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 266
Office Phone : 303.384.2446
email : math348.fall2009@gmail.com
Course Calendar
Classes Begin : August 25th, 2009
Meeting Days : Monday, Wednesday, Friday
Course Sections :
C : 11:00am-11:50am & Location: Green Center 210 South
D : 1:00pm-1:50pm & Location: Green Center 265
E : 2:00pm-2:50pm & Location: Coolbaugh Hall 131
Last Day to Drop Without a W : September 9th
Last Day to Withdraw : November 3rd
Classes End : December 9th, 2009
Important Dates :
September 9th : Last Day to Withdrawal (Without a W)
October 19th-20th : Fall Break
November 3rd : Last Day to Withdrawal
November 25th-27th : Thanksgiving Break
Office Hours
Fixed Office Hours :
MWF : 12:00pm-12:50pm
Monday : 3:00pm-5:00pm
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
Course Documents
 These downloads require Adobe Acrobat Reader
Syllabus
MATH348.fall2009.Syllabus
Handouts
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| Linear Algebra Basics
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| Three Planes in Space
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| Special Angles and the Unit Circle
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| FS for f(x}=x, x \in (-\pi,\pi)
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| 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)
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| Frequency Response Graph for a Harmonic Oscillator m=k=1, Gamma = {1,.5,.25,.125}
Heat Movie 1 - abs(x)
Heat Movie 2 - parabola
Heat Movie 3 - Double V
Heat Movie 4 - Forced Heat Equation with B.C. u(0,t)=u(L,t)=0
Heat Movie 5 - Forced Heat Equation with B.C. u_{x}(0,t)=u_{x}(L,t)=0
Wave on a 1-D Sting with Fixed Endpoints
Wave on a 1-D Sting with Fixed Endpoints - Animated with first 5 Fourier Modes (Fundamental Mode in Red)
Wave on a 1-D Sting with FLAT Endpoints from HW10
Wave on a 1-D Sting with FLAT Endpoints from HW10 - Animated with first 5 Fourier Modes (Fundamental Mode in Red)
Traveling Wave :u0(x) = − tanh(x): Red = Right Traveling, Blue=Left Traveling, Black = Superposition
Rectangular Membrane Movie 1 -Text Example pg577
Rectangular Membrane 2 -Text Example pg577
Applet - Pretty Cool
Rectangular Membrane Modes
Animations of Rectangular Membrane Modes - Pretty Good
Animations done by Dr. Russell - All sorts of stuff!
The Well-Tempered Timpani By Richard K. Jones
Vibrating Membrane1 - 12.9.1 Example
Vibrating Membrane2 - 12.9.1 Example
Vibrating Membrane3 - 12.9.1 Example
Vibrating Membrane4 - 12.9.1 Example
Wikipedia Article on Shock Waves
Animation of Shock Wave Formation in Pressure Field
Shock Wave (Plane) - You Tube 1
Shock Wave (Plane) - You Tube 2
Shock Wave (Explosion) - You Tube 3
Shock Wave (Explosion) - You Tube 4 : Ignore The the cartoon bubble
Shock Wave (Simulation) - You Tube 5 : Notice the distortion of the expanding wave-front
NASA - Shock Wave Simulator
Shockwave :)
Millennium Bridge - Wikipedia
You Tube Video - Millennium Bridge Resonance
Lecture Slides
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| Lecture 1
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| Lecture 2
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| Lecture 3
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| Lecture 4
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| Lecture 5
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| Lecture 6
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| Lecture 7
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| Lecture 8
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| Lecture 9
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| Lecture 10
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| Lecture 11
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| Lecture 12
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| Review of Ordinary Differential Equations (DRAFT - 11/16/09)
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| Lecture 13
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| Lecture 14
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Lecture 15
Assignments
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| MATH348.Fall2009.Homework0
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| MATH348.Fall2009.Homework1
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| MATH348.Fall2009.Homework1-Solutions
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| MATH348.Fall2009.Homework2
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| MATH348.Fall2009.Homework2-Solutions
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| MATH348.Fall2009.Homework3
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| MATH348.Summer2009.Homework3 - Solutions
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| MATH348.Fall2009.Homework4
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| MATH348.Summer2009.Homework4 - Solutions
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| MATH348.Fall2009.Homework5
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| MATH348.Summer2009.Homework5 - Solutions
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| MATH348.Fall2009.Homework6
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| MATH348.Summer2009.Homework6 - Solutions
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| MATH348.Fall2009.Homework7
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| MATH348.Fall2009.Homework7 - Solutions
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| Homework Assignment 5 - Solutions (2008) - This is contains the solution to problem 5.
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| MATH348.Fall2009.Homework8
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| MATH348.Fall2009.Homework8 - Solutions
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| MATH348.Fall2009.Homework9
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| MATH348.Fall2009.Homework9 - Solutions
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| MATH348.Fall2009.Homework10
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MATH348.Fall2009.Homework10 - Solutions
Exams
Exam I
Exam I will be held on September 30th in class. There will be no notecards or calculators. The exam will have five required questions and contain material outlined in the following review:
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| Exam 1 - Review Sheet - UPDATED
The following exams with solutions are posted for your review.
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| Exam 1 - Fall2008
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| Exam 1 - Fall2008 Solutions
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| Exam I - Spring2009
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| Exam I - Spring2009 Solutions
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| Exam I - Summer2009
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Exam I - Summer2009 Solutions
Exam I - Statistics
Mean = 80.5%
Median = 82&
A's = 35, B's = 40, C's = 32, D's = 18, F's = 4, Total Number of Exams = 129
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| Exam I - Fall2009
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| Exam I - Fall2009 Solutions
Exam II
Exam I will be held on November 13th in class. There will be no notecards or calculators. The exam will have five required questions and contain material outlined in the following review:
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| Exam II - Review Sheet
The following are the results of Q+A's from previous semesters:
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| Exam 2 - Spring2009 Q + A
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| Exam 2 - Fall2008 Q + A
The following exams with solutions are posted for your review.
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| Exam II - Fall2008
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| Exam II - Fall2008 Solutions
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| Exam II - Spring2009
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| Exam II - Spring2009 Solutions
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| Exam II - Summer2009
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Exam II - Summer2009 Solutions
Exam II - Statistics
Mean = 36.8
Median = 38
A's = 12, B's = 40, C's = 37, D's = 20, F's = 20, Total Number of Exams = 129
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| Exam II - Fall2009
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Exam I - Fall2009 Solutions - Graphs Included
Final Exam
The final exam will be held on December 14th in Brown Building 201 and 204.
11:00am Section : BB204A : Proctor = Strong
1:00pm Section : BB204A - If there is no room then go to BB201 : Proctor = Strong or Ott
2:00pm Section : BB201 : Proctor = Ott
There will be no notecards or calculators. The exam will have ten required questions and contain material outlined in the following review:
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| Final Exam - Review Sheet
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| OLD PDE EXAM - See Soln for the graph in problem 1
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OLD PDE EXAM - SOLN
Course Links
Graphing Utilities
Free Mathematica Like Program for Windows and Mac
Eigenmath Manual
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