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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: |
| {{Start Hierarchy|link=Main Page|title=Main Page}} | | {{Start Hierarchy|link=Main Page|title=Main Page}} |
− | {{Hierarchy Item|link=Mathematics_Course_Wikis|title=Mathematical and Computer Sciences Course Wikis}}
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| {{End Hierarchy}} | | {{End Hierarchy}} |
− | =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.
| + | ==Senior Design Project == |
| + | Senior design project looking at waste stream renovation for the campus. Spring,2006 |
| + | {{PDF|filename=CSM Recycling Team Final.pdf|title=CSM Senior Design Presentation}} |
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− | Prerequisite: Instructor Consent. 3 hours lecture; 3 semester hours.
| + | ==Contact == |
− | | + | Akira Rattenbury arattenb@mines.edu |
− | ==Instructor Information == | + | |
− | 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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− |
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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}}
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Senior design project looking at waste stream renovation for the campus. Spring,2006