Calculus with Analytic Geometry, Sixth Edition, by Edwards and Penney and published by Prentice-Hall
William K. Allard, Professor of Mathematics
Office: 029A Physics Building Phone: (919) 660-2861 Fax: (919) 660-2821 E-mail: wka@math.duke.edu Office Hours: Tuesday and Thursday, 1-3 PM and by appointment.
Tuesday and Thursday, 8:30-9:45 AM, Physics 047
Click here to see the "Official" Web page; it included the syllabus and the list of homework problems.Most students succeed in this course only if they do the homework on time. I encourage you to work on the homework in groups; of course you cannot submit work you copied from someone else; also, make sure you really understand any problem you do with someone else. You may want to use Maple or Mathematica or some other computer program to assist you in doing the homework and I encourage you to do so.
There will be two in class tests each of which will count 25% of your grade. The first test will be Thursday, October 5 and the second test will be Thursday November 16. There will be a quiz on Thursday of each week; the quizzes will count 15% of your grade. There will be a "block" final exam which is to say that all sections will take the same exam at the same time; this will count 35% of your grade. The homework will be used to decide borderline cases although I won't use it to raise a "B" to an "A".
I encourage you to look at web sites other instructors may post to see tests and other materials. We will attempt to ensure that grading is consistent across the sections; this means, say, that work worth a B in one section will be worth a B in any other section.
Help Room and Tutoring
Click here for information about help for students taking courses like Mathematics 103.
Comments
In previous calculus courses you learned to differentiate and integrate functions of one real variable and to apply these techniques to solve problems of various sorts. There are many interesting and important problems whose solution requires the differentiation and integration of functions of more than one variable, and that is what we intend to teach you how to do in this course. As should not be surprising, one encounters new difficulties in dealing with functions of more than one variable. The best way to overcome these difficulties, at least in the opinion of the Supervisor of this course, is to make sure that you can draw a good picture, at least in your head if not on paper, of every new concept and situation you will encounter. You can get into trouble if you rely solely on your ability to manipulate symbols according to formal rules.
Many intructors prefer to teach several variable calculus than one variable calculus because of the its geometrical emphasis. It's more fun for them. We hope you will feel the same way.
Tests Already Given This Semester
Answer key to Test One. PDF Version
Answer key to Test Two. PDF Version
Click here to see tests already given this semester in any of the sections. Looking at these tests is a very good way to study for the final exam!Final Exam Schedule
The final exam will take place Thursday, December 14 from 7 to 10pm. It will take place in Physics 047 which is the room in which are already meeting.
Supplementary Material
Return to: Duke University * Mathematics DepartmentVectors PDF Version
Functions and relations PDF Version
Differentiation with respect to a coordinate PDF Version
Curves PDF Version
The differential PDF Version
n-coordinates PDF Version
Equality of mixed partial derivatives PDF Version
Green's Theorem PDF Version
The flow of a vector field PDF Version
A summary of the basic integral theorems of vector calculus PDF Version
wka@math.duke.edu Last modified: August 29, 2006