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Below are helpful links for the senior design project from Spring 2006:

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 : math225g.fall2008@gmail.com

Course Calander

Classes Begin : August 20th, 2008

Meeting Days : Monday, Wednesday, Friday

Meeting Time : 2:00pm-2:50pm

Meeting Location : Berthoud Hall 108

Important Dates :

    September 3rd, 2008 - Last day to add/drop without a W
    October 9th, 2008 - Exam I  
    October 13th to 14th, 2008 - Fall Break
    October 28th, 2008 - Last day to withdrawal 
    November 13th - Exam II
    November 26th to 28th - Thanksgiving Break

Classes End : December 4th, 2008

Office Hours

Fixed Office Hours :

    Tuesday and Thursday --- 1:00pm-3:00pm


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

Pdf.png These downloads require Adobe Acrobat Reader

Exam I

EXAM I - BB204A - 7:30pm-9:00pm. No Notecards No Calculators

    Exam I review problems.
    Chapter 1: pp. 138-143
    #21,23,25,27,29,31,33,35,37,39,43,49,53,56
    Chapter 2: pp.220-223
    #19-22,26(a)-(c),27(a)-(c),29
    Chapter 3: pp.370-374
    #19,21,27-32
Exam I - Review Problem Solutions
Exam I - Spring 2008
Exam I - Topic List
Chapter 3 - Phase Plane Review
Exam I Solutions

Exam II

EXAM II - BB204A - 7:30pm-9:00pm. No Notecards No Calculators

    Exam II review problems.
    Chap. 3: p.374 
    #23-25 
    Chap. 4: p.443-445 
    #2, 16, 18, 20, 21, 23, 24(a), 26(a) 
    Appendix B: p.742-743 
    #10 (a) Find the Recurrence Relation, (b) Find the power series solution and then use a known Taylor series to write y=f(t) 
    Chap. 6: p.621-623 
    #1, 8, 18, 19, 20, 21, 25, 29, 30

Handouts

MATH225.Fall2008.Review

Euler's Method for Excel

Series and Laplace Handout

Lecture Slides

Lecture02
Lecture02 - Graph: Linear Friction
Lecture02 - Graph: Nonlinear Friction
Lecture04 - Graph: Slope Fields 1
Lecture04 - Graph: Slope Fields 2
Lecture04 - Graph: Slope Fields 3
Lecture04 - Graph: Slope Fields 4
Lecture04 - Graph: Slope Fields 5
Lecture05 - Existence and Uniqueness
Lecture07 - Theory of Linear Equations
Lecture09 - Ideal Mixing
Lecture11 - Chapter 2 Slope Fields
Lecture18 - Chapter 3 Slope Fields

Syllabus

MATH225.Fall2008.Syllabus


Assignments

Homework 1 - Due: Wednesday, August 27th by 5:00pm
Homework 1 - Solutions
Homework 2 - Due: Wednesday, September 3rd by 5:00pm
Homework 2 - Solutions
Homework 3 - Due: Wednesday, September 10th by 5:00pm
Homework 3 - Solutions
Homework 4 - Due: Wednesday, September 17th by 5:00pm
Homework 4 - Solutions
Homework 5 - Due: Wednesday, October 1st by 5:00pm
Homework 5 - Solutions
Homework 6 - Due: Wednesday, October 8th by 5:00pm
Homework 6 - Solutions
Homework 7 - Due: Wednesday, October 29th by 5:00pm
Homework 8 - Due: Wednesday, November 5th by 5:00pm
Homework 9 - Due: Wednesday, November 12th by 5:00pm

Project One

Please choose only one project to do. Lab 1.3 has been done as an example.

Project 1 - Lab 1.3 - Example
Project 1 - Lab 1.3 - Example - Choice Three Calculations
Project 1 - Lab 1.1 - Problem Sheet
Project 1 - Lab 1.4 - Problem Sheet
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