Peter J. Littig
Introduction to linear algebra (i.e., concepts, tools, and operations related to matrices and vectors) with emphasis on interdisciplinary applications. Provides an introduction to the mathematical concepts, arguments, and proofs that occur in linear algebra. Prerequisite: B CUSP 124.
This course will begin with considerations of the algebraic and geometric properties of vectors in 2-dimensional space. By generalizing these ideas to 3-dimensional space and beyond, we will encounter the notion of a vector space. Along the way we will come across matrices, linear transformations, and the (very important) idea of an eigenvector. We will study applications throughout the course. A highlight of the course will be an examination of Google’s PageRank algorithm.
Student learning goals
Identify the major conceptual and theoretical themes of linear algebra.
Solve problems using the analytical techniques learned in the course.
Assimilate the vocabulary of linear algebra and use it to communicate ideas clearly, precisely, and meaningfully.
General method of instruction
Interactive lectures and small group work.
BCUSP 124 (Calculus I) or equivalent.
Class assignments and grading
Homework will be assigned regularly and will include exercises from the course text as well as extended problems of my own design.
Grades will be based on student's performance on assigned work, quizzes, and exams.