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Course Description:
Topics will include matrix algebra, elementary matrices, inverses, rank, determinants; computational aspects of solving systems of linear equations: existence-uniqueness of solutions, Gaussian elimination, scaling, ill-conditioned systems, iterative techniques; vector spaces, bases, dimension; Eigenvalue problems, diagonalization, inner products, and unitary matrices.
Faculty/Manager:
Marc Speigelman/Weiwei Shen
Contact Information:
Please contact the course manager Weiwei Shen at ws2215@columbia.edu with any questions concerning this course. Class Homepage: http://www.ldeo.columbia.edu/%7emspieg/e3101 Credits for Course: 3 Viewing Schedule: 2 lectures per week Applicable Degree Program: This is a 3000-level undergraduate course, which will not count toward a degree or certificate program. Required Text(s): Gilbert Strang: Introduction to Linear Algebra, 3rd edition
Books can be ordered from the bookstore through this link.
http://www.campusstores.com/columbia/index.asp
Homework: Yes. Midterm Exam: Two quizzes. Final Exam: Yes. Grading: Homework 20%
Quizs 40%
Final 40%Software Requirements: Matlab is optional but useful tool for doing computational linear algebra.
* The information contained in this syllabus is subject to change at any time.