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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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| − | {{Start PDF Table}}
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| − | =Course Information=
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| − | MATH348: Advanced Engineering Mathematics - Introduction to partial differential equations, with applications to physical phenomena. Fourier series. Linear algebra, with emphasis on sets of simultaneous equations. Prerequisite: MATH 225 or equivalent.
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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]
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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 266]
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| − | Office Phone : 303.384.2446
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| − | email : math348@gmail.com
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| − | Office Hours :
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| − | ==Textbook Information==
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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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| − | 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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| − | 3. Chapter 8: [http://en.wikipedia.org/wiki/Eigenvalue,_eigenvector_and_eigenspace Eigenvalues and Eigenvectors]
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| − | 4. Chapter 11: [http://en.wikipedia.org/wiki/Fourier_series Fourier Series]
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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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| − | 6. Chapter 20: Numerical Methods in Linear Algebra
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| − | 7. Chapter 21: Numerical Methods in Differential Equations
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| − | 8. Appendix A:
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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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| − | 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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| − | 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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| − | 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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| − | ==Syllabus==
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| − | {{PDF Table Item|filename=Math348syllabus.pdf | title=MATH348.Syllabus}}
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| − | ==Lecture Slides==
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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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| − | 1. Definitions that are not useful for me to write and students to rewrite during lecture.
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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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| − | 3. Derivations that will need to be reproduced and have been recorded for clarity.
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| − | Listed in each slide set are:
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| − | Associated Section/Pages from EK.AEM
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| − | Associated Lecture Notes
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| − | Associated Homework Assignments
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| − | *[[MATH-348 Advanced Engineering Mathematics - Lecture Slides |MATH 348 : Advanced Engineering Mathematics - Lecture Slides ]]
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| − | ==Lecture Notes==
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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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| − | Associated Sections/Pages from EK.AEM
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| − | Suggested Problems from EK.AEM
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| − | Brief Outline of Lecture Talking Points
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| − | Lecture Objectives
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| − | Lecture Goals
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| − | *[[MATH-348 Advanced Engineering Mathematics - Lecture Notes |MATH 348 : Advanced Engineering Mathematics - Lecture Notes ]]
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| − | ==Assignments==
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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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| − | 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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| − | =Supplemental Materials=
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| − | *[[MATH-348 Advanced Engineering Mathematics - Supplemental |MATH 348 : Advanced Engineering Mathematics - Supplemental Materials ]]
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| − | *[[MATH-348 Advanced Engineering Mathematics - Archive |MATH 348 : Advanced Engineering Mathematics - Archive ]]
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