14. Course Objectives: This course is concerned
with matrices and vectors.
In one setting , matrices and vectors merely serve as efficient
devices for storing the coefficients and solutions of systems of linear
equations. The solutions of many such systems, though, are hard to
even describe without the right language. This is the language of vector
spaces, where matrices serve as functions turning vectors into other
vectors. We will then spend most of our time examining vector spaces,
and especially various vector spaces we can naturally as sign to a matrix .
In this setting, eigenvalues and eigenvectors of a matrix arise naturally,
and we end the course examining these.
Upon successful completion of this course, you will be
able to solve
and analyze systems of linear equations . You will be able to nd and
describe the various vector spaces associated to a matrix, and you will
be prepared to study more abstract vector spaces. You will be able
to compute eigenvalues and eigenvectors of a matrix, and know what
they are good for. You will be able to do all of this equally well with
the symbolic / numerical description of matrices and vectors as arrays of
numbers, and with the geometrical description of matrices and vectors,
using the powerful organizing concept of dimension, even in dimensions
higher than 3.
15. Course Activities/Assignments: Computer-based
be assigned to gain intial knowledge on basic linear algebra concepts .
Computer modules are webbased and can be accessed on any computer
There may also be homeworks assigned from the textbook in
provide means for practice of concepts covered in class.
16. Course Schedule: Chapters 1-4 will in the text
will be covered. Specific dates TBA.
17. Grading Policy: Grades will be based on
and exams; details TBA