Natural Science 0274 - Linear Algebra

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. In addition to containing real finite dimensional vector spaces, linear independence, linear transformations and inner product spaces, the course will cover eigenvalues and eigenvectors, diagonalization, and linear programming theory with applications to graph theory, game theory, differential equations, Markov chains, and least squares approximation. Basic programming will be taught and used throughout the course. Problem sets will be assigned weekly. This course is appropriate for students with at least one semester of Calculus.

Quantitative Skills In this course students are generally expected to spend at least 6 to 8 hours a week of preparation and work outside of class time.