MATH-348 Advanced Engineering Mathematics - Spring 2009
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==Handouts== | ==Handouts== | ||
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{{PDF Table Item|filename=A61-TrigFormula.pdf|title=A61.TrigIdentities}} | {{PDF Table Item|filename=A61-TrigFormula.pdf|title=A61.TrigIdentities}} | ||
{{PDF Table Item|filename=Unit_Circle.pdf|title=Special Angles and the Unit Circle}} | {{PDF Table Item|filename=Unit_Circle.pdf|title=Special Angles and the Unit Circle}} | ||
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{{PDF Table Item|filename=FreqResponseHO.pdf|title= Frequency Response Graph for a Harmonic Oscillator m=k=1, Gamma = {1,.5,.25,.125} }} | {{PDF Table Item|filename=FreqResponseHO.pdf|title= Frequency Response Graph for a Harmonic Oscillator m=k=1, Gamma = {1,.5,.25,.125} }} | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/V.mp4 Heat Movie 1 - abs(x)] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/parabola.mp4 Heat Movie 2 - parabola] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/doubleV.mp4 Heat Movie 3 - Double V] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Heat_Dirch_Force.avi Heat Movie 4 - Forced Heat Equation with B.C. u(0,t)=u(L,t)=0 ] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Heat_Neumman_Forcing.avi Heat Movie 5 - Forced Heat Equation with B.C. u_{x}(0,t)=u_{x}(L,t)=0 ] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Wave_Dirch_Triangle1.divx.ff.avi Wave on a 1-D Sting with Fixed Endpoints] | ||
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+ | [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)] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Wave_Neumman_Triangle2.divx.ff.avi Wave on a 1-D Sting with FLAT Endpoints from HW10] | ||
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+ | [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)] | ||
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+ | [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] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/2DWave_Rec_BookEx1a.avi Rectangular Membrane Movie 1 -Text Example pg577] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/2DWave_Rec_BookEx1b.avi Rectangular Membrane 2 -Text Example pg577] | ||
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+ | [http://www.falstad.com/membrane/ Applet - Pretty Cool] | ||
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+ | [http://hyperphysics.phy-astr.gsu.edu/Hbase/music/recmem.html Rectangular Membrane Modes] | ||
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+ | [http://www.kettering.edu/~drussell/Demos/MembraneSquare/Square.html Animations of Rectangular Membrane Modes - Pretty Good] | ||
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+ | [http://www.kettering.edu/~drussell/demos.html Animations done by Dr. Russell - All sorts of stuff! ] | ||
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+ | [http://music.nebrwesleyan.edu/wtt/index.html The Well-Tempered Timpani By Richard K. Jones] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Membrane1.mp4 Vibrating Membrane1 - 12.9.1 Example] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/membrane2.mp4 Vibrating Membrane2 - 12.9.1 Example] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Mambrane3.mp4 Vibrating Membrane3 - 12.9.1 Example] | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/Mambrane4.mp4 Vibrating Membrane4 - 12.9.1 Example] | ||
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+ | [http://en.wikipedia.org/wiki/Shock_wave Wikipedia Article on Shock Waves] | ||
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+ | [http://physics-animations.com/Physics/English/swa_txt.htm Animation of Shock Wave Formation in Pressure Field] | ||
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+ | [http://www.youtube.com/watch?v=jZ3Hhdr8EjI&feature=PlayList&p=2AE42B05690BA5AD&playnext=1&playnext_from=PL&index=2 Shock Wave (Plane) - You Tube 1] | ||
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+ | [http://www.youtube.com/watch?v=QX04ySm4TTk&feature=PlayList&p=2AE42B05690BA5AD&index=3&playnext=2&playnext_from=PL Shock Wave (Plane) - You Tube 2] | ||
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+ | [http://www.youtube.com/watch?v=9r_2l5_FviU Shock Wave (Explosion) - You Tube 3] | ||
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+ | [http://www.youtube.com/watch?v=GvVQEl_q2ZM Shock Wave (Explosion) - You Tube 4 : Ignore The the cartoon bubble] | ||
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+ | [http://www.youtube.com/watch?v=pz7lcHN7GxQ Shock Wave (Simulation) - You Tube 5 : Notice the distortion of the expanding wave-front] | ||
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+ | [http://exploration.grc.nasa.gov/education/rocket/shock.html NASA - Shock Wave Simulator] | ||
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+ | [http://www.tfarchive.com/cartoons/wallpapers/shockwave17.jpg Shockwave :)] | ||
