MATH-348 Advanced Engineering Mathematics - Spring 2009

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Course Information

MATH348: Advanced Engineering Mathematics - Introduction to partial differential equations, with applications to physical phenomena. Fourier series. Linear algebra, with emphasis on sets of simultaneous equations. Prerequisite: MATH 225 or equivalent.

Instructor Information

Instructor : Scott Strong

Office : Chauvenet Hall 278

Office Phone : 303.384.2446

email : math348.spring2009@gmail.com

Course Calander

Classes Begin : January 7th, 2009

Meeting Days : Monday, Wednesday, Friday

Course Sections :

    Section B,  12:00pm-12:50pm, Alderson Hall 330
    Section C, 1:00pm-1:50pm, Green Center 211
    Section D, 2:00pm-2:50pm, Green Center 211


Class Holidays :

    February 16th, 2009 - Presidents Day
    March 9th-13th, 2009 - Spring Break
    April 2nd-4th, 2009 - E-Days


Classes End : April 30th, 2009

Important Dates :

   January  22nd - Last Day to Withdrawal  (Without a W)
   March 24th - Last Day to Withdrawal 

Office Hours

Fixed Office Hours :

 M : 3-4pm
 W : 11-12pm
 F : 11-12pm 

If you cannot meet during the previous office hours then please contact me to schedule another meeting time.

Textbook Information

    Textbook : Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9
    9th Edition Amazon : Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9
    8th Edition Amazon (Used) : Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9
Pdf.png These downloads require Adobe Acrobat Reader

Course Documents

Handouts

A61.TrigIdentities
Special Angles and the Unit Circle
FS for f(x}=x, x \in (-\pi,\pi)
FS for f(x}=Exp(Abs(x)), x \in (-\pi,\pi)

Wikipedia - Sinc Function

Mathworld - Sinc Function

Wikipedia - Nyquist-Shannon Sampling Theorem

Mathworld - Convolution (Animation)

Convolution and Diffraction (Animations)

Convolution and Diffraction (Animations)

Wikipedia - Convolution (Animation)

Frequency Response Graph for a Harmonic Oscillator m=k=1, Gamma = {1,.5,.25,.125}

Lecture Slides

Lecture 1
Lecture 2
Lecture 3-4
Lecture 5
Lecture 6'ish
Lecture Six
Lecture Seven
Lecture Eight
Lecture Nine
Lecture Ten

Syllabus

MATH348.Spring2009.Syllabus

Exams

Exam I will be held on February 13th in class there will be no class the following Wednesday. There will be no notecards or calculators. The exam will be five questions and contain material outlined in the following review:

Exam 1 - Review Sheet
Exam 1 - Fall2008
Exam 1 - Fall2008 Solutions
    Exam I -  Statistics
    Average = 39.69 = 79.38%
    Median = 41 = 82%
    A's = 27, B's = 31 , C's = 17 , D's = 16, F's =9, Total Number of Exams  = 100
Exam 1 - Spring2009
Exam 1 - Spring2009 Solutions


Exam II will be held on April 1st in class there will be no class the following Monday. There will be no notecards or calculators. The exam will be five questions and contain material outlined in the following review:

Exam 2 - Review Sheet
Exam 2 - Fall2008
Exam 2 - Fall2008 Solutions
Exam 2 - Fall2008 Q + A

Assignments

MATH348.Spring2009.Homework1
MATH348.Spring2009.Homework1.Solutions
MATH348.Spring2009.Homework2
MATH348.Spring2009.Homework2Solutions

Picture of a Parallelepiped : [1]

MATH348.Spring2009.Homework3
MATH348.Spring2009.Homework3Solutions
MATH348.Spring2009.Homework4
MATH348.Spring2009.Homework4Solutions
MATH348.Spring2009.Homework5
MATH348.Spring2009.Homework5Solutions
MATH348.Spring2009.Homework6

NOTE : For the graphs you may want to consider using the eigenmath program posted below. Eigenmath Script for Example1 Results Feel free to post better scripts. I'm sure that this program could find the coefficients from their integral definitions.

NOTE : A typo has been corrected. You should assume that E=\omega = 1 and L = \pi.

NOTE : Thanks to David Melton for Another Graphing Utility - Graphs Truncated FS

MATH348.Spring2009.Homework6Solutions
MATH348.Spring2009.Homework7
MATH348.Spring2009.Homework7Solutions
MATH348.Spring2009.Homework8

Course Links

Graphing Utilities

   Free Mathematica Like Program for Windows and Mac
   Eigenmath Manual
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