Syllabus and important information

Date: 1/4/2008 8:49:00 PM

Category: General, Syllabus

Math V1202: Calculus IV
Columbia University
G. Michael Guy
Spring 2008
Mondays and Wednesdays 2:40-3:55
Room 203 Mathematics



The syllabus for the class can be found by going here.

Before you email me, read this!

Courseworks:Grades will be posted on Courseworks.

The two tests are tentatively scheduled for February 20 and April 7.

The final exam date is tentatively scheduled for Wednesday, May 14; 1:10-4:00pm.

The last day to drop the class is Tuesday, February 26.

Spring break is March 17--21.

You may wish to consult the Academic Calendar for other important dates and holidays.

Office Hours:

These will be announced here later

The Help Room in 406 Mathematics is open during the day, Monday through Friday, to students seeking individual help from the instructors and teaching assistants.

You may post anonymous feedback using the form at http://feedback.gmichaelguy.com

Iwill post important announcements, homework and test dates here on thisblog. You may subscribe to this blog and receive emails whenever I postannouncements by following the link at the bottom left of this page.There is also an RSS feature (Use the address http://classblog.gmichaelguy.com/rss2.aspx) if you are familiar with this. By clicking the previous link in Firefox or Safari,you will have the option to make a bookmark directly to the entries inthe blog. You will need to unsubscribe to the blog at the end of theterm as I will likely recycle this blog for use in future classes.


Homework 1--1/23. Due: 1/28

Date: 1/23/2008 4:49:00 PM

Category: Homework

Prepare the following problems to hand in on Monday, 1/28.

15.1:
1, 2
15.2: 4, 10, 12, 20, 22, 26

You may download the problems here.

Homework is due at the beginning of class, and no late assignments will be accepted. You are encouraged to collaborate with other classmates, but the submitted work must be 100% yours and not copied. Refer to the Academic Honesty statement on the course syllabus for more information.



Study Guide, in progress. 15.1,15.2

Date: 1/23/2008 4:53:00 PM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not be collected and graded but serve as a source for additional practice. Consider these problems to be part of a Study Guide for the exams.

15.1: 3,5
15.2:
3,7,15,17,21,25, 27



Policy on grading and "curving"

Date: 1/23/2008 11:09:00 PM

Category: General

It is my normal procedure to start the semester by stating that I will use the standard 10 point grading scale for grading this class. It has been my experience, however, that I have rarely assigned final grades without altering the scale to some degree. I certainly am a fair grader, as all of my previous students would attest. You don't have to take my word for it--you can read their evaluations on my website. So I definitely do end up "curving" the grades and am always happy to discuss your progress in the class and any concerns you may have at any time. It is hard, in advance, to state the precise scale that I will use as it is impossible to predict students' performance from the outset.

Be assured, my goal is not to wreck your college transcript and derail your life plans. I am here to help, and will always be open to hearing ways to help you succeed. I'm rarely more than a quick email away.


Quiz 1: Monday, February 4

Date: 1/23/2008 11:25:00 PM

Category: Quizzes

Quiz 1 is scheduled for Monday, February 4. It will consist of 1-2 problems at the end of class. It will include material covered through January 30. You may review the grading of quizzes on the the class syllabus.


Hmwk 1 Problems (In case you have old edition)

Date: 1/24/2008 7:39:00 PM

Category: Homework

It was requested that I provide a copy of the problems for the problem set for those who may have the old edition of the book. Seeing as how so many of you have the old edition, I thought it reasonable to do so. However, I am not certain that posting this file here follows the copyright protection of the book. I am posting the first one for now until we can sort out some way of doing this legally. This post may disappear at anytime, however.

Here is the file.



Homework 2--1/28. Due: 2/4

Date: 1/28/2008 11:45:00 AM

Category: Homework

Prepare the following problems to hand in on Monday, 2/4.

