MATH462 - Advanced Calculus - Fall 2008
Class Pace/Assignments Date and Time of Last Update to This
Page:
11/16/10 02:41 PM
[ Up ] [ MATH 462 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 |
|
Final Exam
Week |
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Week 14
R 12/2 |
|
Review for
Final |
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Week 14
T 11/30 |
Hand-In
Homework 5 Due |
Select Topics |
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Week 13
T 11/23 |
|
Section 23:
Uniform Continuity |
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Week 13
R 11/18 |
Quiz 4 ready
by end of class today. You must complete it before class on 11/23 -
Covers Sections 19, 20 and 21 |
Wrap up
Section 21: Continuity
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
T /16 |
|
Wrap up
Section 20: Limits of Functions
Start Section 21: Continuity |
- Drill
Problems: 21.1 - 21.6, 21.9, 21.10, 21.13, 21.18
- Add to Hand-In Homework 5: 21.8, 21.14 |
|
Week 12
R 11/11 |
Hand-In
Homework 4 Due 16.6 (e), 16.13
(the squeezing theorem), 16.14, 17.18, 17.19d or17.19e (you pick which one
you want to hand in!), 18.7, 18.15, 19.18 |
Finish Section
20: Limits of Functions
|
- Drill
Problems: 20.1 - 20.7, 20.8, 20.9, 20.13, 20.16, 20.18,
20.8b
- Hand-In Homework
5: 20.6 c, 20.17 |
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Week 11
T 11/9 |
|
Section 20:
Limits of Functions |
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Week 11
R 11/4 |
Quiz 3 ready
by end of class today. You must complete it before class on
11/9. It covers Sections 16, 17, and 18 |
Section 19:
Subsequences |
- Drill
Problems: 19.1, 19.3, 19.4, 19.6, 19.7(a,b)
- Add to Hand-In Homework
4: 19.18 |
|
Week 10
T 11/2 |
Board Work Day
(16.6 b, c),
16.12, (17.5 d, i, j), 17.6, 17.12, 17.15, 17.17, 18.4, 18.8 or 18.10
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Week 10
R 10/28 |
|
Finish Section
17: Limit Theorems
Section 18:
Monotone Sequences and Cauchy Sequences |
Drill
Problems: 18.1 - 18.6, 18.8, 18.10, 18.11, 18.14
- Board
Work Problems: 18.4, 18.8, 18.10, 18.14
- Add to Hand-In Homework
4: 18.7, 18.15 |
|
Week 9
T 10/26 |
|
Finish
Section 16: Convergence
Start Section
17: Limit Theorems |
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Week 9
R 10/21 |
|
More on
Section 16: Convergence
|
- 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 8
T 10/19 |
Midterm Exam should
be completed before class today. |
Finish the
proof of the Heine-Borel Theorem
Start Section 16: Convergence |
- Drill
Problems: 16.1 - 16.5, 16.7, 16.8 a,b,d, 16.9 - 16.11,
- Board
Work Problems: (16.6 a, d), (16.6 b, c), 16.8c, 16.12, 16.15,
16.16
- Hand-In Homework 4: 16.6 (e), 16.13
(the squeezing theorem), 16.14 |
|
Week 8
R 10/14 |
Midterm Exam
Ready by the End of Class today. You should complete it before the
next class period. |
Finish Section
14: Compact Sets |
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|
Week 7
R 10/7 |
Hand-In
Homework 3 Due by 5:00 p.m. on Friday, 10/8:
11.6 a,b, 12.7 b, 12.12 a,b,
13.13, 13.20b, 13.21c, 14.12 |
More Section
14: Compact Sets |
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Week 7
T 10/5 |
Quiz 2 should
be completed before class today. |
Finish Section
13: Topology of the Reals
Start Section
14: Compact Sets |
- 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
3: 14.12 |
|
Week 6
R 9/30 |
Quiz 2 ready
by end of class. Must complete before class on Tuesday 10/5
Covers
Sections 8, 10, 11, 12, and 13 |
More on
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)
- Add to Hand-In Homework
3 Problems: 13.13, 13.20b, 13.21c |
|
Week 6
T 9/28 |
Board Work Day
Narrowed Down
Problems: (7.21 a, c), 8.5, 8.10, 11.3 l, 11.7, (12.3 h.l,12.4 h,l),
12.7 a, 12.8, Note that problems in parentheses count as one board-work
problem. |
|
Week 5
R 9/23 |
|
- Finish Section 12: The Completeness Axiom
- Start
Sections 13 and 14: Topology of the Reals and Compact Sets. |
|
|
Week 5
T 9/21 |
Hand-In
Homework 2 Due Beginning of Class
7.15 g, 7.21 b and d, 7.20, 8.3 d, e (you
must show your functions are bijections),
8.9, 10.22, 10.26 |
- Finish
Section 11: Ordered Fields
- Cover 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
- Hand-In Homework 3 Problems: 11.6 a,b, 12.7 b, 12.12 a,b |
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Week 4
R 9/16 |
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- Start
Section 11: Ordered Fields |
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Week 4
T 9/14 |
Quiz 1 should
be completed before class today. |
- Finish
Section 8
- Review
Section 10: Natural Numbers and Induction |
- Drill
Problems: 10.1-10.56 10.7 - 10.10,10.11, 10.12, 10.15, 10.16, 10.19,
10.21 (a)
- Board-Work Problems: 10.21b,
10.21c
- Add to
Hand-In
Homework 2: 10.22, 10.26 |
|
Week 3
R 9/9 |
Quiz 1 ready
by end of class today. You must complete it before class on Tuesday
9/14. It covers Sections 5, 6, and 7 |
- 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 (a,d,e
- see Defn 8.14), 8.10
- More Hand-In Homework
2 Problems: 8.3 d, e (you must show your functions are bijections),
8.9 |
|
Week 3
T 9/7 |
Hand-In
Homework 1 Due Beginning of Class
5.23 c, 5.26 b and d |
- Finish
Section 7 - Functions |
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Week 2
R 9/2 |
Board Work Day
5.20, (5.21, 5.22), (5.25 b,c,d), (6.10 c, d) |
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Week 2
T 8/31 |
|
- More from
Section 7 - Functions |
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Week 1
R 8/26 |
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- Finish
Sections 5 and 6
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), (7.21 a, c)
- Hand-In Homework 2: 7.15 g, 7.21 b and d,
7.20 |
|
Week 1
T 8/24 |
|
- Go over
syllabus.
- Review
Sections 5 and 6, - - Basic Set Operations and Relations |
- Drill Problems: 5.1 - 5.19, 5.23 a,b, 5.25a, 6.1
(a-c), 6.7 - 6.9
- Board-Work Problems: 5.20, (5.21, 5.22), (5.25 b,c,d),
(6.10 c, d) NOTE: Problems in parentheses count as one board-work problem.
- Hand-In Homework 1: 5.23 c, 5.26 b and d, NOTE: I
will be adding more problems to
this homework assignment as we cover more material.
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Week 0
(i.e. before class starts) |
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Read Sections 1 - 6 before class starts.
This material is a review of most of what you learned in MATH 300.
When reading the sections you should work the
"practice" problems in the text (answers are provided at the end of the
section). |
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