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.summer2009@gmail.com
Course Calendar
Classes Begin : June 15th, 2009
Meeting Days : Monday, Tuesday, Wednesday, Thursday
Course Sections :
Section A, 11:00am-12:20pm, Meyer Hall 357
Classes End : August 6th, 2009
Important Dates :
June 23rd - Last Day to Withdrawal (Without a W)
July 10th - Last Day to Withdrawal
Office Hours
Fixed Office Hours :
MTWR : 12:20pm-2:00pm
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.Summer2009.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 - Review of Chapter 7 Concepts
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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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| Lecture 13
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| Lecture 14
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Lecture 15
Assignments
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| MATH348.Summer2009.Homework1
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| MATH348.Summer2009.Homework1 - Solutions
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| MATH348.Summer2009.Homework2
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| MATH348.Summer2009.Homework2 - Solutions
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| MATH348.Summer2009.Homework3
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| MATH348.Summer2009.Homework3 - Solutions
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| MATH348.Summer2009.Homework4
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| MATH348.Summer2009.Homework4 - Solutions
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| MATH348.Summer2009.Homework5
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| MATH348.Summer2009.Homework5 - Solutions
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| MATH348.Summer2009.Homework6
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| MATH348.Summer2009.Homework6 - Solutions
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| MATH348.Summer2009.Homework7
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| MATH348.Summer2009.Homework7 - Solutions
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| MATH348.Summer2009.Homework8
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| MATH348.Summer2009.Homework8 - Solutions
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| MATH348.Summer2009.Homework9
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| MATH348.Summer2009.Homework9 - Solutions
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MATH348.Summer2009.Homework10
Exams
Exam I
Exam I will be held on July 2nd 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
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
Exam I - Statistics
Mean = 41.09 (~82%)
Median = 43 (86%)
A's = 10, B's = 2, C's = 5, D's = 2, F's = 3, Total Number of Exams = 22
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| Exam I - Summer2009
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Exam I - Summer2009 Solutions
Exam II
Exam I will be held on July 27th 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 2 - 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 - Spring2009 See Soln for problem 3 graph.
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| Exam II - Spring2009 Solutions
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| Exam 2 - Fall2008
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| Exam 2 - Fall2008 Solutions
Exam II - Statistics
Mean = 37.7
Median = 41
A's = 6, B's = 5, C's = 2, D's = 3, F's = 5, Total Number of Exams = 21
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| Exam II - Summer2009
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Exam II - Summer2009 Solutions
Exam III
Exam III will be held on August 6th 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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| 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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