|Instructor Info:||Kenneth Hoffman|
Office Extension x5401
This course develops the basic geometric, algebraic, and computational foundations of vector spaces and matrices and applies them to a wide range of problems and models. The material will be accessible to students who have taken at least one semester of calculus and is useful to most consumers of mathematics. The course focuses on real finite dimensional vector spaces and inner product spaces, although abstract and infinite-dimensional vector spaces will be discussed towards the end of the semester. Applications will be made to computer graphics, environmental models, differential equations, Fourier series, and physics. Computers will be used throughout. Problem sets will be assigned for almost every class. Prerequisite: a year of Calculus.
Your final evaluation will depend largely on the quality of your problem set writeups -- are they turned in on time, are they clear and easy to follow, are they accurate, can you use the software comfortably to explore problems. Some of the problem sets will be fairly straightforward drills, but others will require more thought --these are the ones you should be particularly attentive to!
Don't get behind! I have a lot of available office hours, and it's better to come in early if things are getting hard rather than waiting until you are about to drown.
It is recommended that you work together, either in groups of 2 or 3, or by organizing problem sessions for everyone whose interested to get together to work on the assignments. You can often learn much more by trying to figure things out collectively than by waiting for me to make it all crystal clear.
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