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+ | [http://en.wikipedia.org/wiki/Millennium_Bridge_(London) Millennium Bridge - Wikipedia] | ||
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+ | [http://www.youtube.com/watch?v=eAXVa__XWZ8 You Tube Video - Millennium Bridge Resonance] | ||
==Lecture Slides== | ==Lecture Slides== | ||
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{{PDF Table Item|filename=Math348_Lect11.spring2009.pdf|title= Lecture Eleven}} | {{PDF Table Item|filename=Math348_Lect11.spring2009.pdf|title= Lecture Eleven}} | ||
{{PDF Table Item|filename=Math348_Lect12.spring2009.pdf|title= Lecture Twelve}} | {{PDF Table Item|filename=Math348_Lect12.spring2009.pdf|title= Lecture Twelve}} | ||
+ | {{PDF Table Item|filename=Math348_Lect13.spring2009.pdf|title= Lecture Thirteen}} | ||
+ | {{PDF Table Item|filename=Math348_Lect14.spring2009.pdf|title= Lecture Fourteen}} | ||
+ | {{PDF Table Item|filename=Math348_Lect15.spring2009.pdf|title= Lecture Fifteen}} | ||
==Syllabus == | ==Syllabus == | ||
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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 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: | ||
{{PDF Table Item|filename=Math348_e2review.spring2009.pdf|title=Exam 2 - Review Sheet}} | {{PDF Table Item|filename=Math348_e2review.spring2009.pdf|title=Exam 2 - Review Sheet}} | ||
+ | {{PDF Table Item|filename=Math348_e2QA.Spring2009.pdf|title=Exam 2 - Spring2009 Q + A}} | ||
{{PDF Table Item|filename=Math348_e2.fall2008.pdf|title=Exam 2 - Fall2008 }} | {{PDF Table Item|filename=Math348_e2.fall2008.pdf|title=Exam 2 - Fall2008 }} | ||
{{PDF Table Item|filename=Math348_e2Soln.fall2008.pdf|title=Exam 2 - Fall2008 Solutions}} | {{PDF Table Item|filename=Math348_e2Soln.fall2008.pdf|title=Exam 2 - Fall2008 Solutions}} | ||
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Exam II - Statistics | Exam II - Statistics | ||
− | Average = | + | Average = 37.14 = 74.29% |
− | Median = | + | Median = 37 = 74%, |
− | A's = | + | A's = 9, B's = 25 , C's = 31 , D's = 23, F's =9, Total Number of Exams = 97 |
− | {{PDF Table Item|filename=Math348_e2.spring2009.pdf|title=Exam II - Spring2009 }} | + | {{PDF Table Item|filename=Math348_e2.spring2009.pdf|title=Exam II - Spring2009 }} See Soln for problem 3 graph. |
{{PDF Table Item|filename=Math348_e2Soln.spring2009.pdf|title=Exam II - Spring2009 Solutions}} | {{PDF Table Item|filename=Math348_e2Soln.spring2009.pdf|title=Exam II - Spring2009 Solutions}} | ||
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+ | The final exam will be held on May 4th from 10:15am-12:15am. The classes will be split across rooms. Please go to the room assigned to the class you are enrolled in. There will be no notecards or calculators. The exam will be cumulative with an emphasis on PDE. | ||
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+ | MATH348B-BE241 Proctor: Ecklund | ||
+ | MATH348C-BB201 Proctor: Bridgman | ||
+ | MATH348D-BB204A Proctor: Strong | ||
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+ | Since, it is likely I won't see most of you at the exam -- Have a good summer and it was nice having class with you. :) | ||
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+ | I will not be posting a practice exam, since it is policy to not disseminate final exams. I do have an old PDE only exam and I will post it below. | ||
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+ | {{PDF Table Item|filename=Math348_fereview.spring2009.pdf|title=Final Exam - Review Sheet}} | ||
+ | {{PDF Table Item|filename=Math348_ePDE.old.pdf|title=OLD PDE EXAM - See Soln for the graph in problem 1}} | ||
+ | {{PDF Table Item|filename=Math348_ePDESOLN.old.pdf|title=OLD PDE EXAM - SOLN}} | ||
==Assignments== | ==Assignments== | ||
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{{PDF Table Item|filename=Math348_hw8.spring2009.pdf|title=MATH348.Spring2009.Homework8}} | {{PDF Table Item|filename=Math348_hw8.spring2009.pdf|title=MATH348.Spring2009.Homework8}} | ||
{{PDF Table Item|filename=Math348_hw8.soln.spring2009.pdf|title=MATH348.Spring2009.Homework8Solutions}} | {{PDF Table Item|filename=Math348_hw8.soln.spring2009.pdf|title=MATH348.Spring2009.Homework8Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw9.spring2009.pdf|title=MATH348.Spring2009.Homework9}} | ||
+ | {{PDF Table Item|filename=Math348_hw9.soln.spring2009.pdf|title=MATH348.Spring2009.Homework9Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw10.spring2009.pdf|title=MATH348.Spring2009.Homework10}} | ||
+ | {{PDF Table Item|filename=Math348_hw10.soln.spring2009.pdf|title=MATH348.Spring2009.Homework10Solutions}} | ||
{{End PDF Table}} | {{End PDF Table}} | ||
Latest revision as of 00:45, 30 April 2009
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 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
Course Links
Graphing Utilities
Free Mathematica Like Program for Windows and Mac Eigenmath Manual