Math 206 Math 206, Linear Algebra Linear Algebra is one of the most beautiful subjects in the undergraduate mathematics curriculum. It is also one of the most important in terms of its possible applications.
Linear algebra studies the theory of abstract vector spaces and linear transformations.
The gizmos, whatever they may be, are called vectors, or abstract vectors. A linear transformation is a special kind of function from one abstract vector space to another. The student who takes this course can learn computational techniques that have widespread applications, in the natural and social sciences as well as in industry, finance, and management. Proof is the gold standard of mathematical discourse, and linear algebra is especially well suited for learning to do proofs. Many aspects of the course material are abstract, yet the logic involved is quite direct and the proof paths are often guided by very concrete ideas.