| Course Description | Syllabus | Calendar |
| Grading | Exams: 1 2 3 4 5 |
Assignments
Chapter: 1 2 3 4 5 6 |
| Documents | Links | Maple |
The fundamental theme of linear algebra is the solution of systems of linear equations, like
The fundamental concept of linear algebra is the vector space. This notion embraces lines, planes, and Euclidean 3-dimensional space. But vector spaces include much, much more. The student who masters this abstraction will obtain a key to understanding a wide variety of problems. Another key concept is that of a linear transformation between vector spaces. This abstract concept has concrete representations in the form of rectangular arrays of numbers called matrices.
MCS 221 students will be encouraged to understand the fundamental ideas of linear algebra the GAC way: geometrically, algebraically, and computationally. They will apply their understanding both to "problems to solve" and to "problems to prove." Through a variety of applications, students will gain an appreciation of the widespread usefulness of linear algebra. In addition, students will find themselves seduced by the beauty of the subject as they gain experience in mathematical abstraction and logical deduction.