MATH-348 Advanced Engineering Mathematics - Summer 2009
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{{PDF Table Item|filename=Math348_LAReview.summer2009.pdf|title= Linear Algebra Basics}} | {{PDF Table Item|filename=Math348_LAReview.summer2009.pdf|title= Linear Algebra Basics}} | ||
{{PDF Table Item|filename=Math348_planes.summer2009.pdf|title= Three Planes in Space}} | {{PDF Table Item|filename=Math348_planes.summer2009.pdf|title= Three Planes in Space}} | ||
+ | {{PDF Table Item|filename=Unit_Circle.pdf|title=Special Angles and the Unit Circle}} | ||
+ | {{PDF Table Item|filename=Example11.1.1.pdf|title=FS for f(x}=x, x \in (-\pi,\pi)}} | ||
+ | {{PDF Table Item|filename=Example11.1.2.pdf|title=FS for f(x}=Exp(Abs(x)), x \in (-\pi,\pi)}} | ||
+ | |||
+ | [http://en.wikipedia.org/wiki/Sinc_function Wikipedia - Sinc Function] | ||
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+ | [http://mathworld.wolfram.com/SincFunction.html Mathworld - Sinc Function] | ||
+ | |||
+ | [http://en.wikipedia.org/wiki/Nyquist–Shannon_sampling_theorem Wikipedia - Nyquist-Shannon Sampling Theorem] | ||
+ | |||
+ | [http://mathworld.wolfram.com/Convolution.html Mathworld - Convolution (Animation)] | ||
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+ | [http://cnx.org/content/m13106/latest/ Convolution and Diffraction (Animations)] | ||
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+ | [http://cnx.org/content/m13106/latest/ Convolution and Diffraction (Animations)] | ||
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+ | [http://commons.wikimedia.org/wiki/File:Convolution_Animation_(Boxcar_and_Ramp).gif Wikipedia - Convolution (Animation)] | ||
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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} }} | ||
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+ | [http://www.mines.edu/~sstrong/AEM_Materials/V.mp4 Heat Movie 1 - abs(x)] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/parabola.mp4 Heat Movie 2 - parabola] | ||
+ | |||
+ | [http://www.mines.edu/~sstrong/AEM_Materials/doubleV.mp4 Heat Movie 3 - Double V] | ||
+ | |||
+ | [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)] | ||
+ | |||
+ | [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] | ||
+ | |||
+ | [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] | ||
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+ | [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] | ||
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+ | [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] | ||
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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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+ | |||
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+ | [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] | ||
==Lecture Slides== | ==Lecture Slides== | ||
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{{PDF Table Item|filename=Math348_Lect07.summer2009.pdf|title= Lecture 7}} | {{PDF Table Item|filename=Math348_Lect07.summer2009.pdf|title= Lecture 7}} | ||
{{PDF Table Item|filename=Math348_Lect08.summer2009.pdf|title= Lecture 8}} | {{PDF Table Item|filename=Math348_Lect08.summer2009.pdf|title= Lecture 8}} | ||
+ | {{PDF Table Item|filename=Math348_Lect09.summer2009.pdf|title= Lecture 9}} | ||
+ | {{PDF Table Item|filename=Math348_Lect10.summer2009.pdf|title= Lecture 10}} | ||
+ | {{PDF Table Item|filename=Math348_Lect11.summer2009.pdf|title= Lecture 11}} | ||
+ | {{PDF Table Item|filename=Math348_Lect12.summer2009.pdf|title= Lecture 12}} | ||
+ | {{PDF Table Item|filename=Math348_Lect13.spring2009.pdf|title= Lecture 13}} | ||
+ | {{PDF Table Item|filename=Math348_Lect14.summer2009.pdf|title= Lecture 14}} | ||
+ | {{PDF Table Item|filename=Math348_Lect15.summer2009.pdf|title= Lecture 15}} | ||
==Assignments== | ==Assignments== | ||
