Course Description:
This upper study begins with an examination of linear equations, matrices, and determinants. This foundational knowledge leads to a detailed study of real vector spaces, including linear independence, basis, dimension, and orthogonality. Following an introduction to eigenvalues and eigenvectors, the study will culminate in an exploration of linear transformations, which are the multidimensional generalization of the familiar linear functions.
The primary audience for this course is students who wish to concentrate in either mathematics or applied mathematics. Students interested in various fields which have a strong connection to this branch of mathematics (such as physics, computer science, or the cognitive sciences) may also be interested in this course.
Prior to enrolling in this course, student should have at least two semesters of undergraduate mathematics, including Calculus 1 and Calculus 2. Excellent algebraic skills and working knowledge of mathematical notation and terminology are essential for success in this course.
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