Linear algebra

Learning how to translate concrete ideas to abstract levels.

You need to learn how to translate concrete ideas into abstract ones as part of your training in mathematics. In this course, we need to understand linear maps which are one of the the simplest maps, which is essential to one of the key ingredients in calculus, namely the the local approximation of maps by linear maps (their derivatives). You will be able to define an abstract vector space, evaluate the matrix of a linear map, and solve a system of linear equations and appreciate the power of abstraction.