MATH-225 Differential Equations

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email : math225.field2008@gmail.com
 
email : math225.field2008@gmail.com
  
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==Course Calander ==
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==Course Calendar ==
 
Classes Begin : May 12th, 2008
 
Classes Begin : May 12th, 2008
  
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Classes End : June 19th, 2008
 
Classes End : June 19th, 2008
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==Office Hours ==
 
==Office Hours ==
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{{PDF Table Item|filename=Math225.fs2008.syllabus.pdf|title=MATH225 : Course Syllabus}}
 
{{PDF Table Item|filename=Math225.fs2008.syllabus.pdf|title=MATH225 : Course Syllabus}}
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===Laplace Transform Information ===
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{{PDF Table Item|filename=Math225.fs2008.LT.pdf|title=MATH225 : Laplace Transform Table}}
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[http://en.wikipedia.org/wiki/Laplace_transform Wikipedia]
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[http://mathworld.wolfram.com/LaplaceTransform.html Mathworld ]
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===Chapter 5 ===
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{{PDF Table Item|filename=5.1.all.pdf|title= Graphs from 5.1 example}}
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{{PDF Table Item|filename=5.center.all.pdf|title= Graphs from linearized center example}}
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{{PDF Table Item|filename=chaos.pdf|title= Fractal/Chaos Presentation}}
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[http://www.mines.edu/~sstrong/DiffEQ_Materials/chaos.mp4 - Lorenz System and its Strange Attractor - 1]
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[http://www.mines.edu/~sstrong/DiffEQ_Materials/lorenz(1).mp4 - Lorenz System and its Strange Attractor - 2]
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[http://www.mines.edu/~sstrong/DiffEQ_Materials/lorenz(2).mp4 - Lorenz System and its Strange Attractor - 3]
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[http://www.mines.edu/~sstrong/DiffEQ_Materials/lorenz(3).mp4 - Lorenz System and its Strange Attractor - 4]
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[http://www.mines.edu/~sstrong/DiffEQ_Materials/lorenz(4).mp4 - Lorenz System and its Strange Attractor - 5]
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{{Start PDF Table}}
 
{{Start PDF Table}}
 
{{PDF Table Item|filename=math225.field2008.hw1.pdf|title=Homework Assignment 1 - Note the integral for 2a should read <math>\int_{0}^{\infty}t^{3}e^{\beta t}e^{-st}dt</math>}}
 
{{PDF Table Item|filename=math225.field2008.hw1.pdf|title=Homework Assignment 1 - Note the integral for 2a should read <math>\int_{0}^{\infty}t^{3}e^{\beta t}e^{-st}dt</math>}}
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{{PDF Table Item|filename=math225.field2008.hw1.soln.pdf|title=Homework Assignment 1 - Solutions }}
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{{PDF Table Item|filename=math225.field2008.hw1.soln.pdf|title=Homework Assignment 1 - Solutions : Average - 87%, Median - 86% }}
 
{{PDF Table Item|filename=math225.field2008.hw2.pdf|title=Homework Assignment 2 - NOT COLLECTED }}
 
{{PDF Table Item|filename=math225.field2008.hw2.pdf|title=Homework Assignment 2 - NOT COLLECTED }}
 
{{PDF Table Item|filename=math225.field2008.hw2.soln.pdf|title=Homework Assignment 2 - Solutions }}
 
{{PDF Table Item|filename=math225.field2008.hw2.soln.pdf|title=Homework Assignment 2 - Solutions }}
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{{PDF Table Item|filename=math225.field2008.hw3.pdf|title=Homework Assignment 3 }}
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{{PDF Table Item|filename=math225.field2008.hw3.pdf|title=Homework Assignment 3 : Average - 92%, Median - 94%}}
 
{{PDF Table Item|filename=math225.field2008.hw3Soln.pdf|title=Homework Assignment 3 - Solutions }}
 
{{PDF Table Item|filename=math225.field2008.hw3Soln.pdf|title=Homework Assignment 3 - Solutions }}
 
{{PDF Table Item|filename=math225.field2008.hw4.pdf|title=Homework Assignment 4 - NOT COLLECTED }}
 
{{PDF Table Item|filename=math225.field2008.hw4.pdf|title=Homework Assignment 4 - NOT COLLECTED }}
 
{{PDF Table Item|filename=math225.field2008.hw4.soln.pdf|title=Homework Assignment 4 - Solutions }}
 