15.3: 2, 6, 12, 18, 20, 28, 48
15.4: 6, 8, 16, 28, 36

You may download the problems here.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Study Guide, in progress. 15.3,15.4

Date: 1/28/2008 11:56:00 AM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.
 
15.3: 1, 5, 11, 15, 19, 27
15.4: 1-4,5, 7, 17


Homework Academic Honesty Requirement

Date: 1/28/2008 5:56:00 PM

Category: General, Homework

You are encouraged to work with others in the completion of homework. However, in the spirit of Academic Honesty, which includes crediting others for their contribution to you work, please put one of the following statements at the top of every submitted homework:

1) I worked alone on this assignment.
2) I worked with the following: List their full names.

If you feel a more detailed description should be given, please do so. For example, in the event that you worked alone on everything except for one problem, you may simply make a note on the problem on which you collaborated. You must include the full name of everyone with whom you worked except me. This includes anyone in the Math Help room, other instructors as well as private tutors.

If you referenced any other source (including websites) than the class text book, your class notes and my website during the completion of your assignment, you must disclose it fully.



Office Hours

Date: 1/28/2008 7:05:00 PM

Category: General

My office hours for this term will be:
Wednesdays, 1:30-2:30
Fridays, 1:00-2:00

My office is Mathematics 626.

Any change to these office hours will be announced here. Additionally, I am available to meet outside of these times by appointment. Please send an email to schedule this. Please read this before emailing me.



Homework 1 Answer Key

Date: 1/28/2008 7:50:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

**Update** I have now added the answers provided by the publisher for the Homework. In the future, this will be the only key provided. At the request of the publisher, this answer key will only be available for a short time online so that they are not easily accessed by students not in our class.

Please advise me of any mistakes via email.



Hint Added to Homework 2

Date: 2/2/2008 6:03:00 PM

Category: Homework

A hint was added to the last problem of Homework 2. It clears up a slight imprecision in the directions. If you were successful without it, then you may disregard the hint.

You may download the problems here.



Homework 3--2/4. Due: 2/11

Date: 2/4/2008 9:57:00 AM

Category: Homework

Prepare the following problems to hand in on Monday, 2/11.

15.5: 6, 12, 16, 24
15.6:
2, 4, 12, 16, 22, 36

You may download the problems here.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Study Guide, in progress. 15.5,15.6

Date: 2/4/2008 10:00:00 AM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.
 
15.5: 1, 5, 7, 15, 17
15.6: 5, 9, 11, 19, 23, 27, 35


Quiz 2: Monday, February 11

Date: 2/4/2008 11:15:00 AM

Category: Quizzes

Quiz 2 is scheduled for Monday, February 11. It will consist of 1-2problems at the end of class. It will include material covered through Homework 3. You may review the grading of quizzes on the the class syllabus.


How to question grading of an assignment?

Date: 2/4/2008 6:27:00 PM

Category: Quizzes, General, Tests, Homework

If you wish to dispute the grading of an assignment, I am happy to hear your concerns. Please follow this procedure:

Staple to the front of the entire assignment a cover sheet with your name, email address and indicate the problem you are disputing. Write a short and precise description of your concern on the cover sheet. If you make additional notes on the problem you are disputing, please do so in a manner which makes it clear which work is the original submission and which part is the notation. It may be best to make additional notes in a different color ink, for example.

Give this to me within 1 week from when the assignment was returned to the class. There is no need to discuss this with me in person. I will ask you more questions should I not understand your dispute. I will read your dispute, make a decision and return it to you as soon as possible (usually by the next class period).

There is no penalty or worry of retribution for asking for a review. I do, however, request you to double check your dispute before submitting it. Sometimes mistakes do happen, and I'm happy to correct them when they do.



Homework 2 Answer Key

Date: 2/4/2008 7:00:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems 15.3.2, 15.3.18, 15.4.28, 15.4.36 were graded for accuracy.

