MTH 204, Differential Equations and Numerical Methods for Engineers                   Spring 2002

 

Pau Atela

Burton 310

x 3814

patela@math.smith.edu

Office Hours: Tue 3-4:30, Wed 10-11

Christophe Golé

Burton 316

x 3875

cgole@math.smith.edu

Office hours: Mon 1:30-2:30,

Wed 1:30-2:30, Thu 9-10 (Tentative!)

 

Textbook: Numerical Methods for Engineers, Fourth Edition, by Chapra and Canale  (Mc Graw Hill)

 

About this Class: An introduction to the computational tools used to solve mathematical and engineering problems such as error analysis, root finding, systems of linear equations, optimization and, prominently, ordinary and partial differential equations.  You will use software packages, such as Excel, Mathematica and especially MATLAB, and will learn elementary programming within these packages.

 

Homework: The homework will be posted on Course Info each week. It will be due on Thursdays at the beginning of class.

 

Exams: There will be two take-home exams during the semester. There will also be a few quizzes.

 

Projects: There will be two group projects. These projects will require a variety of skills: use of software packages, programming, mathematical analysis, scientific common sense, and good presentation. You will be working on the final project for approximately 3 weeks.

 

Course Info (http://cinfo.smith.edu/): We will be using this web resource to post and retrieve homework and documents. If you’ve never used Course Info, use your SS# as both your login and password. If you are not registered in the class, you won’t have access to the class site. If this is the case, let us know right away by email so that we can add you on the Course Info list for this class.

 

Grading:

 

What

When

% Grade

Homework and Quizzes

Weekly and sporadically

25

Exam 1

February 21-28  (Take home)

20

Project 1

March 12-19 (Take home)

15

Exam 2

April 9-16  (Take home)

20

Final Project

Due May 10 (Take home)

20

 

Tentative Schedule of Topics:

 

Part 1: Modeling, Computers, and Error Analysis

Jan 29-Feb 7

Part 2: Roots of Equations

Feb 12-14

Part 3: Linear Algebraic Equations

Feb 19-26

Part 4: Optimization

Feb 28-Mar 5

Part 5: Curve Fitting

Mar 7-12

Part 7: Ordinary Differential Equations

Mar 14-Apr 18

Part 8: Partial Differential Equations

Apr 23-May 3

 

 

Software Resources: As mentioned above, we will concentrate on MATLAB in this course, while introducing Excel VBA and Mathematica at some point. These three software packages are available on all machines in the classrooms of Burton Hall, as well as the math forum and on more computers around the campus. Here are a few links for MATLAB. We will put more resources and links on course info as the course progresses.

A MATLAB tutorial: http://www.math.mtu.edu/~msgocken/intro/intro.html

A MATLAB reference card: http://ist.uwaterloo.ca/ec/scientific/Matlab/matlab.htm