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Course Description

Summary

Together with calculus, linear algebra is one of the foundations of higher-level mathematics and its applications. This course is necessary for students concentrating in mathematics, is strongly recommended for students intending to study computer science, physics, or geology, and may be useful for students in economics or biology. This course is a prerequisite for Multivariable Calculus and Electromagnetism. There are several perspectives one can take on linear algebra: it is a method for handling large systems of equations, it is a theory of higher dimensional geometry, and it is a theoretical construct that appears throughout mathematics and physics, among other things. Applications of linear algebra, (some of which will be covered in the class), include correlation coefficients and linear regression in statistics, finite element methods in physics and engineering, interaction networks and clade analysis in biology, and google page rank, error-correcting, and data compression in computing. The course will also set students up for more advanced applications in quantum mechanics, fourier analysis, and number theory.