***NOTE: If your Homework had HAHR written at the top, this means you were NOT in compliance with the Homework Academic Honesty Requirement to disclose collaboration. In the future, your assignments will not be graded if you do not comply.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Quiz 1 Answer Key

Date: 2/4/2008 8:00:00 PM

Category: Quizzes

The answer key to Quiz 1 may be found here.

Please advise of any mistakes via email.



Triple Integral from the end of class

Date: 2/6/2008 9:18:00 PM

Category: General

Sorry that we didn't have a chance to complete the last problem in class today. The problem we were working is from the Review Section at the end of Chapter 15. It was problem 46. I am posting a solution to this problem here (along with a much better picture!) for you to review. We can complete talking about Triple Integrals next time. The main point is that we simply view things in order, by first fixing all the outer variables as we integrate from the inside out. Practice will make all of this clearer.

Here is the file.



Homework 4--2/11. Due: 2/18

Date: 2/11/2008 1:28:00 PM

Category: Homework

Prepare the following problems to hand in on Monday, 2/18.

15.7: 16, 18, 22
15.8:
8, 10, 12, 18, 26, 44

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirement for disclosing collaboration. No more warnings will be issued. A grade of zero will result on any assignment which does not make the proper declarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Study Guide, in progress. 15.7,15.8

Date: 2/11/2008 3:21:00 PM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.

15.7: 5, 11, 17, 21, 27
15.8: 7, 11, 13, 17, 21, 27


Test 1: Wednesday, February 20

Date: 2/11/2008 3:25:00 PM

Category: Tests

Test 1 will be Wednesday, February 20. The test will cover Homeworks 1-4. For additional practice problems, you may wish to consult the Study Guide which has been posted over the course of the term.


Homework 3 Answer Key

Date: 2/11/2008 6:26:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness (Problems 1,2,5,9) are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Quiz 2 Answer Key

Date: 2/11/2008 7:27:00 PM

Category: Quizzes

The answer key to the Quiz may be found here.

Please advise of any mistakes via email.


What types of integrals should I know for the test?

Date: 2/13/2008 4:02:00 PM

Category: Tests, General

For the test, it would not be unreasonable for me to expect you to be able to evaluate the following types of integrals:
  • Any integrals found under the "Basic Forms" section in the Table of Integrals in the back of your textbook. This includes item numbers 1-20.
  • All u-substitutions.
  • Basic integration by parts. (That is, not ones which require you to perform integration by parts 3x or something.)
  • Integration of trig functions. You should be familiar with how to integrate powers of trig functions as found in Sections 7.2. The most important ones for us will likely be squares and cubes of trig functions, but the procedure for "higher" powers is the same.
  • Integration of rational functions such as those found in Section 7.4
  • Any type of integral which is "not obvious" would be reasonable, if I provide you with a "hint" of how to approach it.

Please note that for homework, any and all types of integrals are reasonable since you have at your disposal a variety of resources for completing them. I am happy to help you review any of the above types of integrals and anything else during office hours and via email.



Homework 4 Change

Date: 2/13/2008 6:25:00 PM

Category: Homework

I have decided to postpone the last section of Homework 4 until Homework 5. This material will also not be on Test 1.

You may download the updated problems here.



Change to Office Hours--Next week only!

Date: 2/14/2008 4:42:00 AM

Category: General

I will not be able to make my regularly scheduled office hours next Friday (2/22). Instead, I will host office hours on Monday (2/18), 1:30-2:30pm. This will be before the test on Wednesday. I will still have my regularly scheduled office hours on Wednesday (2/20), 1:30-2:30pm (also before the test!).

As always, I hope you'll stop by and take advantage of the opportunity to talk with me personally. If you are not available either of those times, I am also willing to consider other times. Just email me (read here for some advice on that!)

I will resume my regularly scheduled office hours after next week.



Homework 5--2/18. Due: 2/25

Date: 2/18/2008 6:21:00 PM

Category: Homework

Prepare the following problems to hand in on Monday, 2/25.

15.9: 2, 6, 12, 20

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Homework 4 Answer Key

Date: 2/18/2008 6:24:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Study Guide, in progress. 15.9

Date: 2/18/2008 6:37:00 PM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.

