MAE 306 Notes #6b
Engineering Mathematics II
S. H. Lam
March 30, 1999
Mid Term with Answers
Closed-book Mid-Term; 80 Minutes
Appendix D, Table of Fourier Transforms, is provided on a separate sheet.
Useful Formula
cos(
mx
) cos(
nx
)dx = 0,
=
sin(
mx
) si
MAE 306 Notes #12a
Engineering Mathematics II
S. H. Lam
April 29, 1999
1
Reading and Homework Assignments
Study Chapter 24, Taylor Series, Laurent Series, and the Residue Theorem,
pp. 1209-1259 of Michael Greenbergs Advanced Engineering Mathematics,
and d
MAE 306 Notes #2a
Engineering Mathematics II
S. H. Lam
February 9, 1999
1
Reading and Homework Assignments
Study the remainder of Chapter 17, pp. 887-942 of Michael Greenbergs Advanced Engineering Mathematics, and do the problems assigned below.
The probl
MAE 306 Notes #3b
Engineering Mathematics II
S. H. Lam
February 23, 1999
1
Supplementary Notes
Consider the following PDE:
u
+ L(u) = S (x, t)
(1)
t
where S (x, t) is a source term and L is the following linear dierential
operator:
2
L(u) 2 .
(2)
x
The d
MAE 306 Notes #8b
Engineering Mathematics II
S. H. Lam
April 1, 1999
1
Supplementary Notes
There are three well-known linear elliptic PDEs associated with the Laplace
operator 2 , dened as (in one, two or three dimensions):
2
u = 0,
Laplace Equation
2
u =
MAE 306 Notes #11a
Engineering Mathematics II
S. H. Lam
April 20, 1999
1
Reading and Homework Assignments
Study Chapter 23, The Complex Integral Calculus, pp. 1183-1208 of Michael
Greenbergs Advanced Engineering Mathematics, and do the problem assigned be
MAE 306 Notes #10a
Engineering Mathematics II
S. H. Lam
April 16, 1999
1
Reading and Homework Assignments
Study Chapter 22, Conformal Mapping, pp. 1150-1181 of Michael Greenbergs Advanced Engineering Mathematics, and do the problem assigned below.
The pro
MAE 306 Notes #4a
Engineering Mathematics II
S. H. Lam
March 1, 1999
1
Reading and Homework Assignments
Study 18.6, Numerical Solutioon, pp. 999-1016 of Michael Greenbergs Advanced Engineering Mathematics, and do the problem assigned below.
The problems a
MAE 306 Notes #5a
Engineering Mathematics II
S. H. Lam
March 4, 1999
1
Reading and Homework Assignments
Greenbergs book do not cover rst order PDEs. This week, I will present
materials on this topic, supplemented by notes given below. Problems are
assigne
MAE 306 Notes #13a
Engineering Mathematics II
S. H. Lam
May 4, 1999
You are welcome to ask questions by email (lam@princeton.edu),
or call (8-5133) to make an appointment and then come by to ask
questions in person.
1
Study Hints for the Final
The nal ex
Final Examination
Engineering Mathematics II
Professor S. H. Lam
May 17, 1999
Closed-book; 3 hours
Look at all the problems, and budget your time intelligently. Taylor Series
of f (z ) about zo is:
f (z ) = f (zo ) + f (z )(z zo ) +
f (z )
f (z )
(z zo )2
MAE 306 Notes #9a
Engineering Mathematics II
S. H. Lam
April 8, 1999
1
Reading and Homework Assignments
Study Chapter 21, Complex Variable, pp. 1108-1149 of Michael Greenbergs
Advanced Engineering Mathematics, and do the problem assigned below.
The proble