Meets the following requirements: QR   

Through the study of linear algebra in this course, students will acquire powerful analytic techniques that are essential tools in almost any field of applied mathematics, including: physics, engineering, computer science, economics.  Linear algebra is also commonly used in chemistry and mathematical biology.  Our study of linear algebra will begin by abstracting and formalizing the idea behind solving familiar systems of linear equations.  This will lead us to the study of matrices and determinants.  We will study these mathematical objects both algebraically and geometrically, leading up to a general treatment of linear vector spaces.  Additional topics covered will include: linear transformations; inner products and orthogonality; eigenvectors, eigenvalues, and their application. Where possible, applications to students' fields of interest will be emphasized.  Students will leave this course with a solid foundation in the key ideas and techniques of linear algebra.  Evaluation will be based on class participation and weekly problem sets. 

Level:  Advanced. Prerequisites:  Permission of Instructor.  QR.  Lab fee: $10.