MATH332 Linear Algebra

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=Course Information=
 
=Course Information=
  
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Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields.
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MATH332: Linear Algebra - Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields.
 
Prerequisite: MATH 213, 223 or 224.
 
Prerequisite: MATH 213, 223 or 224.
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3 hours lecture; 3 semester hours. .
 
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==Course Calendar==
 
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[http://www.google.com/calendar/embed?src=retasd1tmvosjsek0o0avfd6ds%40group.calendar.google.com&ctz=America/Denver  Advanced Engineering Mathematics Calendar]
 
  
 
==Instructor Information ==
 
==Instructor Information ==
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Office Phone : 303.384.2446
 
Office Phone : 303.384.2446
  
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email : math348@gmail.com
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email : math332.summer2010@gmail.com
  
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Office Hours :
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==Course Calendar ==
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Classes Begin : June 28th, 2010
  
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==Textbook Information==
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Meeting Days : Monday, Tuesday, Wednesday, Thursday
  
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The bookstore sells an abridged version of the following text. The abridged version contains the seven chapters and an appendix:
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Course Sections :  
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    Section A,  3:00pm-4:20pm, Green Center 249
  
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1. Chapter 5: Power Series Solutions to ODE and [http://en.wikipedia.org/wiki/Frobenius_method Frobenius method]
 
  
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2. Chapter 7: [http://en.wikipedia.org/wiki/Linear_algebra Systems of Linear Algebraic Equations]
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Classes End : August 19th, 2009
  
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3. Chapter 8: [http://en.wikipedia.org/wiki/Eigenvalue,_eigenvector_and_eigenspace Eigenvalues and Eigenvectors]
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Important Dates :
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    July 5th - No Class
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    July  6th - Last Day to Withdrawal  (Without a W)
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    August 6th - Last Day to Withdrawal
  
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4. Chapter 11: [http://en.wikipedia.org/wiki/Fourier_series Fourier Series]
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==Office Hours ==
  
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5. Chapter 12: Introduction to Linear [http://en.wikipedia.org/wiki/Partial_differential_equation Partial Differential Equations]
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Fixed Office Hours :
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  MTWR : 12:30pm-1:30pm
  
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6. Chapter 20: Numerical Methods in Linear Algebra
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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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7. Chapter 21: Numerical Methods in Differential Equations
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==Textbook Information==
  
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8. Appendix A:  
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    Textbook : [http://wps.aw.com/aw_lay_linearalg_updated_3/ Linear Algebra - David Lay, ISBN 0201824787]
  
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While this will meet out needs, if you plan to continue in mathematics for a minor or area of special interest or seek an advanced degree in your field then you are advised to get the unabridged edition. Older editions are fine and relatively cheap from online retailers.
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=Course Documents=
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{{Start PDF Table}}
  
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    Textbook : [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471488852.html Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9]
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==Syllabus ==
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    9th Edition Amazon : [http://www.amazon.com/Advanced-Engineering-Mathematics-Textbook-Solutions/dp/0470084847/ref=sr_1_4?ie=UTF8&s=books&qid=1231462860&sr=1-4 Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9]
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{{PDF Table Item|filename=Math332_syllabus.summer2010.pdf | title=MATH332.Summer2010.Syllabus}}
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    8th Edition Amazon (Used) : [http://www.amazon.com/gp/offer-listing/0471154962/ref=dp_olp_1 Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9]
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=Course Materials=
 
  
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The following outlines materials specific to this course. The materials, as indicated, have been developed over time and have achieved a steady-state. An archive of [[MATH-348 Advanced Engineering Mathematics - Archive | older ticc pages ]] is available. There is also a binder available in the library of practically everything ever done since Fall 2006. The ticc websites pick up at Spring 2008 when I started presenting linear algebra first. 
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==Handouts==
  
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==Syllabus==
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{{PDF Table Item|filename=Math332_LAReview.summer2009.pdf|title= Linear Algebra Basics}}
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{{PDF Table Item|filename=Math348syllabus.pdf | title=MATH348.Syllabus}}
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{{PDF Table Item|filename=Math332_planes.summer2009.pdf|title= Three Planes in Space}}
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{{PDF Table Item|filename=Math332_LSP1.summer2009.pdf|title= Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln}}
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{{PDF Table Item|filename=Math332_LSP2.summer2009.pdf|title= Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln}}
  
