syllabusS04.html

Math 2374 Spring Semester 2004

IT Multivariable Calculus and Vector Analysis

This syllabus may be revised from time to time during the semester. Make sure you are using the latest version! We will always announce in lecture when this page has been revised; you are responsible for any such changes. Last updated on: 04/27/04.

Text: Barr, Vector Calculus, Second Edition. We will cover the entire book, with these exceptions:

We assume you are familiar with the content of sections 1.1, 1.5, and 1.6. (There will be review sessions available.)
Sections 2.4, 3.2, 3.3, 4.5 and all of Chapter 7 are not part of the course.

Prerequisite: You must have received a grade of at least C- in Math 1372 (or equivalent) to be in this course. If you did not receive at least a C- in Math 1372, see your lecturer or advisor immediately.

Exams: The dates of the midterms are Wednesdays February 25, March 31, and April 28. You will have the option of taking the midterm from 5:00 to 6:00 PM or from 6:10 to 7:10 PM.

Grading Policy: Homework: best 10 homeworks worth 10 pts each, for a total of 100 points; Quizzes: 25 online quizzes worth 2 pts each, for a total of 50 pts; Labs: best 5 labs worth 15 points each, for a total of 75 pts; Midterms: each midterm worth 150 pts, for a total of 450 pts; Class participation: 25 pts; Final Exam 300 pts. Total Points = 1000.

Make-ups: Students must make arrangements in advance if they will not be handing in homework on time or will miss an exam. Exam absences due to recognized University related activities, religious holidays, verifiable illness, and family/medical emergencies will be dealt with on an individual basis. See official University Policy on Makeup Examinations for Legitimate Absences.

Attendance: We will conduct the class under the presumption that you have attended all lectures, labs, and recitation sections. In particular, you are responsible for any announcements made in class.

Homework: Unless otherwise indicated, the assigned problems for each week are due the following Friday at the beginning of lecture. For example, on Friday, January 30, you will turn in the problems assigned in Week 1.

Lab Assignments: Labs will be due at the beginning of your lab section one week after you have finished working on the lab in class.

We encourage you to discuss homework problems and lab assignments with your classmates, including strategies for solving different kinds of problems. Indeed, this is one of the best ways to improve your understanding of the course. However, when you actually write up your solutions, you must do this on your own. Collaboration during the write-up stage or handing in homework or labs that are almost identical to a classmate's is a form of cheating and may result in a score of zero for all your homework or lab assignments. Your homework should be:

neatly and clearly written, using complete sentences and correct grammar. You must show your method of solution as well as your answer. Neat crossing out is acceptable, but homework which looks like scrap paper, which contains only answers and no method of solution, or which appears to have been written at the last minute or without reasonable care, will not receive full credit and may not be graded.
handed in on time, at the beginning of class. Late homework will be graded only under unusual circumstances and only if arrangements have been made in advance.
stapled, in order to form a more perfect union and promote the general welfare.

In particular, if the staple is missing, or you have "notebook frizzies" on the left side of the paper, or if your homework is illegible, then your TA has the right to deduct a point from your homework or (in extreme cases) to hand it back ungraded.

SCHOLASTIC CONDUCT: We expect the highest standards of conduct from members of this class. Cases of academic dishonesty will be treated with utmost seriousness. See Student Conduct Code. More generally, we expect students to be actively involved with the issues presented in class. In particular, you should be prepared each week to ask and answer questions.

INCOMPLETES: We will consider giving you an incomplete if you have successfully completed all but a small portion of the work of the course and some severe, unexpected event prevents you from completing the course. This means that you must have taken at least 2 midterms and must be doing at least C- work. We cannot give you an incomplete simply because you are behind in your work. In that case, you should try to drop the course.

S/N GRADE: If you are registered S/N, we will submit a grade of S if your letter grade is C- or above; we will submit a grade of N if your letter grade is D+ or below. IT students should not be taking this class S/N.

HOMEWORK ASSIGNMENTS: You should work out all of the problems listed here (and even more if you have time). However, you should write up and turn in only the starred problems. Your lecturer and TA will NOT discuss the solutions to starred problems until they have been handed in.

