MATH462 - Advanced Calculus - Fall 2008

Class Pace/Assignments

Date and Time of Last Update to This Page: 11/21/08 09:48 AM


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

Week 14

W 12/10

Comprehensive Final Exam

11:30 a.m. - 2:00 p.m.

Week 14

W 12/3

 

 

 

Week 13

M 12/1

Hand-In Homework 5 Due by Beginning of Class

- Cover Section 23

 

Week 13

M 11/24

Board Work Day - Sections 18, 19, 20, 21, 22

Problems 22.7, 22.9, 21.10, (20.9 b,c), 20.13, 19.4, (19.7 a,b, 18.4) (Note that problems grouped in parentheses count as one problem.

 

Quiz 3 Available after class today.  Covers Sections 18 - 22.  Due by 5:00 p.m. Tuesday 11/25

Week 12

W 11/19

 

- Cover Section 22

- Drill Problems:  22.1 - 22.7, 22.9, 22.13

- Board Work Problems: 22.6, 22.7, 22.9

- Add to Hand-In Homework 5:  22.8

Week 12

M 11/17

 

- Finish Section 20

- Cover Section 21

- Drill Problems:  21.1 - 21.6, 21.9, 21.18

- Board Work Problems:  21.9, 21.10, 21.18

- Add to Hand-In Homework 5:  21.8, Choose One of 21.14 or 21.13,

Week 11

W 11/12

 

- More from Section 20

 

Week 11

M 11/10

 

- Section 20:  Limits of Functions

- Drill Problems:   20.1 - 20.7, 20.8a, 20.9, 20.13, 20.16, 20.18

- Board Work Problems:  20.9 (b,c), 20.13

- Add to Hand-In Homework 5:  20.8b, 20.17

Week 10

W 11/5

Hand-In Homework 4 Due By 2:00 pm Thursday 11/6

- Finish Section 19

- Drill Problems:   19.1, 19.3

- Board Work Problems:  19.4, 19.6, 19.7(a,b)

- Hand-In Homework 5:  19.18 

Week 10

M 11/3

 

- Cover Section 18

- Start Section 19

- 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

W 10/29

Board Work Day

Sections 14, 16, 17

 

Select Problems:  17.5(d,i,j), 17.12, 17.6, 16.12, (16.6 c,d), (16.6e,17.15(c)), 14.5, 14.4, 14.8

Week 9

M 10/27

 

- Finish Section 17

- Add to Hand-In Homework 4:  16.15

Week 8

W 10/22

 

- Finish Section 16

- Start Section 17

- 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

M 10/20

 

- Finish Section 14

- Start Section 16

- 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 7

W 10/15

Midterm Exam will be available after class today.  You must take it in Ruffner by by 5:00 p.m. on Friday 10/17  

- 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

- Hand-In Homework 4:  14.12

Week 7

W 10/8

Study Session on Thursday 10/9 2-4 p.m.

 

Hand-In Homework 3 Due by noon on Friday 10/10

 

 

Week 6

M 10/6

Board Work Day (Narrowed down board work:  (7.16, 7.15 (b)), 8.4, 8.5, 8.10 11.7, 12.8, 13.14, 13.18 (d) only, (13.21 d,e).  Note that problems in parentheses count as one problem).

 

Quiz 2 Available after Class Today.  It covers sections 7, 8, 11, 12, and 13. You must complete it by 2 p.m. on Wednesday 10/8.

Week 6

W 10/1

 

 

 

- More from Sections 13 and 14

- 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 5

M 9/29

 

- Start Sections 13 and 14:  Topology of the Reals and Compact Sets.

 

Week 5

W 9/24

Hand-In Homework 2 Due (7.15 g, 7.21 b and d, 10.22, 10.26)

- Finish Section 12

- 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 a,b, 12.7 b, 12.12 a,b

Week 4

M 9/22

 

- Cover Section 11: Ordered Fields

- Start Section 12:  The Completeness Axiom

 

Week 4

W 9/17

  - Finish Section 8: Cardinality  

Week 3

M 9/15

 

- 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

- Hand-In Homework 3 Problems:  8.3 d, e (you must show your functions are bijections),  8.9

Week 3

W 9/10

 

- Finish Section 7

- 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,

- Add to Hand-In Homework 2:  10.22, 10.26

Week 2

M 9/8

Hand-In Homework 1 (3.8, 4.8, 4.16, 4.25, 5.23 c, 5.26 b and d, 6.25) Due Beginning of Class

- 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)

- Hand-In Homework 2:  7.15 g, 7.21 b and d

Week 2

W 9/3

Board-Work Day!

Board Work from Sections 3, 4, 5 and 6 - The seven problems are: 

(4.13 c, 4.14c), (4.17, 4.19), 5.20, (5.21, 5.22), (5.25 b,c,d), (6.10 c, d), 6.14.  NOTE:  Problems in parentheses count as one board-work problem.

 

If time permits we will start Section 7: Functions

 

Quiz 1 available after class today.  You must complete the quiz by noon on Friday 9/5.  It will cover Sections 3 - 6 (with an emphasis on 5 and 6).

 

Week 1

W 8/27

 

- Finish Section 5: Basic Set Operations

- 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 1:  6.25

Week 1

M 8/25

 

- Review of basic proof techniques

- Start Chapter 2, Section 5: Basic Set Operations

- Read Section 5, being sure to work the "practice" problems as you read.

- Drill Problems: 3.6, 3.7, 4.1, 4.2, 4.4, 4.9, 4.11, 4.13, 4.15, 4.18, 5.1 - 5.19, 5.23 a,b, 5.25a

- Board-Work Problems: Use truth tables to prove tautologies p and q on page 23; (3.7 f, h), 4.6, (4.13 c, 4.14c), (4.17, 4.19), (4.23, 4.24), 5.20, (5.21, 5.22), (5.25 b,c,d),  NOTE:  Problems in parentheses count as one board-work problem

- Hand-In Homework 1:   3.8, 4.8, 4.16, 4.25, 5.23 c, 5.26 b and d, NOTE:  I may be adding more problems to this homework assignment as we cover more material. 

Week 0

(i.e. before class starts)

Read Sections 1 - 5 before class starts.  This material is a review of most of what you learned in MATH 300.  When reading the sections, be sure to work the "practice" problems in the text (answers are provided at the end of the section)

   


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