Vector Calculus: AMAT 3202, FALL 2008

Dr. Alam, J.
Office: HH-3035
Phone: 737 8071
eMail: alamj_AT_mun.ca
Office hours: Mon, Wed 11:00-12:00
Lectures: M W F 12:00-12:50 in SN3042
Course web site: http://www.math.mun.ca/~alamj/courses/amath3202/amath3202.htm

Announcements

As discussed in the class, I have altered the marking scheme such that all students are benefited.

There was a bonus question in the final exam, which helped most students to improve final marks.

Bonus marks was used to top up final exam. Unused bonus marks - of a candidate who got 100% in the final, but less than 80% total because of low marks in term work - was credited towards term work.

I used the best of
20% Assignment + 30% test + 50% final or 20% Assignment + 20% test + 60% final

Final marks are already submitted into the database.

Marking scheme: home work 20%, test 30%, final exam 50%.
As discussed in the class, the scheme may be altered depending on the final exam marks. However, this will not decrease final grade of any student, but will benefit every one in the class. Any change will be posted here.

A formula sheet is available here. However, this sheet may be updated later.

Marked Assignments (#6) are available from HH-3035.

I have the following special office hours for AMAT 3202.
Dec 2, 4, 5, 8: 1500-1630 in HH-3035 in addition to regular office hours: M,W 1100-1150
You may drop by if you have any questions or if you want to pick up marked assignments.

There will no class on Dec 3rd and the office hour (1100-1150) is cancelled (only for Dec 3rd).

The duration of final exam is 2.5 hours, and the date is Dec 9th, 1100-1130 in SN-4078.

Assignment 7 is also available to download, but you DO NOT need to hand in back to me. This assignment should give you an idea of final exam questions. However, all sub-topics are not covered in this assignment, which means that some problems in the final exam may be from outside the scope of Assignment 7.

Assignment 6 is available to download.

Please correct home work 5 (1) Q2(a) 3x^2+3y^2=z.
(2) Q3(d) z >= 0.
(3) Q4(a) x=sqrt(2)u-sqrt(2/3)v, y=sqrt(2)u+sqrt(2/3)v.
(4) Q4(c) Using the Jacobian of transformation, show that .....

Please pickup your test from HH-3035 during office hours and/or Oct 27, 28, 29 between 15:00 to 16:00.

Marked assignments are available to pickup from the box in HH-3035.

Please scroll down to download Assignments. No late assignments will be marked

Click for a pdf copy of the first day handout.

First lecture: Friday Sep 5, 2008.

Mid term test: Monday Oct 20, 2008.

Last lecture: Wednesday Dec 3, 2008.

Final exam: Dec 8 - Dec 17.

Calendar description

Functions of several variables, Lagrange multipliers, vector valued functions, directional derivatives, gradient, divergence, curl, transformations, Jacobians, inverse and implicit function theorems, multiple integration including change of variables using polar, cylindrical and spherical co-ordinates, Green's theorem, Stoke's theorem, divergence theorem, line integrals, arc length.

Prerequisite:

Mathematics 2000 and 2050

Course objectives

Students are expected to be able to learn various tools of vector calculus.

How do you get additional help?

Please drop by my office (HH-3035) during the office hours ( Mon and Wed 11:00-12:00).

If you need to speak to me outside of those times, I am mostly available in my office (HH-3035) on Mondays, Wednesdays, and Fridays between 09:00 and 16:00. You may simply drop by my office on these days. However, it is not guaranteed that I will be in the office outside office hours, unless you make an appointment.

Please feel free to email me any time (any day) for quick questions, but I may reply your email(s) only on working days.

Outline of the course

Vector functions	Section(s)
Curves defined by parametric equations Vector functions and space curves Derivatives and integrals of vector functions Arc length and curvature Motion in space: velocity and acceleration	10.1 13.1 13.2 13.3 13.4
Partial derivatives
Functions of several variables Partial derivatives Linear approximations Directional derivatives and the gradient vector Lagrange Multipliers	12.6,14.1 14.3 14.4 14.6 14.8
Multiple integrals
Double integral over general region Double integral in polar coordinates Applications of double integrals Triple integrals Change of variables in multiple integrals	15.3 15.4 15.5 15.6-15.8 15.9
Vector calculus
Vector fields Line integrals The fundamental theorem of line integrals Green's Theorem Curl and divergence Parametric surfaces and their areas Surface integrals Stoke's theorem Divergence theorem	16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9

Marking scheme

Text book

Calculus: Early Transcendentals (6E) by Stewart, J., Thomson Brooks/Coles

This is the standard text book for this course. The following books are also useful:

Multivariable calculus: Early transcendentals (6E) by Stewart, J

Vector Calculus by Marsden, J

Vector Calculus by Lovric, M

Home work assignments [top]

Please report any typo if you notince in the solution

Assignment 1	Due Sep 19	Solution 1
Assignment 2	Due Oct 3	Solution 2
Assignment 3	Due Oct 15	Solution 3 There was a typo in Q3(a) of home work 3
Midterm test	Oct 20	Solution
Assignment 4	Due Oct 29	Solution 4
Assignment 5	Due Nov 17	Solution 5
Assignment 6	Due Dec 1	Solution 6
Assignment 7	DO NOT HAND IN	No solutions will be posted.

Remarks:

Homework assignments must be handed in at the start of class on the due date. No late assignments will be marked.

If you miss the mid term test for acceptable reasons, the corresponding weighting may be shifted to the final exam. You need to send me an email explaining the circumstances. Make sure to write "Your full name -- missed work" in the subject line. A doctor's note is required if you were sick. The missed work has to be settled no later than one week of the event.