 
==Lecture Slides==
 
==Lecture Slides==
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{{PDF Table Item|filename=Math332_Section1_1e.summer2009.pdf|title= Section 1.1}}
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There are various lecture slides associated with the course. They were developed during the Spring of 2010 and are intended to deliver important bulk concepts while avoiding the desire to write down 'every little thing.' Specifically, the slides address:
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{{PDF Table Item|filename=Math332_Section1_2e.summer2009.pdf|title= Section 1.2}}
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{{PDF Table Item|filename=Math332_Section1_3.summer2009.pdf|title= Section 1.3}}
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1. Definitions that are not useful for me to write and students to rewrite during lecture.
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{{PDF Table Item|filename=Math332_Section1_4a.summer2009.pdf|title= Section 1.4}}
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{{PDF Table Item|filename=Math332_Section1_5.summer2009.pdf|title= Section 1.5}}
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2. Derivations that will never need to be reproduced but need to be communicated quickly because they lead to important consequences.
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{{PDF Table Item|filename=Math332_Section1_7.summer2009.pdf|title= Section 1.7}},
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{{PDF Table Item|filename=Math332_Section1_8.summer2009.pdf|title= Section 1.8}}
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3. Derivations that will need to be reproduced and have been recorded for clarity.  
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{{PDF Table Item|filename=Math332_Section2_1.summer2009.pdf|title= Section 2.1}}
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{{PDF Table Item|filename=Math332_Section2_2.summer2009.pdf|title= Section 2.2}}
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Listed in each slide set are:
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{{PDF Table Item|filename=Math332_Section2_3.summer2009.pdf|title= Section 2.3}}
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{{PDF Table Item|filename=Math332_Section2_4.summer2009.pdf|title= Section 2.4}}
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    Associated Section/Pages from EK.AEM
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{{PDF Table Item|filename=Math332_Section2_5.summer2009.pdf|title= Section 2.5}}
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    Associated Lecture Notes
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{{PDF Table Item|filename=Math332_Section3_1.summer2009.pdf|title= Section 3.1}}
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    Associated Homework Assignments
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{{PDF Table Item|filename=Math332_Section3_2.summer2009.pdf|title= Section 3.2}}
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{{PDF Table Item|filename=Math332_Section3_3.summer2009.pdf|title= Section 3.3}}
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*[[MATH-348 Advanced Engineering Mathematics - Lecture Slides |MATH 348 : Advanced Engineering Mathematics - Lecture Slides ]]
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{{PDF Table Item|filename=Math332_Section4_1.summer2009.pdf|title= Section 4.1}}
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{{PDF Table Item|filename=Math332_Section4_2.summer2009.pdf|title= Section 4.2}}
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==Lecture Notes==
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{{PDF Table Item|filename=Math332_Section4_3.summer2009.pdf|title= Section 4.3}}
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{{PDF Table Item|filename=Math332_Section4_4.summer2009.pdf|title= Section 4.4}}
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There is a set of lecture notes associated with the course. They were developed during the Fall of 2008 through the Spring of 2009 and are intended to outline key-points, objectives and goals from the text in the order we cover them. Listed in each set are:
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{{PDF Table Item|filename=Math332_Section4_5.summer2009.pdf|title= Section 4.5}}
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{{PDF Table Item|filename=Math332_Section4_6.summer2009.pdf|title= Section 4.6}}
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    Associated Sections/Pages from EK.AEM
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{{PDF Table Item|filename=Math332_Section5_1.summer2009.pdf|title= Section 5.1}}
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    Suggested Problems from EK.AEM
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{{PDF Table Item|filename=Math332_Section5_2.summer2009.pdf|title= Section 5.2}}
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    Brief Outline of Lecture Talking Points
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{{PDF Table Item|filename=Math332_Section5_3.summer2009.pdf|title= Section 5.3}}
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    Lecture Objectives
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{{PDF Table Item|filename=Math332_Section5_5.summer2009.pdf|title= Section 5.5}}
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    Lecture Goals 
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{{PDF Table Item|filename=Math332_Section5_7.summer2009.pdf|title= Section 5.7}}
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{{PDF Table Item|filename=Math332_Section4_9.summer2009.pdf|title= Section 4.9}}
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*[[MATH-348 Advanced Engineering Mathematics - Lecture Notes |MATH 348 : Advanced Engineering Mathematics - Lecture Notes ]]
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{{PDF Table Item|filename=Math332_Section6_1.summer2009.pdf|title= Section 6.1}}
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{{PDF Table Item|filename=Math332_Section6_2.summer2009.pdf|title= Section 6.2}}
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{{PDF Table Item|filename=Math332_Section6_3.summer2009.pdf|title= Section 6.3}}
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{{PDF Table Item|filename=Math332_Section6_4.summer2009.pdf|title= Section 6.4}}
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{{PDF Table Item|filename=Math332_Section6_5.summer2009.pdf|title= Section 6.5}}
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{{PDF Table Item|filename=Math332_LSP1.summer2009.pdf|title= Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln}}
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{{PDF Table Item|filename=Math332_LSP2.summer2009.pdf|title= Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln}}
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{{PDF Table Item|filename=Math332_Section7.1.summer2009.pdf|title= Section 7.1}}
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{{PDF Table Item|filename=Math332_Section7_4.summer2009.pdf|title= Section 7.4}}
  
