MTH 360 Linear Algebra Syllabus April 2013

MTH 360 Linear Algebra Syllabus April 2013 - McKendree...

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McKendree University April 2013 Session Mathematics 360 – Linear Algebra (3 hours) Schedule/Location : 1800 – 2130, 1 – 26 April 2012. Education Center (Building 1650), Scott Air Force Base, IL, Room 93. Instructor : Dr. Joe W. Knickmeyer Phone: (618) 416-3013 E-Mail: [email protected] or [email protected] Text : Jim DeFranza and Dan Gagliardi, Introduction to Linear Algebra with Applications , 1 st Edition, McGraw-Hill Companies, 2009, ISBN 978-0-07-353235-6. Course Description : From the University Catalog: An introduction to the techniques of linear algebra. Topics include vector spaces, linear independence, basis, dimension, linear transformations, eigenvalues, and eigenvectors. Prerequisite : You must have taken MTH 300 (Transition to Advanced Mathematics) or an equivalent course, or secure permission of the instructor. Equipment : A scientific calculator will come in handy, as will access to a personal computer with MicroSoft Excel or OpenOffice Calc (the latter is open source software and free for downloading, and has all the functionality we shall need). Additional Detail on Course Content : A mathematician’s joke: Q: “What is the physicist’s definition of a vector space?” A: “A set V such that if v is in V , then v has a little arrow drawn over it.” Linear algebra has been more seriously defined as “a branch of mathematics that studies vector spaces, (also called linear spaces) along with linear maps, mappings between vector spaces that preserve the linear structure.” (Wikipedia, http://en.wikipedia.org/wiki/Linear_algebra , 7 Mar 2011). Linear spaces are a generalization of the line, plane and three-dimensional space of elementary geometry, and linear transformations are analogous to the linear (straight-line graph) functions you have encountered in basic algebra. The subject is vast and rich, and still under vigorous development—as professors are fond of saying, we will only scratch the surface of the field. But what you learn here has important applications
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