Home page for Math 251:22-24, fall 2008

Links to other webpages for Math 251:22-24

The course syllabus |
|		 General information
for these sections		 |
|		 Students in the course |
|		 Course diary, part 1
Course diary, part 2
Course diary, part 3

Things to do and information
The final exam and a discussion of the exam grading are available, as well as a brief outline of how course grades were determined.
Course grades were submitted to the Registrar's computer system on Thursday, 12/18/2008.

I hope you have a nice winter break.

The lecturer will hold a homework review time on Tuesdays from 7 PM to 9 PM in Hill 525 on the Busch Campus. This is in addition to usual office hours.

Links to other class material

Title
(with PDF links)		 What is it?Handed out
or posted
The final exam Here's the final exam, in a somewhat more compact form. Here is a discussion of the grades and grading. There are details of partial credit assignment.

There's also a brief discussion of how course grades were assigned.

12/18/2008
A page from the final exam This formula sheet will be the last physical page on your final exam. Take a look now, please. 12/10/2008
Preparation for the final exam
The final exam will be cumulative and cover the whole course, however some additional emphasis will be given to the theorems of vector calculus, as discussed in the final weeks of the course. Students should be familiar with the suggested problems of the syllabus.
I hope that the exam will cover the most important points of the course. Students may want to look at a final exam I gave in a previous instantiation of this course. There are no answers available, but if students wish to send me solutions to problems, I will proofread them and post correct answers here. Please take a look and contribute!
There are review problems about vector calculus with answers available.
Generally I would suggest that students review also how they answered problems given on earlier exams in the course. If I thought the material was important then, I likely will continue to think that it is important.
The fourth Maple lab is due 12/10/2008 and information about it can be gotten from the links below.
The assignment
Background for the assignment
Individual student data
Answers to the second exam Here are answers to one version of the second exam. Please let me know if you have comments or corrections.
Here is a discussion of the grades and grading. There are details of partial credit assignment. 		11/21/2008
The second exam Here is one version of the second exam, in a somewhat more compact format. 11/19/2008
Preparation for the second exam
The second exam will concentrate on material from lecture 11 (section 14.8, Lagrange multipliers) to lecture 20 (section 16.2, Line integrals). Students should be familiar with the suggested problems of the syllabus.
Students may want to look at an exam I gave at about the same point in a previous instantiation of this course. Answers are available. (Again I gladly thank, in this case, Ms. Ng for finding two errors in the answer sheet. These have been corrected -- did no one in 2006 (including the author) read this?) Problem 3 on that exam would not be suitable for our exam. Also, problem 8b is difficult without a technique which will not be tested (that technique will be covered in lecture 21). However, students should be able to find a scalar function f so that ∇f=V in 8b (that is eligible for our test!). Again, a rather lengthy set of review problems also exists, along with answers to almost all of the review problems. That exam was given at a slightly different time in the course. Of the problems in the review sheet, questions B and E about local optimization would not be suitable for our exam now. Also, I would only ask the first part of L ("Find a function f(x,y) such that ∇f=F") and not what follows (again, to be covered in lecture 21).
A few of the review problems do not have answers posted. I would be very happy to receive solutions for these problems from any interested students via e-mail. I'll check the answers, and post correct responses.
The third Maple lab is due 11/10/2008 and information about it can be gotten from the links below.
The assignment
Background for the assignment
Individual student data

Students who believe this is a basically silly assignment will find that the lecturer (who has written all of the software and information pages which back up these labs) totally agrees. He will try to write a neat lab which will have max/min/saddle problems in R2 and Lagrange multiplier problems in R4 (Maple doesn't care that much about dimension!) for students in later semesters. My apologies for what is available now!

Answers to the first exam Here are answers to one version of the first exam. Please let me know if you have comments or corrections.
Here is a discussion of the grades and grading. There are details of partial credit assignment. 		10/20/2008
The first exam Here is one version of the first exam, in a somewhat more compact format. 10/20/2008
The second Maple lab is due 10/20/2008 and information about it can be gotten from the links below.
The assignment
Background for the assignment
Individual student data
Preparation for the first exam
The first exam will cover material up to and including section 14.7 of the text. Students should be familiar with the suggested problems of the syllabus.
Students may want to look at an exam I gave at about the same point in a previous instantiation of this course. Answers are available. (I thank Mr. Olubanjo for finding an error in these answers and Mr. Qua for finding, indeed, another error. These errors have been corrected -- almost 180 students in the earlier semester had not found then!). A rather lengthy set of review problems also exists, along with answers to almost all of the review problems. That exam was given slightly earlier in the course, so neither the exam nor the review problems have questions about optimization. Please see problem 3 of the second exam given in that semester (answer here but I will also discuss this in class on Wednesday, October 8) and also problems B and E of the second set of review problems (answers here).
A few of the review problems do not have answers posted. I would be very happy to receive solutions for these problems from any interested students via e-mail. I'll check the answers, and post correct responses.
Data about some functions Some data about several functions and their first derivatives was handed out in class on October 6 and discussed so that the class could learn about versions of the chain rule. More information is available in the course diary. 10/6/2008
The first Maple lab is due 10/1/2008 and information about it can be gotten from the links below.
The assignment
Background for the assignment
Individual student data
Students who want to see the quizzes given in course recitations should look at Mr. Dibble's web page.
Here's a link to a page explaining why learning Maple may be useful to you, both in this course and in other courses and your career. Further links found there are to material which will be handed out in recitation om Monday, September 8.
If you missed the meeting on Monday, September 8, in the computer lab, I strongly suggest that you go to this link and work through the sheets you can print out there.
Information sheet A form to be passed out on the first day of class. 9/3/2008
Old Math 251 material
I last taught this course in Spring 2006 with a different textbook but the order of the topics and the difficulty of the examples are much the same in both textbooks (the one used then and the one used in this course). So what's in this link is quite relevant. You can find old exams, review problems, solutions to most of the exam and review problems, a detailed diary, and other material.

Less relevant but slightly more recently I taught an honors version of Math 251. Here is a link to that material.



Maintained by greenfie@math.rutgers.edu and last modified 9/2/2008.