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Latest revision as of 23:21, 9 December 2009

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Mathematical and Computer Sciences Course Wikis

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)

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 : $u 0 (x) = - tanh(x)$ : 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

Review of Ordinary Differential Equations (DRAFT - 11/16/09)

Lecture 13

Lecture 14

Lecture 15

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

MATH348.Fall2009.Homework9

MATH348.Fall2009.Homework9 - Solutions

MATH348.Fall2009.Homework10

MATH348.Fall2009.Homework10 - 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 = 36.8
    Median = 38
    A's = 12, B's = 40, C's = 37, D's = 20, F's = 20, Total Number of Exams  = 129

Exam II - Fall2009

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:

Final Exam - Review Sheet

OLD PDE EXAM - See Soln for the graph in problem 1

OLD PDE EXAM - SOLN

Course Links

Graphing Utilities

   Free Mathematica Like Program for Windows and Mac
   Eigenmath Manual

@@ Line 171: / Line 171: @@
 {{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==
@@ Line 190: / Line 194: @@
 {{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.summer2009.pdf|title=MATH348.Fall2009.Homework8 - Solutions}}
+{{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 ==
@@ Line 241: / Line 249: @@
       Exam II -  Statistics
-      Mean =
+      Mean = 36.8
-      Median =
+      Median = 38
-      A's = xx, B's = xx, C's = xx, D's = xx, F's = xx, Total Number of Exams  = xxx
+      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.
+:00am Section : BB204A : Proctor = Strong
+:00pm Section : BB204A - If there is no room then go to BB201 : Proctor = Strong or Ott
+: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==

MATH-348 Advanced Engineering Mathematics - Fall 2009

Latest revision as of 23:21, 9 December 2009

Contents

Course Information

Instructor Information

Course Calendar

Office Hours

Textbook Information

Course Documents

Syllabus

Handouts

Lecture Slides

Assignments

Exams

Exam I

Exam II

Final Exam

Course Links

Graphing Utilities

Personal tools

Namespaces

Variants

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