Math 370, Spring 2014


Description of course: This is a the first semester of a year-long undergraduate course in linear and abstract algebra. The first semester will emphasize topics in linear algebra, such as matrices, vector spaces, linear transformations, inner products. Some aspects of abstract algebra (groups, rings, fields) will also be discussed in the first semester as relevant to the discussion of linear algebra; but the second semester (Math 371) will discuss those topics in greater depth.

The course will be varied, involving theory, computations, and examples. It is open to undergraduate students, both to math majors and others. The course is more in-depth and more theoretical than the linear algebra course Math 312. Math 502 is a more advanced and more theoretical course on abstract and linear algebra than Math 370, and that course is open both to undergraduate and graduate students. Students in Math 370 should have had some exposure to vectors and matrices, e.g. in Math 240. Students who would like to consult an additional text on linear algebra may wish to look at the book "Linear Algebra Done Right" by Sheldon Axler, or at the paperback "Linear Algebra" by Seymour Lipschutz and Marc Lipson in the Schaum Outline series. Those who would like another reference for abstract algebra may wish to consult "A First Course in Abstract Algebra" by John Fraleigh, or "Schaum's Outline of Abstract Algebra" by Lloyd Jaisingh.

Homework assignments for Math 370

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