Instructor: Robert Hanson
Office: TBA
email: bobby@math.utah.edu (this is the best way to contact me)
Office Phone: TBA
Office Hours: By appointment; usually immediately before or after class
Class
TTh 6:00 - 7:30 p.m. in LCB 215
Text
Calculus, 8e; by Varberg, Purcell, and Rigdon.
Prerequisites
Math 1220 is the prerequisite for this course, but we will be mostly be
using material from 1210. If you earned a C in either of these courses,
you should consider retaking them before this course.
Objectives
We will extend the ideas of derivative and integral from Calculus I,
and extend them to higher dimensions, developing the Gradient, Iterated
Integrals, Line Integrals, and Surface Integrals. We will also explore three
very important theorems, Green's Theorem, Gauss's Theorem, and Stoke's Theorem,
which are the higher dimensional analogues of the Fundamental Theorem of
Calculus. We will be using examples from physics, chemistry and biology to
ground our abstract study of multivariate functions.
Homework
Mathematics is the art of solving problems. Calculus is a tool which we
use in this art. The only way to learn how to use the tool is to solve problems
(just like the only way to learn how to use a paintbrush is to paint). For
that reason, homework is very important in this class. Accordingly, it is
a major part of your grade. I should give you the ground rules for homework
so that you are prepared to succeed in this class.
First, I will not accept late homework. You are being given all of the homework problems for the entire semester on day one. There are 210 problems total. Take advantage of this, try to stay ahead on the assignments. Please plan around conflicts that you know will arise (such as exams or papers in other classes, and family commitments). I realize that there will also be conflicts that you cannot foresee; therefore, I will grade the homework as if there were 10% fewer points possible. Essentially, this means that you could miss one assignment, and still possibly score 100% on the homework. Equivalently, you can score more than 100% if you miss no assignments. I will not be grading on a curve. This way, when your classmates score high on the homework, you can congratulate them and feel good for them because it does not lower your grade.
Homework must be neat. If you write your homework in a spiral notebook, please trim off the ruffles. Your papers should be stapled. By this I mean with metal staples. No ``origami'' staples. Be sure to put your name and assignment number on your paper as well. I will not accept homework papers if they are not stapled, or if they still have a rough edge. Any hand-drawn graphs or pictures should be drawn on either graph-paper or plain white paper.
Regarding notation, you should write only true statements. This means, among other things, that you should use an equals sign only to show that two things are equal. Please box your answer, show all of your work, and include units where appropriate. Feel free to write down estimates to the answer, especially if you are unable to do the problem. Be sure to include a statement on how you got the estimate. If the estimate is good and well-founded, then I am likely to give partial credit.
I recommend that you work in small groups (2 to 4 people seems best) on your homework. Each person should, however, turn in their own work.
I encourage you to use a computer on several of the problems. In fact, you may use a computer and/or calculator on any problem with the following guideline: you should treat your computer as if it were your Calculus I/II lackey; that is, you may ask it to perform any task that you might expect a typical Calculus I/II student to perform. For example, if you are computing a multiple integral, you may ask the computer to perform any of the single iterations, but not the entire integral itself. The only exception to this guideline is visualization: you may ask your computer to draw anything you want. Note that you will not be allowed any type of electronic device for the exams, so you should not become too heavily dependent on technology in your homework.
Midterm Exams
There will be three midterm exams for the course. During the exams, you
may not use a calculator, or any other electronic device. I will
probably allow a table of integrals and/or a sheet of notes.
Final Exam
The final exam will be held on Tuesday, May 2, 2006, from 6:00 p.m. to
8:00 p.m. This will be a comprehensive exam, covering the material from the
entire semester. You must pass this exam to pass the class.
Grading
The following relative weights will be used in determining the final
grade for the course:
HW
50%
Exams (3)
10% each
Final
20%
The grading scheme is as follows:
A at least 90%
B at least 80%
C at least 70%
D at least 60%
The +/- scores will be awarded at the fringes of these intervals.
Tutoring
Tutoring is offered by the Mathematics Department free of charge on
a drop-in basis. The tutoring center is located in the Math Center. It is
open 8:00 a.m. to 8:00 p.m. Monday through Thursday, and 8:00 a.m. to 6:00
p.m. Friday. It is closed on weekends and University holidays.
Americans with Disabilities Act
The Americans with Disabilities Act requires accommodations be provided
for students with physical, cognitive, systemic, learning and psychiatric
disabilities. Please contact me at the beginning of the semester to discuss
any such accommodations for this course.