15.9: 1, 3, 13, 23


Last day to drop: Tuesday, 2/26

Date: 2/24/2008 5:24:00 AM

Category: General

As a reminder, the last day to drop from the course and receive a W is this Tuesday, 2/26!

More information can be found here.



Homework 6--2/25. Due: 3/5

Date: 2/25/2008 2:21:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 3/5.

16.1: 2, 6, 10, 11-14, 15-18, 24, 26
16.2: 2, 6, 8, 12, 20, 28, 40

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Test 1 Answer Key

Date: 2/25/2008 5:19:00 PM

Category: Tests

The answer key to the Test may be found here.

Please advise of any mistakes via email.


Homework 5 Answer Key

Date: 2/25/2008 7:43:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Study Guide, in progress. 16.1, 16.2

Date: 2/25/2008 9:54:00 PM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.

16.1: 1-25, odd
16.2: 3,5,11,15,17,21,33,39


Correction to Homework 6 Handout

Date: 2/29/2008 8:23:00 PM

Category: Homework

The handout for Homework 6 incorrectly quoted Problem 16.1.24 (Problem 6). This has been corrected. In the event such an error occurs, the textbook should be considered to be "correct." Please let me know of any such errors so that I can make corrections and alert the other students.

The corrected file can be downloaded from the original post or from right here!



Quiz 3: Wednesday, March 12

Date: 3/1/2008 6:19:00 PM

Category: Quizzes

Quiz 3 is scheduled for Wednesday, March 12. It will consist of 1-2problems at the end of class. It will include material covered throughHomework 7. You may review the grading of quizzes on the the class syllabus.


Homework 7--3/5. Due: 3/12

Date: 3/3/2008 4:20:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 3/12.

16.3: 4, 6, 8, 12, 16, 18
16.4: 2, 4, 6, 14, 18

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Study Guide, in progress. 16.3, 16.4

Date: 3/3/2008 4:23:00 PM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.

16.3: 3,9,15,21,31,33
16.4: 3,7,13,21


Permanent Change in Office Hours

Date: 3/4/2008 3:34:00 AM

Category: General

As mentioned in class today, I will permanently change my office hours to the following:
Mondays and Wednesdays 1:30-2:30 and by appointment.

Unfortunately, I have a large number of Friday commitments coming up so the current office hours are not going to work. I encourage you to continue to email me or make use of the feedback form to keep in touch!



Another small correction to Homework 6

Date: 3/4/2008 12:13:00 PM

Category: Homework

The integral in Problem 9 (16.2, Exercise 6) is with respect to dx and not ds as in the original handout.

Thanks for alerting me to this!

The corrected file can be downloaded from the original post or from right here!


Homework 6 Answer Key

Date: 3/5/2008 7:26:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Homework 8--3/12. Due: 3/26

Date: 3/12/2008 3:32:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 3/26.

16.5:
2, 4, 14, 16, 26, 32
16.6: 4, 6, 22, 24, 40, 44, 46

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Quiz 3 Answer Key

Date: 3/12/2008 6:31:00 PM

Category: Quizzes

The answer key to the Quiz may be found here.

Please advise of any mistakes via email.


Homework 7 Answer Key

Date: 3/12/2008 6:36:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Final Exam Scheduled: Wed 5/14

Date: 3/21/2008 9:20:00 PM

Category: Tests, Final Exam

The final exam has been scheduled as seen below. Make sure to note the unusual location of our final. You may click the link to see where Hamilton Hall is located.

CLASS ID NAME INST TIME BLDG RM
MATH V1202 003 CALCULUS IV Guy, G. Michael Wednesday, 05/14/2008
1:10pm - 4:00pm
HAM 702

You may find the final exam schedule for all classes here!


Homework 9--3/26. Due: 4/2

Date: 3/26/2008 4:56:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 4/2.

