Math 3150 Spring 2002

 

      Course Notes and Homework Assignments

 

Some examples of Fourier series


Solutions to Some Homework Problems from Spring 2002

Homework #1 question 5
Homework #2 question 5
Homework #2 question 6
Homework #2 question 7
Homework #2 question 8
Homework #2 question 9
Homework #3, page 48 question 5
Homework #4
Homework #19  Web page

 
 

      Old Tests

Test (Version) Questions Answers
#1 (A) questions answers
#1 (B) questions answers
#1 (C) questions answers
#1 (D) questions answers
#2 (Practice) questions answers
#2 (A) questions answers
#2 (B) questions answers
#2 (C) questions answers
#2 (D) questions answers
#2 (E) questions answers
#3 (A) questions answers
Final (A) questions answers
Final (D) questions answers

 

    Sample Maple Worksheets

Worksheet Web Page Comments
Fourier series Fourier series An example of Fourier series principally to show you how to use Maple.
Square waves and uncertainty Square waves and uncertainty A more sophisticated example of Fourier series: the Fourier series of a skinny square wave and of a squat square wave..
Assignment #1 Assignment #1 First Maple assignment
Solution to part (a)  Solution to part (a)  Solution to part (a) of first Maple assignment
Solution to part (b)  Solution to part (b) Solution to part (b) of first Maple assignment
Solution to part (c) Solution to part (c) Solution to part (c) of first Maple assignment
Assignment #2 Assignment #2 Second Maple assignment
Solution Solution Solution to second Maple assignment
Wave equation animation Wave equation animation An example of using animation and Fourier series to model waves.
Animation of heat in a disk Animation of heat in a disk Using Fourier-Bessel series and animation to model heat in a disk.
Hanging chain Hanging chain Using Bessel series and animation to model a hanging chain. Turn your monitor 90 degrees counterclockwise before viewing it.
Clamped beam frequencies Clamped beam frequencies Using Maple to find the frequencies of vibration of a beam which is rigidly fixed at both ends. 
Vibrating beam Vibrating beam Using Sturm-Liouville theory to model a vibrating beam with simply fastened ends and one with clamped ends
 Vibrating beam with a free end  Vibrating beam with a free end Using Sturm-Liouville theory to model a vibrating beam with a clamped end and a free end.
Free particle Free particle Using eigenvectors and eigenvalues to find the lowest eigenfunction (the vacuum) for quantum mechanics of the free particle. This is really just to test the routines against exactly known results.
Potential well Potential well Using eigenvectors and eigenvalues to find the lowest eigenfunction (the vacuum) for quantum mechanics of the particle in a potential well, demonstrating quantum tunnelling.
Double well Double well The vacuum of a double well, showing that the particle is equally likely to be found inside either well, but very unlikely ever to be found in the middle. It "jumps" back and forth.

 

        Related Web Pages and Applets

A Fourier series Java applet
A Gibbs phenomenon web page
A Discrete and Fast Fourier Transform web page
Fast Fourier Transform graphics web page
Links to Fourier Transform information

Monday/Wednesday: These Grades Will Be Submitted To the Registrar

Code name Letter grade
444444 A
dragon13 B-
NA E
Bilbo A-
rem0 A
rcc4 B+
Warren A
Relic B+
ICU8 B
1891 C-
6004 C-
Mary3 A
Shrub B
SaraJ A-
magicjoeenda B
143558 A-
00120624 B
U8AB C
MADDOG B+
4847 B+
790303 A
72077 B
NA D
NA D
00226697 B+
MG01 A
4810 A-
NA E
CRISPIN B-
Bach A
0869 B-
3649 A
Wingnut B-
SSS8 B+
NA C-
schmitty B
NA E
halofive C+
McCormick B
NA E
sukhbaatar B
NA C-
7123 B-
bob dole B+
NA E
Class average B-


 

Tuesday/Thursday: These  Grades Will Be Submitted to the Registrar

Code name Letter grade
AMarcee B-
JWALLA B
0712 B-
mr. pella B
NA A-
shez B-
George A-
Happy dude B+
BenSmith82 E
Scarlet A
calvin A
NA A-
STAR C
NA E
4496 C-
00184562 C-
floss C+
donaji C
Bobbers D-
JITNEE A-
NA E
NA E
NA E
ham B+
Winter B-
MTNMAN E
BWanlass B-
Otter C-
NA E
1681 D-
Pogi D-
antdog B
NA E
John Doe E
Cam B+
MKNIEL B-
bagpipe C+
karaja A-
zippy A
odie C
stupid onf B
7339 C
NA A
6994 B
wookie C
kbs3 B-
4997 C+
NA E
pojke A
oph76 A
LNumeroUno C-
00054855 E
omega B+
4540 A
trees A-
pokey B+
Ichibon B+
Class average C