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(New page: Below are helpful links for the senior design project from Spring 2006:)
 
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Below are helpful links for the senior design project from Spring 2006:
 
Below are helpful links for the senior design project from Spring 2006:
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{{Start Hierarchy|link=Main Page|title=Main Page}}
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{{Hierarchy Item|link=Mathematics_Course_Wikis|title=Mathematical and Computer Sciences Course Wikis}}
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{{End Hierarchy}}
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=Course Information=
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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.
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Prerequisite: Instructor Consent. 3 hours lecture; 3 semester hours.
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==Instructor Information ==
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Instructor : [http://www.mines.edu/~sstrong Scott Strong]
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Office : [http://www.mines.edu/csm_maps/buildings/ChauvenetHall/ Chauvenet Hall 278]
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Office Phone : 303.384.2446
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email : math225g.fall2008@gmail.com
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==Course Calander ==
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Classes Begin : August 20th, 2008
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Meeting Days : Monday, Wednesday, Friday
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Meeting Time : 2:00pm-2:50pm
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Meeting Location : Berthoud Hall 108
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Important Dates :
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    September 3rd, 2008 - Last day to add/drop without a W
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    October 9th, 2008 - Exam I 
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    October 13th to 14th, 2008 - Fall Break
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    October 28th, 2008 - Last day to withdrawal
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    November 13th - Exam II
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    November 26th to 28th - Thanksgiving Break
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Classes End : December 4th, 2008
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==Office Hours ==
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Fixed Office Hours :
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    Tuesday and Thursday --- 1:00pm-3:00pm
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If you cannot meet during the previous office hours then please contact me to schedule another meeting time. 
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==Textbook Information==
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    Textbook : [http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&flag=student&product_isbn_issn=9780495012658&disciplinenumber=1 Differential Equations - P. Blanchard, R. Devaney, and G. Hall, (PWS, Boston: 1996) ISBN 0-534-95004-3]
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    Second edition [http://math.bu.edu/odes/errors-sed.html errata].
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    Google Books [http://books.google.com/books?id=mwxX2pv9UvYC&dq=blanchard+devaney+hall+differential+equations&printsec=frontcover&source=web&ots=moLfLvNROT&sig=y9hnpfDu322lCZHLcoMPyJh1WoA#PPR16,M1 Third Edition]
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    Textbook Website : [http://math.bu.edu/odes/ The Boston University  - Ordinary Differential Equations Project]
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    Publishers Website : [http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&flag=student&product_isbn_issn=9780495012658&disciplinenumber=1  Blanchard, Devaney, Hall Companion Site]
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=Course Documents=
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{{Start PDF Table}}
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==Exam I==
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EXAM I - BB204A - 7:30pm-9:00pm.
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No Notecards
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No Calculators
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    Exam I review problems.
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    Chapter 1: pp. 138-143
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    #21,23,25,27,29,31,33,35,37,39,43,49,53,56
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    Chapter 2: pp.220-223
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    #19-22,26(a)-(c),27(a)-(c),29
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    Chapter 3: pp.370-374
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    #19,21,27-32
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    {{PDF Table Item|filename=Math225_Review1.fall2008.pdf|title=Exam I  - Review Problem Solutions}}
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{{PDF Table Item|filename=Math225_EX1.sp08.fall2008.pdf|title=Exam I  - Spring 2008}}
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{{PDF Table Item|filename=Math225.reviewList.fall2008.pdf|title=Exam I  - Topic List}}
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{{PDF Table Item|filename=Math225.C3.fall2008.pdf|title=Chapter 3 - Phase Plane Review}}
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{{PDF Table Item|filename=Math225.EISoln.fall2008.pdf|title=Exam I Solutions}}
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==Exam II==
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EXAM II - BB204A - 7:30pm-9:00pm.
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No Notecards
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No Calculators
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    Exam II review problems.
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    Chap. 3: p.374
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    #23-25
