MCS 222 Multivariable Calculus
Fall 201 M,Tu,Th,F,  Olin 317

Instructor: Michael Hvidsten
Text: Vector Calculus, 6th Ed, by Marsden and Tromba
(Plus appendices from Calculus by Hughes-Hallett, Gleason, McCallum, et al. )
Office Hours: 2:30-3:20 M,T,Th, 9:30-11:20 F, and by appointment

Multivariate Calculus extends the ideas of change (differentiation) and area (integration) to three (or more) dimensions.  The ideas discussed in this course are heavily utilized in subjects such as Engineering and Physics. Topics include: vectors and vector algebra, curves and surfaces in space, functions of several variables, partial derivatives, the chain rule, the gradient vector, multiple integrals, volume, surface area, the change of variables theorem, line integrals, surface integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.  In addition we will also touch on complex numbers and functions and polar coordinates.

Course Material:  We will be covering essentially all of the textbook, except for Chapter 3.  The schedule webpage is available from the course Moodle site. You should check the schedule to find out what we will be covered in a given class period. I will expect you to read through the section before coming to class. Please note that this schedule will occasionally be updated.

Exams: There will be two quizzes and three hour exams. These are scheduled for:

Exam 1: 9/16        Exam 2: 10/8     Exam 3: 10/29    Quiz 1: 11/5      Exam 4: 11/19     Quiz 2: 12/9

Final Exam: 200 pointsWednesday, Dec 18, 1:00-3:00pm, Classroom . (Comprehensive)

Homework: Your cumulative score on homework problems will be scaled to a total of 200 points.  Let the Golden Rule be your guide in preparing this homework: write it as if you were the person who would have to grade it.  Doing homework is a very essential part of mastering mathematics -- spend enough time on the homework so that you fully master the topic in question.  Please note that assignments are due at the beginning of the class period and no late homework will be accepted. I will, however, drop the lowest two homework scores.

Honor Policy: Every Gustavus student now agrees to abide by the academic honesty policy and honor code as a condition for enrollment. (I include here a link to the honor policy.) All students are expected to write and sign the following honor pledge on every examination and graded paper:

On my honor, I pledge that I have not given, received, nor tolerated others' use of unauthorized aid in completing this work.

Since there are two forms of assessment in this course (tests and homework), let me explain how this policy applies to each of these categories.

I will expect that each student does each exam entirely on their own.  Since I will be proctoring the exams, I expect that there will be little issue here.  I will put the standard honor pledge on the front of each exam for you to sign. The first violation of this policy on an exam will result in a 0 on that exam, and the Dean of the Faculty will be notified, as mandated by the policy. The second such violation will result in failing the course as well notification of the Dean of the Faculty.

Homework is a little different, since I encourage you to work on the homework together, though I want you to do so in an honorable way. This means that while you can discuss problems and their solutions, each of you should make a real effort to solve each problem by yourself, and you should give credit to any people or texts (other than the course texts) that helped you find solutions. Also, I expect that you will write up your work individually and never copy someone else's writeup. Should I detect students copying each other's work, I will on the first occasion talk with the people having similar work. On the second infraction, I will give you a 0 for that assignment and notify the Dean of the Faculty. Any further violation will result in increasing penalties, up to failing of the course.  I will not require you to sign the honor pledge for each homework assignment.