{{PDF Table Item|filename=math225.field2008.hw4.soln.pdf|title=Homework Assignment 4 - Solutions }}
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{{PDF Table Item|filename=math225.field2008.hw5.pdf|title=Homework Assignment 5 }}
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{{PDF Table Item|filename=math225.field2008.hw5a.pdf|title=Homework Assignment 5 }}
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{{PDF Table Item|filename=math225.field2008.hw5.soln.pdf|title=Homework Assignment 5 - Solutions : Average - 88%, Median - 88%}}
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{{PDF Table Item|filename=math225.field2008.hw6.pdf|title=Homework Assignment 6 }}
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{{PDF Table Item|filename=math225.field2008.hw6a.soln.pdf|title=Homework Assignment 6 - Solutions : Average - 93%, Median - 94% }}
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{{PDF Table Item|filename=math225.field2008.hw7.pdf|title=Homework Assignment 7 - NOT COLLECTED}}
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{{PDF Table Item|filename=math225.field2008.hw7a.soln.pdf|title=Homework Assignment 7 - Solutions }}
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{{PDF Table Item|filename=math225.field2008.hw8a.pdf|title=Homework Assignment 8 - Note a type was corrected in problem1.  }}
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{{PDF Table Item|filename=math225.field2008.hw8.soln.pdf|title=Homework Assignment 8 - Solutions: Average - 83%, Median - 84% }}
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{{PDF Table Item|filename=math225.field2008.hw9.pdf|title=Homework Assignment 9}}
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{{PDF Table Item|filename=math225.field2008.hw9.soln.pdf|title=Homework Assignment 9 - Solutions: Average - 93%, Median - 94% }}
  
 
==Quizzes==
 
==Quizzes==
 
{{PDF Table Item|filename=math225.field2008.q1.pdf|title=Quiz 1 }}
 
{{PDF Table Item|filename=math225.field2008.q1.pdf|title=Quiz 1 }}
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{{PDF Table Item|filename=math225.field2008.q1Soln.pdf|title=Quiz 1 - Solutions}}
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{{PDF Table Item|filename=math225.field2008.q1Soln.pdf|title=Quiz 1 - Solutions : Average - 64%, Median - 60%}}
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{{PDF Table Item|filename=math225.field2008.q2.pdf|title=Quiz 2 }}
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{{PDF Table Item|filename=math225.field2008.q2Soln.pdf|title=Quiz 2 - Solutions : Average - 65%, Median - 63% }}
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{{PDF Table Item|filename=math225.field2008.q3aSoln.pdf|title=Quiz 3 - Solutions : Average - 81%, Median - 85%}}
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{{PDF Table Item|filename=math225.field2008.q4.pdf|title=Quiz 4 }}
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{{PDF Table Item|filename=math225.field2008.q4Soln.pdf|title=Quiz 4 - Solutions  : Average - 91%, Median - 100%}}
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{{PDF Table Item|filename=math225.field2008.q5.pdf|title=Quiz 5}}
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{{PDF Table Item|filename=math225.field2008.q5Soln.pdf|title=Quiz 5 - Solutions : Average - 85%, Median - 87%}}
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{{PDF Table Item|filename=math225.field2008.q6.pdf|title=Quiz 6}}
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{{PDF Table Item|filename=math225.field2008.q6Soln.pdf|title=Quiz 6 - Solutions}}
  
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==Exams==
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{{PDF Table Item|filename=math225.field2008.e1.pdf|title=Exam 1 }}
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{{PDF Table Item|filename=math225.field2008.e1Soln.pdf|title=Exam 1 - Solutions : Average - 75%, Median - 78% }}
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{{PDF Table Item|filename=math225.field2008.e2.pdf|title=Exam 2 }}
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{{PDF Table Item|filename=math225.field2008.e2aSoln.pdf|title=Exam 2 - Solutions: Average - 88%, Median - 90%}}
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{{PDF Table Item|filename=math225.field2008.e3.pdf|title=Exam 3 }}
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{{PDF Table Item|filename=math225.field2008.e3Soln.pdf|title=Exam 3 - Solutions: Average - 78%, Median - 82%}}
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{{PDF Table Item|filename=math225.field2008.e4.pdf|title=Exam 4 }}
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{{PDF Table Item|filename=math225.field2008.e4Soln.pdf|title=Exam 4 - Solutions: Average - 63%, Median - 64%}}
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{{PDF Table Item|filename=math225.field2008.e5.pdf|title=Exam 5 }}
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{{PDF Table Item|filename=math225.field2008.e5Soln.pdf|title=Exam 5 - Solutions: Average - ?%, Median - ?%}}
 
{{End PDF Table}}
 
{{End PDF Table}}
  

Latest revision as of 07:07, 28 May 2009

Main Page > Mathematical and Computer Sciences Course Wikis

Contents

Course Information

MATH225:Differential Equations - Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase plane and stability analysis of non-linear equations and systems. Applications to physics, mechanics, electrical engineering, and environmental sciences.

