Math 241H - Fall 2017

Practice Exams

Below are some practive exams courtesy of Justin Wyss-Gallifent.

Exam 1

Exam 2

Exam 3

Exam 4

Final

Tutoring Information

The math department has very good resources available for tutoring in various topics, including MATLAB. The schedule and list of tutors, organized by tutor, topic and room location is listed on the math department website. I strongly recommend making use of these resources if you are having trouble with the course material, or if you are simply looking for extra input.

Supplements to the Text

MIT Open Courseware Lectures on Multivariable Calculus

by James McKernan

This is a collection of free lecture notes on multivariable calculus for MIT students. The notes most (but not all) of the topics covered in this course, but in a different order and with different emphasis and notation.

Khan Academy Videos on Multivariable Calculus

This is another collection of free online videos on multivariable calculus. These lecture cover some of the material of the course, and many of the lecture vary in quality. The videos should be used as a supplement to the course and are not sufficient for a replacement of the text.

MATLAB Resources

Introduction to MATLAB for Engineering Students

by David Houcque

This is an excellent free pdf that covers most of the MATLAB basics.

Numerical Computing with MATLAB

by Cleve Moler

This chapter is available online for free as a pdf. The introduction is very broad and general.

Calculus Review

It's likely that you may have forgotten some of the basic fact from Calculus I and II. For those who would like a refresher on the calculus required for this course, please take a look at Dr. Levermore's excellent calculus review notes.

A review of Trigonometric and Hyperbolic Functions
Limits and Differentiability: Basic Concepts and General Rules
Some Applications of Derivatives
Limits and Integrability: Basic Concepts and General Rules
More Basics of Integration
Techniques of Integration