16.7:
10, 14, 20, 24, 44
16.8:
2, 4, 6, 10, 18

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Test 2: Wednesday, April 9

Date: 3/26/2008 5:00:00 PM

Category: Tests

Test 2 will be Wednesday, April 9. The test will cover Homeworks1-10. For additional practice problems, you may wish to consult the Study Guide which has been posted over the course of the term.


Quiz 4: Wednesday, April 2

Date: 3/26/2008 5:00:00 PM

Category: Quizzes

Quiz 4 is scheduled for Wednesday, April 2. It will consist of 1-2problems at the end of class. It will include material covered throughHomework 9. You may review the grading of quizzes on the the class syllabus.


Homework 8 Answer Key

Date: 3/26/2008 5:13:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Homework 9 Updated

Date: 3/27/2008 2:29:00 AM

Category: Homework

Homework 9 has been changed from its original post. I removed 2 of the problems which seemed a bit less fun than I might like. You can thank me later. Let me know if there are any mistakes in the file as I typed them up quickly and may have made mistakes.


Homework 10--4/2. Due: 4/16

Date: 4/2/2008 3:53:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 4/16.

16.9:
2, 4, 12, 14, 18, 24, 26

Unfortunately, this week I do not have time to type the problems. Please consult a 6th Edition Textbook (available in the Math Library on the 3rd Floor) for the problems. Sorry!


***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Homework 9 Answer Key

Date: 4/2/2008 3:56:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Quiz 4 Answer Key

Date: 4/2/2008 3:57:00 PM

Category: Quizzes

The answer key to the Quiz may be found here.

Please advise of any mistakes via email.


Study Guide, In Progress. 16.5, 16.6,16.7, 16.8

Date: 4/6/2008 3:29:00 PM

Category: Study Guide

The following problems are recommended in addition to the homework. These problems will not becollected and graded but serve as a source for additional practice.Consider these problems to be part of a Study Guide for the exams.

16.5: 3,7,15,19,21
16.6: 1,3,13,19,21,23,35,41
16.7: 4,5,13,19,21,41
16.8: 3,7,13,17


Homework 10 Extension/Mostly excluded from Test

Date: 4/7/2008 3:18:00 PM

Category: Tests, Homework

I have decided to extend Homework 10's due date until the Wednesday following the test. You will note the due date is thus Wednesday, April 16.  This is mainly due to not fully covering the Divergence Theorem in sufficiently. I had rather you make sure you have everything else fully comprehended before the test rather than frantically try to complete the homework and learn something new. Please take advantage of this and show a strong mastery of the remaining material on the test.



Common Question about Test 2 and change of variables

Date: 4/7/2008 3:22:00 PM

Category: Tests

Change of variables and the Laplacian will not be coveredon this test (even though it wasn't on the first test either!) and willonly be tested on the Final Exam.

You may note, however, that most of the 2-dimensional change of variables we covered before can be viewed as giving a parameterization of a surface. Next time you attempt those problems, try to make that connection, and you may find you have an easier time understanding the explanations and techniques of that section.


Test 2 Answer Key

Date: 4/9/2008 7:45:00 PM

Category: Tests

The answer key to the Test may be found here.

Please advise of any mistakes via email.


Test 2 Grades posted

Date: 4/14/2008 1:40:00 AM

Category: Tests

The grades for Test 2 are now posted on Courseworks, and the tests will be returned tomorrow.

Here are the class statistics:

Average: 83.48485
Median: 85
StdDev: 21.30084




Homework 11--4/16. Due: 4/23

Date: 4/15/2008 5:14:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 4/23.

Appendix H:
2, 6, 10, 12, 26, 30, 38, 44, 46, 48

You may download the problems here.

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Homework 10 Answer Key

Date: 4/16/2008 7:21:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Notes on Complex Variables

Date: 4/20/2008 11:49:00 PM

Category: Homework, Notes, General

We will begin using the notes below for our continued study on Complex Variables. It is highly recommended that you print them and take a quick read of them before class. We will use these notes over the next couple weeks, so you needn't read them all now. There are exercises at the end of them which will be assigned for homework.

