12.7 b, 12.12 |
|
Week 5
R 2/15 |
In-Class Quiz
on Sections 6, 7, 10
Tentative Midterm Date: Thursday 3/8 |
- Finish
Section 8: Cardinality |
|
|
Week 4
T 2/13 |
Hand-In
Homework 2 (5.23c, 5.26 b and d, 6.25, 7.15g, 7.21 b and d)
Due Beginning
of Class |
- Wrap up a
few fine points and a quick induction proof.
- Start Section 8: Cardinality
|
- Drill
Problems: 8.1, 8.2, 8.3 (a-c), 8.6, 8.7, 8.11, 8.15
- Board Work Problems: 8.4, 8.5, 8.8, 8.10
- Hand-In Homework
3 Problems: 8.3 d, e (you must show your functions are bijections),
8.9 |
|
Week 4
R 2/8 |
Board-Work
Day!
Sections 5, 6,
7 |
|
|
|
Week 3
T 2/6 |
|
- Finish
Section 7: Functions
- Cover
Section 10: Natural Numbers and Induction |
- Drill
Problems: 10.1-10.5, 10.7 - 10.10, 10.12, 10.15, 10.16, 10.19,
10.21 (a)
- Board-Work Problems: 10.6, 10.11, 10.21b,
10.21c,
- Hand-In
Homework 3: 10.22, 10.26 |
|
Week 3
R 2/1 |
In-Class Quiz
on Sections 3, 4, and 5 (mostly 5) |
- Start Section 7: Functions |
- Drill
Problems: 7.1 - 7.10, 7.12 -7.14, 7.17 - 7.19, 7.22, 7.30
- Board-Work Problems: (7.16, 7.15 b, e), 7.20,
(7.21 a, c)
- Add to Hand-In Homework 2: 7.15 g, 7.21 b and d |
|
Week 2
T 1/30 |
Hand-In
Homework 1 Due Beginning of Class |
- Finish
Section 5: Basic Set Operations
- Cover Section 6: Relations |
- Drill
Problems: 6.1, 6.2, 6.7 - 6.9, 6.11, 6.13, 6.19, 6.21
- Board-Work Problems: (6.10 c, d), 6.14, (6.20,
6.22) -
Add to Hand-In Homework 2: 6.25 |
|
Week 2
R 1/25 |
Board-Work
Day!
Board Work from Sections 3 and 4 |
|
- Drill Problems: 5.1 - 5.19, 5.23 a,b, 5.25a
- Board-Work Problems: 5.20, (5.21, 5.22), (5.25 b,c,d),
NOTE: Problems in parentheses count as one board-work problem
- Hand-In Homework 2: 5.23 c, 5.26 b and d
NOTE: I will be adding more problems to this homework assignment as we
cover more material.
|
|
Week 1
T 1/23 |
Easy Quiz 1 Due Beginning of Class |
- Wrap up any loose ends in Chapter 1
- Start Chapter 2, Section 5: Basic Set Operations |
- Read Section
5, being sure to work the "practice" problems as you read. |
|
Week 1
R 1/18 |
Read Sections
1 - 4 before class. When reading the sections, be sure to work the
"practice" problems in the text (answers are provided at the end of the
section) |
Review
Material: Sections 1 - 4 (Chapter 1) |
-
Easy Quiz
1 (Due 1/23)
- Hand-In Homework 1: 3.8, 4.8, 4.16, 4.25
- Board-Work Problems: Use truth tables to
prove tautologies l, n, p, and q on page 23; (3.7 a, f, h), 4.6, (4.13 c,
4.14), (4.17, 4.19, 4.20), (4.23, 4.24). NOTE: Problems in
parentheses count as one board-work problem.
- Drill Problems: 3.6, 3.7, 4.1, 4.2, 4.4,
4.9, 4.11, 4.13, 4.15, 4.18
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