Linear Algebra Call No. Linear equations, matrices, determinants, finite dimensional vector spaces, linear transformations, Euclidean spaces. Introduce the more abstract generalizations of these concepts, such as vector spaces and linear transformations. Present a sampling of applications to illustrate the usefulness of these concepts in other disciplines.
Computers now handle most computations in real world applications.
The understanding of the basic concepts is at least as important as the computational techniques - after all, when you will use linear algebra to solve some problem, it will be your job to tell the computer what to compute. Consequently, work in class, homework assignments, and exams, will emphasize concepts along with simple computations. Assigned for every class meeting, but will not be collected. Some problems will be discussed at the next class meeting. It is very important to work regularly, and in a timely fashion, on the exercises in order to test one's understanding of the concepts and techniques, and in order to master the required computational techniques.