MATH-348 Advanced Engineering Mathematics - Fall 2009
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{{PDF Table Item|filename=Math348_LAReview.fall2009.pdf|title= Linear Algebra Basics}} | {{PDF Table Item|filename=Math348_LAReview.fall2009.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] | ||
+ | |||
+ | [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)] | ||
+ | |||
+ | [http://cnx.org/content/m13106/latest/ Convolution and Diffraction (Animations)] | ||
+ | |||
+ | [http://cnx.org/content/m13106/latest/ Convolution and Diffraction (Animations)] | ||
+ | |||
+ | [http://commons.wikimedia.org/wiki/File:Convolution_Animation_(Boxcar_and_Ramp).gif Wikipedia - Convolution (Animation)] | ||
+ | |||
+ | {{PDF Table Item|filename=FreqResponseHO.pdf|title= Frequency Response Graph for a Harmonic Oscillator m=k=1, Gamma = {1,.5,.25,.125} }} | ||
+ | |||
+ | |||
+ | [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 ] | ||
+ | |||
+ | [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 ] | ||
+ | |||
+ | |||
+ | [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] | ||
+ | |||
+ | |||
+ | [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] | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | [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] | ||
==Lecture Slides== | ==Lecture Slides== | ||
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{{PDF Table Item|filename=Math348_Lect06.fall2009.pdf|title= Lecture 6}} | {{PDF Table Item|filename=Math348_Lect06.fall2009.pdf|title= Lecture 6}} | ||
{{PDF Table Item|filename=Math348_Lect07.fall2009.pdf|title= Lecture 7}} | {{PDF Table Item|filename=Math348_Lect07.fall2009.pdf|title= Lecture 7}} | ||
+ | {{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.fall2009.pdf|title= Lecture 11}} | ||
+ | {{PDF Table Item|filename=Math348_Lect12.fall2009.pdf|title= Lecture 12}} | ||
+ | {{PDF Table Item|filename=Math348_ODEReview.fall2009.pdf|title= Review of Ordinary Differential Equations (DRAFT - 11/16/09)}} | ||
+ | {{PDF Table Item|filename=Math348_Lect13.spring2009.pdf|title= Lecture 13}} | ||
+ | {{PDF Table Item|filename=Math348_Lect14.fall2009.pdf|title= Lecture 14}} | ||
+ | {{PDF Table Item|filename=Math348_Lect15.fall2009.pdf|title= Lecture 15}} | ||
==Assignments== | ==Assignments== | ||
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{{PDF Table Item|filename=Math348_hw2.soln.fall2009.pdf|title=MATH348.Fall2009.Homework2-Solutions}} | {{PDF Table Item|filename=Math348_hw2.soln.fall2009.pdf|title=MATH348.Fall2009.Homework2-Solutions}} | ||
{{PDF Table Item|filename=Math348_hw3.fall2009.pdf|title=MATH348.Fall2009.Homework3}} | {{PDF Table Item|filename=Math348_hw3.fall2009.pdf|title=MATH348.Fall2009.Homework3}} | ||
+ | {{PDF Table Item|filename=Math348_hw3.soln.summer2009.pdf|title=MATH348.Summer2009.Homework3 - Solutions}} | ||
{{PDF Table Item|filename=Math348_hw4.fall2009.pdf|title=MATH348.Fall2009.Homework4}} | {{PDF Table Item|filename=Math348_hw4.fall2009.pdf|title=MATH348.Fall2009.Homework4}} | ||
+ | {{PDF Table Item|filename=Math348_hw4.soln.summer2009.pdf|title=MATH348.Summer2009.Homework4 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw5.fall2009.pdf|title=MATH348.Fall2009.Homework5}} | ||
+ | {{PDF Table Item|filename=Math348_hw5.soln.spring2009.pdf|title=MATH348.Summer2009.Homework5 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw6.fall2009.pdf|title=MATH348.Fall2009.Homework6}} | ||
+ | {{PDF Table Item|filename=Math348_hw6.soln.summer2009.pdf|title=MATH348.Summer2009.Homework6 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw7.fall2009.pdf|title=MATH348.Fall2009.Homework7}} | ||
+ | {{PDF Table Item|filename=Math348_hw7.soln.summer2009.pdf|title=MATH348.Fall2009.Homework7 - Solutions}} | ||
+ | {{PDF Table Item|filename=348.Hw5.s08Soln.pdf|title=Homework Assignment 5 - Solutions (2008) - This is contains the solution to problem 5.}} | ||
+ | {{PDF Table Item|filename=Math348_hw8.fall2009.pdf|title=MATH348.Fall2009.Homework8}} | ||
+ | {{PDF Table Item|filename=Math348_hw8.soln.spring2009.pdf|title=MATH348.Fall2009.Homework8 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw9.fall2009.pdf|title=MATH348.Fall2009.Homework9}} | ||
+ | {{PDF Table Item|filename=Math348_hw9.soln.spring2009.pdf|title=MATH348.Fall2009.Homework9 - Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_hw10.fall2009.pdf|title=MATH348.Fall2009.Homework10}} | ||
+ | {{PDF Table Item|filename=Math348_hw10.soln.spring2009.pdf|title=MATH348.Fall2009.Homework10 - Solutions}} | ||
==Exams == | ==Exams == | ||
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Exam I - Statistics | Exam I - Statistics | ||
− | Mean = | + | Mean = 80.5% |
− | Median = | + | Median = 82& |
− | A's = | + | A's = 35, B's = 40, C's = 32, D's = 18, F's = 4, Total Number of Exams = 129 |
+ | |||
+ | |||
+ | {{PDF Table Item|filename=Math348_e1.fall2009.pdf|title=Exam I - Fall2009 }} | ||
+ | {{PDF Table Item|filename=Math348_e1Soln.Fall2009.pdf|title=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: | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_E2review.pdf|title=Exam II - 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.fall2008.pdf|title=Exam II - Fall2008 }} | ||
+ | {{PDF Table Item|filename=Math348_e2Soln.fall2008.pdf|title=Exam II - Fall2008 Solutions}} | ||
+ | {{PDF Table Item|filename=Math348_e2.spring2009.pdf|title=Exam II - Spring2009 }} | ||
+ | {{PDF Table Item|filename=Math348_e2Soln.spring2009.pdf|title=Exam II - Spring2009 Solutions}} | ||
+ | {{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 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 | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_e2.fall2009.pdf|title=Exam II - Fall2009 }} | ||
+ | {{PDF Table Item|filename=Math348_e2Soln.Fall2009.pdf|title=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: | ||
+ | |||
+ | {{PDF Table Item|filename=Math348_fereview.Fall2009.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 23:21, 9 December 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 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