Revision as of 03:05, 12 November 2009

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

Course Documents

These downloads require Adobe Acrobat Reader Syllabus MATH348.fall2009.Syllabus Handouts Linear Algebra Basics Three Planes in Space Special Angles and the Unit Circle FS for f(x}=x, x \in (-\pi,\pi) 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) 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 Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Assignments MATH348.Fall2009.Homework0 MATH348.Fall2009.Homework1 MATH348.Fall2009.Homework1-Solutions MATH348.Fall2009.Homework2 MATH348.Fall2009.Homework2-Solutions MATH348.Fall2009.Homework3 MATH348.Summer2009.Homework3 - Solutions MATH348.Fall2009.Homework4 MATH348.Summer2009.Homework4 - Solutions MATH348.Fall2009.Homework5 MATH348.Summer2009.Homework5 - Solutions MATH348.Fall2009.Homework6 MATH348.Summer2009.Homework6 - Solutions MATH348.Fall2009.Homework7 MATH348.Fall2009.Homework7 - Solutions Homework Assignment 5 - Solutions (2008) - This is contains the solution to problem 5. MATH348.Fall2009.Homework8 MATH348.Fall2009.Homework8 - Solutions Exams Exam I Exam I will be held on September 30th 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 1 - Review Sheet - UPDATED The following exams with solutions are posted for your review. Exam 1 - Fall2008 Exam 1 - Fall2008 Solutions Exam I - Spring2009 Exam I - Spring2009 Solutions Exam I - Summer2009 Exam I - Summer2009 Solutions Exam I - Statistics Mean = 80.5% Median = 82& A's = 35, B's = 40, C's = 32, D's = 18, F's = 4, Total Number of Exams = 129 Exam I - Fall2009 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: Exam II - Review Sheet The following are the results of Q+A's from previous semesters: Exam 2 - Spring2009 Q + A Exam 2 - Fall2008 Q + A The following exams with solutions are posted for your review. Exam II - Fall2008 Exam II - Fall2008 Solutions Exam II - Spring2009 Exam II - Spring2009 Solutions Exam II - Summer2009 Exam II - Summer2009 Solutions Exam II - Statistics Mean = Median = A's = xx, B's = xx, C's = xx, D's = xx, F's = xx, Total Number of Exams = xxx Course Links Graphing Utilities Free Mathematica Like Program for Windows and Mac Eigenmath Manual