Course Catalog Description
The prerequisites are a satisfaction of the Mathematics Proficiency requirement. The idea of a matrix, or rectangular array of objects, is surprisingly powerful and pervasive in mathematics and its applications. This course explores the algebraic properties and uses of matrices. Topics include inverses, determinants, systems of linear equations, eigenvalues and eigenvectors, and applications to such areas as network flow, economic input-output analysis, random processes, electric circuits, game theory, and linear optimization.
The purpose of this course is to introduce you to handling a powerful construct in mathematics – the matrix. Mathematics advances by giving us the tools to improve our understanding of the world around us. This course shows you why matrices are useful in describing and understanding life.
By the end of this course, you should be able to
- represent experienced phenomena in matrix form;
- perform algebra with matrices;
- calculate eigenvalues and eigenvectors of a matrix;
- use matrices to understand Markov chains;
- calculate the least squares means and lines;
- use matrices to solve questions about phenomena; and
- use Mathematica to solve problems and typeset them nicely.