MATH-348 Advanced Engineering Mathematics - Spring 2010
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===Wave Equation=== | ===Wave Equation=== | ||
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+ | ====1D Wave Equation==== | ||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Wave_Dirch_Triangle1.divx.ff.avi Wave on a 1-D Sting with Fixed Endpoints] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Wave_Dirch_Triangle2.divx.ff.avi Wave on a 1-D Sting with Fixed Endpoints - Animated with first 5 Fourier Modes (Fundamental Mode in Red)] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Wave_Neumman_Triangle2.divx.ff.avi Wave on a 1-D Sting with FLAT Endpoints from HW10] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Wave_Neumman_Triangle1.divx.ff.avi Wave on a 1-D Sting with FLAT Endpoints from HW10 - Animated with first 5 Fourier Modes (Fundamental Mode in Red)] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Traveling%20Waves.divx.ff.avi Traveling Wave :<math>u_{0}(x) = -\tanh(x)</math>: Red = Right Traveling, Blue=Left Traveling, Black = Superposition] | ||
+ | |||
+ | ====2D Wave Equation Rectangular and Polar==== | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/2DWave_Rec_BookEx1a.avi Rectangular Membrane Movie 1 -Text Example pg577] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/2DWave_Rec_BookEx1b.avi Rectangular Membrane 2 -Text Example pg577] | ||
+ | |||
+ | [http://www.falstad.com/membrane/ Applet - Pretty Cool] | ||
+ | |||
+ | [http://hyperphysics.phy-astr.gsu.edu/Hbase/music/recmem.html Rectangular Membrane Modes] | ||
+ | |||
+ | [http://www.kettering.edu/~drussell/Demos/MembraneSquare/Square.html Animations of Rectangular Membrane Modes - Pretty Good] | ||
+ | |||
+ | [http://www.kettering.edu/~drussell/demos.html Animations done by Dr. Russell - All sorts of stuff! ] | ||
+ | |||
+ | |||
+ | [http://music.nebrwesleyan.edu/wtt/index.html The Well-Tempered Timpani By Richard K. Jones] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Membrane1.mp4 Vibrating Membrane1 - 12.9.1 Example] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/membrane2.mp4 Vibrating Membrane2 - 12.9.1 Example] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Mambrane3.mp4 Vibrating Membrane3 - 12.9.1 Example] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/Mambrane4.mp4 Vibrating Membrane4 - 12.9.1 Example] | ||
+ | |||
+ | |||
+ | |||
+ | ====Nonlinear Wave Phenomenon==== | ||
+ | |||
+ | [http://en.wikipedia.org/wiki/Shock_wave Wikipedia Article on Shock Waves] | ||
+ | |||
+ | [http://physics-animations.com/Physics/English/swa_txt.htm Animation of Shock Wave Formation in Pressure Field] | ||
+ | |||
+ | [http://www.youtube.com/watch?v=jZ3Hhdr8EjI&feature=PlayList&p=2AE42B05690BA5AD&playnext=1&playnext_from=PL&index=2 Shock Wave (Plane) - You Tube 1] | ||
+ | |||
+ | [http://www.youtube.com/watch?v=QX04ySm4TTk&feature=PlayList&p=2AE42B05690BA5AD&index=3&playnext=2&playnext_from=PL Shock Wave (Plane) - You Tube 2] | ||
+ | |||
+ | [http://www.youtube.com/watch?v=9r_2l5_FviU Shock Wave (Explosion) - You Tube 3] | ||
+ | |||
+ | [http://www.youtube.com/watch?v=GvVQEl_q2ZM Shock Wave (Explosion) - You Tube 4 : Ignore The the cartoon bubble] | ||
+ | |||
+ | [http://www.youtube.com/watch?v=pz7lcHN7GxQ Shock Wave (Simulation) - You Tube 5 : Notice the distortion of the expanding wave-front] | ||
+ | |||
+ | [http://exploration.grc.nasa.gov/education/rocket/shock.html NASA - Shock Wave Simulator] | ||
+ | |||
+ | [http://www.tfarchive.com/cartoons/wallpapers/shockwave17.jpg Shockwave :)] | ||
+ | |||
+ | |||
+ | |||
+ | [http://en.wikipedia.org/wiki/Millennium_Bridge_(London) Millennium Bridge - Wikipedia] | ||
+ | |||
+ | [http://www.youtube.com/watch?v=eAXVa__XWZ8 You Tube Video - Millennium Bridge Resonance] | ||
{{End PDF Table}} | {{End PDF Table}} |
Revision as of 16:50, 11 April 2010
Main Page | > | Mathematical and Computer Sciences Course Wikis |
Contents |
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.spring2010@gmail.com
Course Calendar
Classes Begin : January 13th, 2010
Lecture Days : Monday, Wednesday, Friday
Course Sections :
B : 11:00am-11:50am - Location: Coolbaugh Hall 131 C : 1:00pm-1:50pm - Location: Green Center 211 D : 2:00pm-2:50pm - Location: Alderson Hall 430
Last Day to Drop Without a W : January 28th
Last Day to Withdraw : March 30th
Classes End : May 14th, 2010
Important Dates :
February 14th : No Classes March 15th-19th : Spring Break April 8th-10th : E-Days May 3th-7th : Dead Week May 7th : Dead Day
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. Please see this google calender to see the times I am unavailable.
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