MATH-225 Differential Equations

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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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