MATH348 Advanced Engineering Mathematics
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Course InformationMATH348: 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. Course CalendarAdvanced Engineering Mathematics Calendar Instructor InformationInstructor : Scott Strong Office : Chauvenet Hall 266 Office Phone : 303.384.2446 email : math348@gmail.com Office Hours : Textbook InformationThe bookstore sells an abridged version of the following text. The abridged version contains the seven chapters and an appendix: 1. Chapter 5: 2. Chapter 7: 3. Chapter 8: 4. Chapter 11: 5. Chapter 12: 6. Chapter 20: 7. Chapter 21: 8. Appendix A: 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. Textbook : Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9 9th Edition Amazon : Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9 8th Edition Amazon (Used) : Advanced Engineering Mathematics - Erwin Kreyszig, ISBN 978-0-471-48885-9 Course MaterialsThe 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 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. SyllabusMATH348.Syllabus
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Lecture SlidesThere 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 need to write down 'every little thing.' Specifically, the slides address: 1. Definitions that are not useful for me to write and students to rewrite during lecture. 2. Derivations that will never need to be reproduced but need to be communicated quickly because they lead to important consequences. 3. Derivations that will need to be reproduced and have been recorded for clarity. Listed in each slide set are: Associated Section/Pages from EK.AEM Associated Lecture Notes Associated Homework Assignments Lecture NotesThere 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: Associated Sections/Pages from EK.AEM Suggested Problems from EK.AEM Brief Outline of Lecture Talking Points Lecture Objectives Lecture Goals AssignmentsThe 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 older ticc pages . 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 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.' With that said, I must make emphasize the following point: Caveat Emptor : We will work from these problems and since solutions are
readily available it is up to the individual user to make sure that they
are LEARNING the material. If you buy into a program of procrastination
followed by rapid and thoughtless recreation then you may find an
inadequate product, which cannot be returned.
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