Prerequisite: Instructor Consent. 3 hours lecture; 3 semester hours.

Instructor Information

Instructor : Scott Strong

Office : Chauvenet Hall 278

Office Phone : 303.384.2446

email : math225.field2008@gmail.com

Course Calendar

Classes Begin : May 12th, 2008

Meeting Days : Monday, Tuesday, Wednesday, Thursday

Meeting Time : 10:00am-11:45am

Meeting Location : Green Center 265

Important Dates : 

    May 16th, 2008 - Last day to add/drop without a W
    May 26th, 2008 - Memorial Day
    June 6th, 2008 - Last day to withdrawal

Classes End : June 19th, 2008

Office Hours

Fixed Office Hours : 

    Monday, Tuesday, Wednesday, Thursday --- 12:00pm-1:00pm


If you cannot meet during the previous office hours then please contact me to schedule another meeting time.

Textbook Information

    Textbook : Differential Equations - P. Blanchard, R. Devaney, and G. Hall, (PWS, Boston: 1996) ISBN 0-534-95004-3
    Second edition errata.
    Google Books Third Edition
    Textbook Website : The Boston University  - Ordinary Differential Equations Project 
    Publishers Website : Blanchard, Devaney, Hall Companion Site


Course Documents

Handouts

Pdf.png These downloads require Adobe Acrobat Reader Euler's Method for Excel
MATH225 : Sample Exam

A student asked me to post this so that you could get some idea of how I might phrase my questions. You shouldn't study this exam. These questions will not appear on your quiz or any exam I will give you. Merely use this to understand how I might ask/phrase questions.

Syllabus

MATH225 : Course Syllabus


Laplace Transform Information

MATH225 : Laplace Transform Table

Wikipedia

Mathworld

Chapter 5

Graphs from 5.1 example
Graphs from linearized center example
Fractal/Chaos Presentation

- Lorenz System and its Strange Attractor - 1

- Lorenz System and its Strange Attractor - 2

- Lorenz System and its Strange Attractor - 3

- Lorenz System and its Strange Attractor - 4

- Lorenz System and its Strange Attractor - 5


Assignments

Pdf.png These downloads require Adobe Acrobat Reader
Homework Assignment 1 - Note the integral for 2a should read \int_{0}^{\infty}t^{3}e^{\beta t}e^{-st}dt
Homework Assignment 1 - Solutions : Average - 87%, Median - 86%
Homework Assignment 2 - NOT COLLECTED
Homework Assignment 2 - Solutions
Homework Assignment 3 : Average - 92%, Median - 94%
Homework Assignment 3 - Solutions
Homework Assignment 4 - NOT COLLECTED
Homework Assignment 4 - Solutions
Homework Assignment 5
Homework Assignment 5 - Solutions : Average - 88%, Median - 88%
Homework Assignment 6
Homework Assignment 6 - Solutions : Average - 93%, Median - 94%
Homework Assignment 7 - NOT COLLECTED
Homework Assignment 7 - Solutions
Homework Assignment 8 - Note a type was corrected in problem1.
Homework Assignment 8 - Solutions: Average - 83%, Median - 84%
Homework Assignment 9
Homework Assignment 9 - Solutions: Average - 93%, Median - 94%

Quizzes

Quiz 1
Quiz 1 - Solutions : Average - 64%, Median - 60%
Quiz 2
Quiz 2 - Solutions : Average - 65%, Median - 63%
Quiz 3 - Solutions : Average - 81%, Median - 85%
Quiz 4
Quiz 4 - Solutions  : Average - 91%, Median - 100%
Quiz 5
Quiz 5 - Solutions : Average - 85%, Median - 87%
Quiz 6
Quiz 6 - Solutions

Exams

Exam 1
Exam 1 - Solutions : Average - 75%, Median - 78%
Exam 2
Exam 2 - Solutions: Average - 88%, Median - 90%
Exam 3
Exam 3 - Solutions: Average - 78%, Median - 82%
Exam 4
Exam 4 - Solutions: Average - 63%, Median - 64%
Exam 5
Exam 5 - Solutions: Average - ?%, Median - ?%

Material Ovierview

    Instructor's Online Manual Third Edition
    Instructor's Online Manual Second Edition


Course Links

    Dynamical System (overview)
    Dynamical System (mathematical formalism)
    Determinism
    Dynamical System
    Text Software : BDH
    BU DE Project : Animations
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