Complex Variables Notes 1
Complex Variables Notes 2
Complex Variables Notes 3



Homework 11 Answer Key

Date: 4/23/2008 3:57:00 PM

Category: Homework

The answer key to the homework can be found here.

Problems which are graded for correctness are worth 10 points each, and the remaining problems are 3 points each.

At therequest of the publisher, this answer key will only be available for ashort time online so that they are not easily accessed by students notin our class.

Please advise me of any mistakes via email.


Homework 12--4/23. Due: 4/30

Date: 4/23/2008 4:18:00 PM

Category: Homework

Prepare the following problems to hand in on Wednesday, 4/30.

Complex Variables Handout 1:
Problems 6-9
Complex Variables Handout 2: Problems 1, 3-7

***Note: Please ensure you comply with the Homework Academic Honesty Requirementfor disclosing collaboration. No more warnings will be issued. A gradeof zero will result on any assignment which does not make the properdeclarations.

Homework is due at the beginning of class, and nolate assignments will be accepted. You are encouraged to collaboratewith other classmates, but the submitted work must be 100% yours andnot copied. Refer to the Academic Honesty statement on the course syllabus for more information.


Quiz 5: Wednesday 4/30

Date: 4/23/2008 7:44:00 PM

Category: Quizzes

The final quiz will be Wednesday 4/30! It will cover the material on Complex Variables.


Class Evaluations on Courseworks

Date: 4/24/2008 4:48:00 PM

Category: General

Evaluations are now available for you to complete on Courseworks.Please take a few moments to fill them out. I appreciate your takingthe time to leave feedback. I take evaluations very seriously andconsider each of them. I even post all of my old evaluations on my website for all to consider before taking my class.  Student evaluations are also a valuable source ofinformation used by many who may consider giving me a job or apromotion in the years to come. Thanks for saying so many nice andhonest things about me and the class!


Class/Office Hours Canceled Monday, May 5

Date: 4/29/2008 12:44:00 PM

Category: General

I have decided to cancel class and office hours on Monday, May 5. Look for a post soon about details for the Final Exam Review Session, the Final Exam Format, as well as info on how to pick up your graded Quiz 5 and last Homework Assignment.


Final Exam Review Session: 5/11 @ 6:00pm

Date: 4/29/2008 1:44:00 PM

Category: Final Exam

We will have a final exam review session on Sunday, May 11 at 6:00pm. It will be in Mathematics 520.

Please come prepared with questions. If everyone comes with the idea that they will just listen to everyone else's questions, then we may have very little to discuss. I am happy to answer any question you might like.


Quiz 5 Answer Key

Date: 4/30/2008 7:36:00 PM

Category: Quizzes

The answer key to the Quiz may be found here.

Please advise of any mistakes via email.


Final Exam Information

Date: 5/1/2008 3:40:00 PM

Category: Tests, Final Exam

Here are some details about the final exam. You can expect it will be about 1.5 times the length of the other hourly exams. It will not necessarily be harder or trickier than previous exams/quizzes/homework, so these are a good place to begin studying. There may be a problem (or two) which tests some cumulative or deeper understanding of the topics, but they will be presented as fairly and reasonably as possible.

Here is a checklist/outline for use in preparing for the final.
  • Double Integrals
  • Triple Integrals
  • Coordinate Systems
    • Rectangular
    • Polar
    • Cylindrical
    • Spherical
    • General change of coordinates (Jacobian)
  • Applications of integrals
    • Volumes
    • Areas
  • Vector Fields
    • Graphing 2D vector fields
    • Conservative vector fields and potentials
    • Divergence
    • Curl
    • Gradient
  • Line Integrals
    • Parameterizing curves
    • Direct calculation
    • Fundamental Theorem of Line Integrals
    • Green's Theorem
  • Surface Integrals
    • Parameterizing surfaces and orientation vectors
    • Direct calculation
    • Stokes' Theorem
    • Divergence Theorem
  • Complex Variables
    • Working with complex numbers and their conjugates
    • Finding real and imaginary parts of functions
    • Analytic functions and the Cauchy-Riemann Equations
    • Harmonic Functions
    • Cauchy's Integral Theorem
    • Calculating basic line integrals

