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
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
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Exam I - Spring 2008
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Exam I - Topic List
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Chapter 3 - Phase Plane Review
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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
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Exam II - Review Problem Solutions
Handouts
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MATH225.Fall2008.Review
Euler's Method for Excel
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Series and Laplace Handout
Lecture Slides
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Lecture02
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Lecture02 - Graph: Linear Friction
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Lecture02 - Graph: Nonlinear Friction
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Lecture04 - Graph: Slope Fields 1
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Lecture04 - Graph: Slope Fields 2
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Lecture04 - Graph: Slope Fields 3
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Lecture04 - Graph: Slope Fields 4
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Lecture04 - Graph: Slope Fields 5
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Lecture05 - Existence and Uniqueness
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Lecture07 - Theory of Linear Equations
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Lecture09 - Ideal Mixing
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Lecture11 - Chapter 2 Slope Fields
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Lecture18 - Chapter 3 Slope Fields
Syllabus
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MATH225.Fall2008.Syllabus
Assignments
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Homework 1 - Due: Wednesday, August 27th by 5:00pm
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Homework 1 - Solutions
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Homework 2 - Due: Wednesday, September 3rd by 5:00pm
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Homework 2 - Solutions
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Homework 3 - Due: Wednesday, September 10th by 5:00pm
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Homework 3 - Solutions
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Homework 4 - Due: Wednesday, September 17th by 5:00pm
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Homework 4 - Solutions
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Homework 5 - Due: Wednesday, October 1st by 5:00pm
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Homework 5 - Solutions
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Homework 6 - Due: Wednesday, October 8th by 5:00pm
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Homework 6 - Solutions
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Homework 7 - Due: Wednesday, October 29th by 5:00pm
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Homework 7 - Solutions
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Homework 8 - Due: Wednesday, November 5th by 5:00pm
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Homework 8 - Solutions
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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.
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Project 1 - Lab 1.3 - Example
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Project 1 - Lab 1.3 - Example - Choice Three Calculations
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Project 1 - Lab 1.1 - Problem Sheet
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Project 1 - Lab 1.4 - Problem Sheet
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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