 
==Assignments==
 
==Assignments==
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{{PDF Table Item|filename=Math332_hw1.summer2009.pdf|title=MATH332.Summer2009.Homework1}}
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{{PDF Table Item|filename=Math332_hw1.soln.summer2009.pdf|title=MATH332.Summer2009.Homework1 - Solutions}}
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{{PDF Table Item|filename=Math332_hw2.summer2009.pdf|title=MATH332.Summer2009.Homework2}}
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{{PDF Table Item|filename=Math332_hw2.soln1.summer2009.pdf|title=MATH332.Summer2009.Homework2 - Solution #1}}
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{{PDF Table Item|filename=Math332_hw2.soln2.summer2009.pdf|title=MATH332.Summer2009.Homework2 - Solutions #2-#5}}
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{{PDF Table Item|filename=Math332_hw3.summer2009.pdf|title=MATH332.Summer2009.Homework3}}
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{{PDF Table Item|filename=Math332_hw3.soln.summer2009.pdf|title=MATH332.Summer2009.Homework3 - Solutions}}
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{{PDF Table Item|filename=Math332_hw4.summer2009.pdf|title=MATH332.Summer2009.Homework4}}
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{{PDF Table Item|filename=Math332_hw4.soln.summer2009.pdf|title=MATH332.Summer2009.Homework4 - Solutions}}
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{{PDF Table Item|filename=Math332_hw5.summer2009.pdf|title=MATH332.Summer2009.Homework5}}
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{{PDF Table Item|filename=Math332_hw5.soln.summer2009.pdf|title=MATH332.Summer2009.Homework5 - Solutions}}
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{{PDF Table Item|filename=Math332_hw6a.summer2009.pdf|title=MATH332.Summer2009.Homework6 - Typo in problem 5 corrected.}}
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{{PDF Table Item|filename=Math332_hw6.soln.summer2009.pdf|title=MATH332.Summer2009.Homework6 - Solutions}}
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{{PDF Table Item|filename=Math332_hw7.summer2009.pdf|title=MATH332.Summer2009.Homework7}}
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{{PDF Table Item|filename=Math332_hw7.soln.summer2009.pdf|title=MATH332.Summer2009.Homework7 - Solutions}}
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{{PDF Table Item|filename=Math332_hw8.summer2009.pdf|title=MATH332.Summer2009.Homework8}}
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{{PDF Table Item|filename=Math332_hw8a.soln.summer2009.pdf|title=MATH332.Summer2009.Homework8 - Solutions}}
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{{PDF Table Item|filename=Math332_hw9.summer2009.pdf|title=MATH332.Summer2009.Homework9 - Extra Credit}}
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{{PDF Table Item|filename=Math332_hw9a.soln.summer2009.pdf|title=MATH332.Summer2009.Homework9 - Solutions}}
  
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The assignments for this course have reached a steady-state. Consequently, solutions are often available through students who have taken the course in the past. Since these resources might not be available to all students, I have drafted a set of solutions to these homework assignments which I make available through this site. These solutions were, more or less, finalized during the Spring of 2010 and represents the end of an evolution starting around 2006. Outside of the lecture itself, these homeworks and solutions represents some of the oldest parts of the course and many of the ancestors can be found on [[MATH-348 Advanced Engineering Mathematics - Archive | older ticc pages ]].
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==Exams ==
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In the past the homeworks tended to have a good deal of discussion providing context to a problem so that both the mechanics and concepts could be gleaned. However, after talking with some students and course reviews I decided to move the commentary to the solutions in favor of a more streamlined problem statement. It is unclear whether this latest incarnation is 'better' than the past but what is clear is that they won't be regressing unless someone else wants to revamp them. If you want to see the previous versions then visit the [[MATH-348 Advanced Engineering Mathematics - Archive | older ticc pages ]]. If you find any typos in these solutions then I would appreciate you letting me know. They are pretty clean but they could always be `cleaner.'
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With that said, I must make emphasize the following point:
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      Caveat Emptor : We will work from these problems and since solutions are
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      readily available it is up to the individual user to make sure that they
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      are LEARNING the material. If you buy into a program of procrastination
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      followed by rapid and thoughtless recreation then you may find an
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      inadequate product, which cannot be returned.
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*[[MATH-348 Advanced Engineering Mathematics - Assignments |MATH 348 : Advanced Engineering Mathematics - Assignments ]]
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==Exams==
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*[[MATH-348 Advanced Engineering Mathematics - Exams |MATH 348 : Advanced Engineering Mathematics - Exams ]]
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===Exam I===
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===Exam II===
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===Final Exam===
  