THIS SCHEDULE MAY BE REVISED DURING THE TERM
You are responsible for all of the problems, but only hand in those with a *. S = Sample Final
Week		Date	Section		Date Due
1	Wed	1/21	1.2	1,3,7,16,17a,20,21,23 In 17a, assume that the dome has a height of 300 feet and a diameter at the base of 100 feet. Put the origin at the center of the base, not at the top of the dome.	1/30
			1.3	1,10,13,16 You will study quadric surfaces in Lab 1B, so we will spend only a few minutes on this in lecture. You can wait until you have done Lab 1B to work on these suggested problems.
			1.4	6abe,8ab,9,10	1/30
	Fri	1/23	1.7	17,18,23,24ac,34,35	1/30
			1.8	1,4,8,9,10,26,27,28,29,S3b (recall S3b means problem 3b on Sample Final)	1/30
2	Wed	1/28	1.9	4,5,7,12*,13,15	2/6
			1.10	4,11,12*,33,36	2/6
	Fri	1/30	2.1	2ab,15,17,23b* HINT for 23b: Find 3 independent vectors parallel to the hyperplane and then use the dot product to find a vector normal to the plane.	2/6
			2.2	3,4,14* Do 14 AFTER you study section 2.3. Don't use Theorem 2.2.2; just use common sense and Theorem 2.3.2.	2/6
3	Wed	2/4	2.3	1-6,8,10,11,14,15bd,16bd,17bd,21,22	2/13
	Fri	2/6	3.1	10*,11,14,18	2/13
4	Wed	2/11	3.4	5,17,19,24,25 (Look at page 197 to see another example of calculating a partial derivative from the definition.)	2/20
	Fri	2/13	3.5	3,4,10,15,18,19,28	2/20
5	Wed	2/18	3.6	3,8,13,14,18,25,29,30,37,38,S7	2/27
	Fri	2/20	4.1	4,9,11,12,13,18,24,34,38,42,44*,46,47,56, S2,S9a	2/27
6	Wed	2/25	5.1	2,3,6,8,10*,18	3/5
	Wednesday	February 25	First Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
	Fri	2/27	5.2	1,3,7,8,13,14,17,21,22,23,24,27	3/5
7	Wed	3/3	6.1	1,2,6,15,18,20,22,S9b*	3/12
	Fri	3/5	5.3	2,6,13,14,18*,19	3/12
8	Wed	3/10	5.3	26,28,32,33,37,40. Look at 43-52. Each can be answered in a sentence or two.	3/26
	Fri	3/12	6.2	1,2,3,4,5,6,7,8,9	3/26
Spring Break March 15 - 19
9	Wed	3/24	5.4	4,7,8,12,14(full credit even if you don’t evaluate the final integral),16,20,26,27,30	4/2
	Fri	3/26	5.5	1,3,6,10,14,19,20,26,28,30,S3ab (yes, do 3b again)	4/2
10	Wed	3/31	5.6	1,2,7,10*	4/9
	Wednesday	March 31	Second exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
	Fri	4/2	5.6	12,13,14,15,16,17	4/9
11	Wed	4/7	5.7	2,6,10,14,20,22,S8*	4/16
	Fri	4/9	4.2, 6.4	4.2: 4,13,14*,28 6.4: 1,9	4/16
12	Wed	4/14	6.4	4,5,6,7,8,S5	4/23
	Fri	4/16	5.8	2,3,6,8,12,13,14,17,S4a*	4/23
13	Wed	4/21	6.3	1,2,4,5,6,16,S4b	4/30
	Fri	4/23	Vector Analysis WrapUp	Handout. Hand in problems 1,2,3,4,5*.	4/30
14	Wed	4/28	2.5	2,4,8,10,12*,15,23	5/7
	Wednesday	April 28	Third Exam -- 5:00 to 6:00 PM or 6:10 to 7:10 PM.
	Fri	4/30	4.3	2,4,7,10,16,18,24*	5/7
15	Wed	5/5	4.4	15,16,17,18,19,21,24,29,32, S1
	Fri	5/7	REVIEW
	MONDAY	MAY 10	FINAL EXAM -- 1:30 PM to 4:30 PM

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