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Mathematical
Methods for Engineers (10.539/24.539)
Detailed Course Syllabus
The tables below represent a working course syllabus that lists
the primary subjects to be treated and the associated homework
assignment that covers the material on a particular topic. Generally,
it represents a rough road map for the entire course, and it directly
follows your Math Methods Lecture Notes (indicated chapters refer
to the Lecture Notes). This syllabus is tentative and it will
be modified as required to meet the needs of this particular class.
There will be roughly nine homework sets and two or three projects,
which averages to about one assignment per week (times allocated
may be adjusted slightly to account for the difficulty or length
of the particular assignment). The specific problems for each
assignment will be given in class and posted on the web as they
become available, and the due dates for the assignments will be
announced in class.
Solution
of ODEs 
Chapter 
Topic 
HW
Assignment 
1
 3 
Review
of Introductory Differential Equations and Linear Algebra 
HW
#1 
4 
General
Solution to IVPs (analytical and numerical solution to 1st
order systems) 
HW
#2 

Project
#1  Some Typical IVPs 

5 
General
Solution to BVPs (numerical solution via the Shooting and
FD methods) 
HW
#3 
6 
Numerical
Solution of Algebraic Equations 
 

Project
#2  Some Typical BVPs 

Appendix
I 
Introduction
to COMSOL
Multiphysics
(with focus on solution of ODEs) 
HW
#4 
Advanced
Analysis Techniques 
Chapter 
Topic 
HW
Assignment 
7 
Power
Series Solution Method 
HW
#5 
8 
Special
Functions and Orthogonality 
HW
#6

9 
SturmLiouville
Theory and Generalized Fourier Series 
Solution
of PDEs 
Chapter 
Topic 
HW
Assignment 
10 
Analytical
Solution of PDEs (Separation of Variables and Integral Transform
Methods) 
HW
#7 
11 
Numerical
Solution of PDEs via the FD Method 
HW
#8 
Appendix
I 
Introduction
to COMSOL Multiphysics (with focus on solution of PDEs) 
HW
#9 

Project
#3  Some Typical PDEs 

Last
updated by Prof. John R. White (Sept. 2007)
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