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=Supplemental Materials=
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==Course Links==
  
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*[[MATH-348 Advanced Engineering Mathematics - Supplemental  |MATH 348 : Advanced Engineering Mathematics - Supplemental Materials ]]
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===Matrix Algebra===
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*[[MATH-348 Advanced Engineering Mathematics - Archive |MATH 348 : Advanced Engineering Mathematics - Archive ]]
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    [http://www.purplemath.com/modules/mtrxmult.htm Scalar and Matrix Multiplication with Animations]
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    [http://www.mathresource.iitb.ac.in/linear%20algebra/example2.0.2/index.html Animated Matrix Multiplication]
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    [http://www.sci.wsu.edu/math/faculty/genz/220v/lessons/kentler/FullMult/fullMatrixMultiply.html Animated Matrix Multiplication]
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===Computational Tools===
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    [http://eigenmath.net/ Free Mathematica Like Program for Windows and Mac]
 +
    [http://eigenmath.net/Eigenmath.pdf Eigenmath Manual]

Revision as of 00:02, 26 June 2010

Main Page > Mathematical and Computer Sciences Course Wikis

Contents

Course Information

MATH332: Linear Algebra - Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH 213, 223 or 224.

Instructor Information

Instructor : Scott Strong

Office : Chauvenet Hall 266

Office Phone : 303.384.2446

email : math332.summer2010@gmail.com

Course Calendar

Classes Begin : June 28th, 2010

Meeting Days : Monday, Tuesday, Wednesday, Thursday

Course Sections : 

    Section A,  3:00pm-4:20pm, Green Center 249


Classes End : August 19th, 2009

Important Dates : 

   July 5th - No Class 
   July  6th - Last Day to Withdrawal  (Without a W)
   August 6th - Last Day to Withdrawal

Office Hours

Fixed Office Hours : 

 MTWR : 12:30pm-1:30pm

If you cannot meet during the previous office hours then please contact me to schedule another meeting time.

Textbook Information

    Textbook : Linear Algebra - David Lay, ISBN 0201824787

Course Documents

Pdf.png These downloads require Adobe Acrobat Reader

Syllabus

MATH332.Summer2010.Syllabus


Handouts

Linear Algebra Basics
Three Planes in Space
Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln
Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln

Lecture Slides

Section 1.1
Section 1.2
Section 1.3
Section 1.4
Section 1.5
Section 1.7,
Section 1.8
Section 2.1
Section 2.2
Section 2.3
Section 2.4
Section 2.5
Section 3.1
Section 3.2
Section 3.3
Section 4.1
Section 4.2
Section 4.3
Section 4.4
Section 4.5
Section 4.6
Section 5.1
Section 5.2
Section 5.3
Section 5.5
Section 5.7
Section 4.9
Section 6.1
Section 6.2
Section 6.3
Section 6.4
Section 6.5
Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln
Section 6.5.1 - Graph of Least Squares Problem from Class - The Blue Line is the LSP Soln
Section 7.1
Section 7.4

Assignments

MATH332.Summer2009.Homework1
MATH332.Summer2009.Homework1 - Solutions
MATH332.Summer2009.Homework2
MATH332.Summer2009.Homework2 - Solution #1
MATH332.Summer2009.Homework2 - Solutions #2-#5
MATH332.Summer2009.Homework3
MATH332.Summer2009.Homework3 - Solutions
MATH332.Summer2009.Homework4
MATH332.Summer2009.Homework4 - Solutions
MATH332.Summer2009.Homework5
MATH332.Summer2009.Homework5 - Solutions
MATH332.Summer2009.Homework6 - Typo in problem 5 corrected.
MATH332.Summer2009.Homework6 - Solutions
MATH332.Summer2009.Homework7
MATH332.Summer2009.Homework7 - Solutions
MATH332.Summer2009.Homework8
MATH332.Summer2009.Homework8 - Solutions
MATH332.Summer2009.Homework9 - Extra Credit
MATH332.Summer2009.Homework9 - Solutions

Exams

Exam I

Exam II

Final Exam

Course Links

Matrix Algebra

   Scalar and Matrix Multiplication with Animations
   Animated Matrix Multiplication
   Animated Matrix Multiplication

Computational Tools

   Free Mathematica Like Program for Windows and Mac
   Eigenmath Manual
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