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    Chap. 4: p.443-445
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    #2, 16, 18, 20, 21, 23, 24(a), 26(a)
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    Appendix B: p.742-743
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    #10 (a) Find the Recurrence Relation, (b) Find the power series solution and then use a known Taylor series to write y=f(t)
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    Chap. 6: p.621-623
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    #1, 8, 18, 19, 20, 21, 25, 29, 30
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==Handouts==
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{{PDF Table Item|filename=ReviewHandout.fall2008.pdf|title=MATH225.Fall2008.Review}}
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[http://www.mines.edu/~sstrong/DiffEQ_Materials/EulersMethod.xls Euler's Method for Excel]
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{{PDF Table Item|filename=LaplaceTransforms.fall2008.pdf|title=Series and Laplace Handout}}
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==Lecture Slides ==
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{{PDF Table Item|filename=Math225_L02a.fall2008.pdf|title=Lecture02}}
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{{PDF Table Item|filename=Math225_L02.graph01.fall2008.pdf|title=Lecture02 - Graph: Linear Friction}}
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{{PDF Table Item|filename=Math225_L02.graph02.fall2008.pdf|title=Lecture02 - Graph: Nonlinear Friction}}
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{{PDF Table Item|filename=Math225_L04.graph01.fall2008.pdf|title=Lecture04 - Graph: Slope Fields 1}}
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{{PDF Table Item|filename=Math225_L04.graph02.fall2008.pdf|title=Lecture04 - Graph: Slope Fields 2}}
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{{PDF Table Item|filename=Math225_L04.graph03.fall2008.pdf|title=Lecture04 - Graph: Slope Fields 3}}
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{{PDF Table Item|filename=Math225_L04.graph04.fall2008.pdf|title=Lecture04 - Graph: Slope Fields 4}}
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{{PDF Table Item|filename=Math225_L04.graph05.fall2008.pdf|title=Lecture04 - Graph: Slope Fields 5}}
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{{PDF Table Item|filename=Math225_L05.EandU.fall2008.pdf|title=Lecture05 - Existence and Uniqueness}}
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{{PDF Table Item|filename=Math225_L07.Linearity.fall2008.pdf|title=Lecture07 - Theory of Linear Equations}}
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{{PDF Table Item|filename=Math225_L09.Tank.fall2008.pdf|title=Lecture09 - Ideal Mixing}}
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{{PDF Table Item|filename=Math225_L11.SF.fall2008.pdf|title=Lecture11 - Chapter 2 Slope Fields}}
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{{PDF Table Item|filename=Math225_L18.SF.fall2008.pdf|title=Lecture18 - Chapter 3 Slope Fields}}
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==Syllabus ==
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{{PDF Table Item|filename=Math225_syllabus.fall2008.pdf|title=MATH225.Fall2008.Syllabus}}
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==Assignments==
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{{PDF Table Item|filename=Math225_hw1.fall2008.pdf|title=Homework 1 - Due: Wednesday, August 27th by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw1.soln.fall2008.pdf|title=Homework 1 - Solutions}}
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{{PDF Table Item|filename=Math225_hw2.fall2008.pdf|title=Homework 2 - Due: Wednesday, September 3rd by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw2.soln.fall2008.pdf|title=Homework 2 - Solutions}}
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{{PDF Table Item|filename=Math225_hw3.fall2008.pdf|title=Homework 3 - Due: Wednesday, September 10th by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw3.soln.fall2008.pdf|title=Homework 3 - Solutions}}
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{{PDF Table Item|filename=Math225_hw4.fall2008.pdf|title=Homework 4 - Due: Wednesday, September 17th by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw4.soln.fall2008.pdf|title=Homework 4 - Solutions}}
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{{PDF Table Item|filename=Math225_hw5.fall2008.pdf|title=Homework 5 - Due: Wednesday, October 1st by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw5.soln.fall2008.pdf|title=Homework 5 - Solutions}}
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{{PDF Table Item|filename=Math225_hw6.fall2008.pdf|title=Homework 6 - Due: Wednesday, October 8th by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw6.soln.fall2008.pdf|title=Homework 6 - Solutions}}
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{{PDF Table Item|filename=Math225_hw7.fall2008.pdf|title=Homework 7 - Due: Wednesday, October 29th by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw8.fall2008.pdf|title=Homework 8 - Due: Wednesday, November 5th by 5:00pm}}
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{{PDF Table Item|filename=Math225_hw9.fall2008.pdf|title=Homework 9 - Due: Wednesday, November 12th by 5:00pm}}
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==Project One==
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Please choose only one project to do.  Lab 1.3 has been done as an example.
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{{PDF Table Item|filename=Math225.lab1.3.fall2008.pdf|title=Project 1  - Lab 1.3 - Example}}
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{{PDF Table Item|filename=Math225.lab1.3.case3.fall2008.pdf|title=Project 1  - Lab 1.3 - Example - Choice Three Calculations }}
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{{PDF Table Item|filename=Math225.lab1.1a.fall2008.pdf|title=Project 1  - Lab 1.1 - Problem Sheet}}
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{{PDF Table Item|filename=Math225.lab1.4c.fall2008.pdf|title=Project 1  - Lab 1.4 - Problem Sheet}}
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{{End PDF Table}}

Revision as of 00:10, 6 November 2008

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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