Linear Algebra is the area of mathematics concerning vector spaces and linear transformations between these spaces. We will begin by studying vectors in a 2-dimensional plane, and then we will extend the concepts of span, linear independence, basis, and dimension to higher dimensions and to more abstract vector spaces. Applications of Linear Algebra are ubiquitous, in both pure and applied mathematics, as well as in the natural and social sciences, engineering, and business. Students will encounter topics ranging from population dynamics to the spread of rumors on facebook in the computer lab assignments. The course itself will be a combination of practical computation (both by hand and with Mathematica) and mathematical theory. This means that students will be introduced to mathematical proof-writing and to mathematical definitions as part of this course. Prerequisite: Mathematics 129 or Mathematics 203 or 2 credits of college level calculus with consent of instructor.