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{{PDF Table Item|filename=Math348_hw2.summer2009.pdf|title=MATH348.Summer2009.Homework2}} | {{PDF Table Item|filename=Math348_hw2.summer2009.pdf|title=MATH348.Summer2009.Homework2}} | ||
{{PDF Table Item|filename=Math348_hw2.soln.summer2009.pdf|title=MATH348.Summer2009.Homework2 - Solutions}} | {{PDF Table Item|filename=Math348_hw2.soln.summer2009.pdf|title=MATH348.Summer2009.Homework2 - Solutions}} | ||
− | |||
{{PDF Table Item|filename=Math348_hw3.summer2009.pdf|title=MATH348.Summer2009.Homework3}} | {{PDF Table Item|filename=Math348_hw3.summer2009.pdf|title=MATH348.Summer2009.Homework3}} | ||
+ | {{PDF Table Item|filename=Math348_hw3.soln.summer2009.pdf|title=MATH348.Summer2009.Homework3 - Solutions}} | ||
{{PDF Table Item|filename=Math348_hw4.summer2009.pdf|title=MATH348.Summer2009.Homework4}} | {{PDF Table Item|filename=Math348_hw4.summer2009.pdf|title=MATH348.Summer2009.Homework4}} | ||
+ | {{PDF Table Item|filename=Math348_hw4.soln.summer2009.pdf|title=MATH348.Summer2009.Homework4 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw5a.summer2009.pdf|title=MATH348.Summer2009.Homework5}} | ||
+ | {{PDF Table Item|filename=Math348_hw5.soln.spring2009.pdf|title=MATH348.Summer2009.Homework5 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw6.summer2009.pdf|title=MATH348.Summer2009.Homework6}} | ||
+ | {{PDF Table Item|filename=Math348_hw6.soln.summer2009.pdf|title=MATH348.Summer2009.Homework6 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw7.summer2009.pdf|title=MATH348.Summer2009.Homework7}} | ||
+ | {{PDF Table Item|filename=Math348_hw7.soln.summer2009.pdf|title=MATH348.Summer2009.Homework7 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw8.summer2009.pdf|title=MATH348.Summer2009.Homework8}} | ||
+ | {{PDF Table Item|filename=Math348_hw8.soln.spring2009.pdf|title=MATH348.Summer2009.Homework8 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw9a.summer2009.pdf|title=MATH348.Summer2009.Homework9}} | ||
+ | {{PDF Table Item|filename=Math348_hw9.soln.spring2009.pdf|title=MATH348.Summer2009.Homework9 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw10.summer2009.pdf|title=MATH348.Summer2009.Homework10}} | ||
==Exams == | ==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: | 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 I - Statistics | Exam I - Statistics | ||
− | + | Mean = 41.09 (~82%) | |
− | Median = | + | Median = 43 (86%) |
− | A's = | + | A's = 10, B's = 2, C's = 5, D's = 2, F's = 3, Total Number of Exams = 22 |
+ | |||
+ | {{PDF Table Item|filename=Math348_e1.summer2009.pdf|title=Exam I - Summer2009 }} | ||
+ | {{PDF Table Item|filename=Math348_e1Soln.summer2009.pdf|title=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: | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_e2review.summer2009.pdf|title=Exam 2 - Review Sheet}} | ||
+ | |||
+ | The following are the results of Q+A's from previous semesters: | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_e2QA.Spring2009.pdf|title=Exam 2 - Spring2009 Q + A}} | ||
+ | {{PDF Table Item|filename=Math348_e2QA.fall2008.pdf|title=Exam 2 - Fall2008 Q + A}} | ||
+ | |||
+ | The following exams with solutions are posted for your review. | ||
+ | |||
+ | {{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_e2.fall2008.pdf|title=Exam 2 - Fall2008 }} | ||
+ | {{PDF Table Item|filename=Math348_e2Soln.fall2008.pdf|title=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 | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_e2.summer2009.pdf|title=Exam II - Summer2009 }} | ||
+ | {{PDF Table Item|filename=Math348_e2Soln.summer2009.pdf|title=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: | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_fereview.summer2009.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}} | ||
==Course Links== | ==Course Links== |
Latest revision as of 16:15, 3 August 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.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