You will be allowed to bring in a "reference sheet" as long as it meets the following criteria:
  • It must be on 1 standard sized sheet of paper (roughly 8.5 x 11 in).
  • It must be handwritten and neither typed nor a photocopy of someone else's.
  • Your name must be at the top, and it will be submitted with your final exam.

As a reminder:
The final exam has been scheduled as seen below. Make sure to note theunusual location of our final. You may click the link to see whereHamilton Hall is located.

CLASS ID NAME INST TIME BLDG RM
MATH V1202 003 CALCULUS IV Guy, G. Michael Wednesday, 05/14/2008
1:10pm - 4:00pm
HAM 702

You may find the final exam schedule for all classes here!



Good source of practice problems for the Final Exam

Date: 5/7/2008 7:08:00 PM

Category: Tests, Final Exam

There are several places in your book which have excellent practice problems/potential exam problems. It'd be a great idea to consult the Chapter 15/Chapter 16 Review (pg 1021+, 1106+). Additionally section 16.10 in your book has many nice problems. Also, the material which was assigned from the Complex Variables section is all reasonable. You may wish to look at the problems in the 3rd set of notes problems 1,3 and 4.


PreFinal Average on Courseworks

Date: 5/8/2008 1:01:00 AM

Category: General

I have posted your average before the final on Courseworks. This is a grade out of 60. The final exam is worth the remaining 40 points.

The PreFinal Average was calculated as follows:
  • Each homework grade was converted to a percentage.
  • The bottom 2 homework grades were dropped, and the remaining 10 were used to calculate an average homework grade.
  • Homework is worth 10 points.
  • The bottom quiz grade was dropped, and the remaining 4 were used to calculate an average quiz grade.
  • Quizzes are worth 10 points.
  • Each test was worth 20 points each.
  • At each step of rounding and calculating, all decimals were rounded UP (no matter how small the fraction).
To calculate your final grade, I will enter the percent you earned on the final exam. I will give you that percentage of 40 points, and then add it to your prefinal average. Your grade will then be determined based on your total out of 100. The grade scale will almost certainly be "curved" from the usual 10 point scale.

If there are any questions or this is unclear, please email me, and I will try to clarify it.



Evaluations Reminder

Date: 5/9/2008 2:32:00 PM

Category: General

The period to complete your evaluations has been extended. You now have until May 12th to say nice things about me. They are on Courseworks.


Study Session Reminder!

Date: 5/9/2008 2:35:00 PM

Category: Final Exam

Don't forget: This Sunday at 6:00pm in Mathematics 520!! Come with questions prepared. I am also happy to make an appointment to meet with you on Monday anytime or Tuesday before 4 if you are unable to come to the study session or have additional questions.


Final Exam in Hamilton 702. Don't forget!

Date: 5/13/2008 3:39:00 AM

Category: Final Exam

Don't forget the final exam is in Hamilton 702 instead of Mathematics!


Final Exam/Final Grades Posted

Date: 5/15/2008 8:28:00 PM

Category: General, Final Exam

Final exam grades have been posted on Courseworks. I decided to make the last question (which was an application of Cauchy's Integral Theorem) a bonus problem worth 10 points. As a result, the final exam was graded out of 180 instead of 200.

Final Grades will be entered shortly, as well. Your final grade was the maximum of your final exam grade and your final average. As a result of this and the bonus, there were many more A+'s than I previously thought. Sorry about that!

Great work all around! Best of luck in all of your future endeavors.

Note: If you received an email alerting you of this entry, you should click the link at the bottom to "unsubscribe" so as to not receive posts in the future when I recycle this blog!