| MAT 310: Linear Algebra |
Syllabus and Homeworks
Place and time: Lecture: TuTh 1:00pm-2:20pm, ESS 131
Professor: Alexander Kirillov, <kirillov at math.sunysb.edu>
Recitation Instructor: Jaepil Lee
Course description: This course will focus on mathematical proofs as well as on computations. Some of the topics we will cover are: matrics and operations on matrices; determinants of matrices; vector spaces and subspaces; linear transformations and linear operators and their kernels and images; basis for vector space and the dimension of a vector space; eigenvalues, eigenvectors and the diagonalization of linear operators; the Cayley-Hamilton Theorem; inner product spaces; selfadjoint operators, normal operators, and orthogonal operators; the Spectral Theorem.
Textbook:Linear Algebra, 4th edition, by Stephen Friedberg, Arnold Insel and Lawrence Spence. Available at the University Bookstore or from amazon.com.
Exams, homeworks, and grading.
There will be weekly homeworks, two midterms, and the final exam. Your final grade will
be determined by the weighted average of the grades, using the following scheme:
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