This is a copy of the original webpage for this course, which I taught at MSU in 2017. All of the contact information below is out of date.

Math 254H: Honors Multivariable Calculus

Fall 2017

Instructor: Kristen Hendricks
Office: D320 Wells
Office Hours: W 10-11, Th 5-6
E-Mail: hendricks at math .msu .edu
Instructor: Evan Runburg
MLC Hours: T 1:50-4, W 2:50-4, in the Honors room
E-Mail: runburge at msu .edu

A printable copy of the syllabus is here. Most course content lives both on this website and on the course webpage on D2L.

Location and Time

MWF 11:30-12:20 in A224 Wells Hall. Discussion section Th 10:20-11:40 in A322 Wells.

Content

This course is an introduction to calculus in multiple variables. We will discuss vectors in space, functions of several variables, partial differentiation, multiple integrals, line and surface integrals, and Green's and Stokes's Theorems.

Textbook

Marsden and Tromba, Vector Calculus. Sixth Edition.

Prerequisites

MTH 153H or MTH 133 or LB 119.


Homework

Homework will be assigned weekly and due at the beginning of Friday’s lecture. There will be thirteen homeworks. (There will not be a homework due the week of Thanksgiving.) No late homework will be accepted. Homework will not be accepted electronically. However, your lowest two homework scores will be dropped when computing your grade.

Typically three homework problems will be graded carefully, and some points will be given for completeness of the rest of the assignment.

Homework will predominantly be on material covered in lecture; occasionally, homework assignments will ask you to read a short section or example of new material, and do problems related to it.

You are encouraged to work in groups on your homework; this is generally beneficial to your understanding and helps you learn how to communicate clearly about mathematics. However, you must write up all solutions yourself. Moreover, since crediting your collaborators is an important element of academic ethics, you should write down with whom you worked at the top of each assignment. You should also cite any other sources other than lecture and the textbook (another book, a blog about analysis, etc) you use.

Quizzes

There will be two short in-class quizzes in discussion section on Thursday, September 14 and Thursday, October 26. There will not be any make-up quizzes except in extreme and documented circumstances.

Exams

There will be two eighty-minute midterms in discussion section on Thursday, October 5 and Thursday, November 16. There will also be a final exam Wednesday, December 13, 7:45-9:45 a.m. There will be not be any make-up exams except in extreme and documented circumstances. Note that department policy forbids early final exams for any reason.

Grading

Grades will be computed as follows:

A reasonable curve will be applied to the composite numerical scores. In past iterations of this class, typically the average has been a 3.5.

Schedule

We will cover most of Marsden and Tromba, essentially linearly, with the addition of some extra background material on linear algebra. Precise reading for each week will be provided as the course goes on. You will get the most out of lecture if you do the reading before coming to class.


Homeworks

Homework 1 Due September 8. Solutions

Homework 2 Due September 15.Solutions

Homework 3 Due September 22. Solutions

Homework 4 Due September 29.

Homework 5 Due October 6.

Homework 6 Due October 13.

Homework 7 Due October 20.Solutions

Homework 8 Due October 27.

Homework 9 Due November 3.

Homework 10 Due November 10. Solutions

Homework 11 Due November 20.

Homework 12 Due December 1.

Homework 13 Due December 8.

Quiz Solutions

Solutions to Quiz 1

Solutions to Quiz 2

Exams

Sample Midterm 1Solutions

Midterm 1Solutions

Sample Midterm 2Solutions

Midterm 1Solutions

Midterm 1