MATH-348 Advanced Engineering Mathematics - Spring 2010

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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.spring2010@gmail.com

Course Calendar

Classes Begin : January 13th, 2010

Lecture Days : Monday, Wednesday, Friday

Course Sections :

  B : 11:00am-11:50am - Location: Coolbaugh Hall 131
  C : 1:00pm-1:50pm - Location: Green Center 211
  D : 2:00pm-2:50pm - Location: Alderson Hall 430

Last Day to Drop Without a W : January 28th

Last Day to Withdraw : March 30th

Classes End : May 14th, 2010

Important Dates :

   February 14th : No Classes
   March 15th-19th : Spring Break
   April 8th-10th : E-Days
   May 3th-7th : Dead Week
   May 7th : Dead Day

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. Please see this google calender to see the times I am unavailable.

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 Materials

Pdf.png These downloads require Adobe Acrobat Reader
MATH348.Spring2010.Syllabus

Lecture Slides

00.LS.Introduction
01.LS.Classical Vector Spaces
02.LS.Geometry in R^n
03.LS.Abstract Vector Spaces

Lecture Notes

00.LN.Overview And Outline
01.LN.LinearDefinitions : Updated 1.27.2010. Footnotes have been added referencing locations in the text where these definitions can be found.
02.LN.Introduction To Linear Equations
03.LN.Solving Linear Systems
04.LN.Square Systems - Determinants and Matrix Inversion
05.LN.Introduction to Linear Vector Spaces
06.LN.Chapter 7 - Wrap Up
07.LN.Eigenproblems
08.LN.Diagonalization

Assignments

Homework0 - Due Jan. 18th by 5:00pm
Homework0 - Solutions
Homework1 - Due Feb. 3rd by 5:00pm - Note: Updated 1/19/2010, fixed a typo in problem 2 matrix 2, a_{22} = -3
Homework1 - Solutions
     Graphics for Homework 1
     Geometry of Problem 2 System 1
     Geometry of Problem 2 System 2
     Geometry of Problem 2 System 3
     Geometry of Problem 2 System 4
     Geometry of Problem 2 System 5
     Interpolated Parabolas of Problem 4  Set 1
     Interpolated Parabolas of Problem 4  Set 2
     Geometry of Least Squares Problem of Problem 4  Set 2
     Interpolated Parabolas of Problem 4  Set 3
Homework2 - Due Feb. 12th by 5:00pm : 1) Header Box Updated 2) Problem 4.2 \lambda = n^2
Homework2 - Solutions : Update - There were a couple of typos, nothing major, corrected. 2/8/2010 : Updated again - One of the typos I corrected last time was not a typo at all (1.4). I have put it back in its place.
Homework3 - Due Feb. 22th by 5:00pm : Update - Typo in problem 4. This problem should reference matrix A_5

Other Materials

Linear Algebra

Three Planes in Space

Three Planes in Space - Four Different Ways
 Legend for the Animations
   Red = First Plane Equation
   Orange = Second Plane Equation
   Yellow = Third Plane Equation
   Green = Column Space of A (AKA the set of all linear combination of the pivot columns of A)
   Blue = Right Hand Side for non-homogeneous problem.

Animation : Ax=0 with oo-many solutions that form a line in space.

Animation : Ax=b with oo-many solutions that form a line in space.

Animation : Ax=b with a single solution

Animation : Ax=b with no solutions

Linear Algebra Software

Linear Algebra Toolkit

Fourier Methods

Partial Differential Equations

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