Course
Description: An introduction to the
basic concepts of linear algebra. Topics include finite-dimensional
vactor spaces, bases, linear transformations, and matrices.
Course Objectives:After
completion of the course the student
will be able to:
Solve a system of linear equations using Gaussian
elimination.
Determine if a subset of a vector space is or is not a: subspace of that vector
space, spanning set for that vector
space, linearly independent subset, or basis for that vector space.
Find a basis for the: row
space of a given matrix, column space of a
given
matrix, and nullspace of a given matrix.
Find the transition matrix from one basis to another.
Determine if a function from a vector space to a
vector space is or is not a linear transformation.
Represent a given linear transformation as a matrix
with respect to any given bases.
Determine if a set of vectors is or is not
orthonormal with respect to a given inner product.
Construct an
orthonormal basis from any given basis.
Determine the eigenvalues of a given matrix.
Find bases for the eigenspaces of a given matrix.
Diagonalize a given symmetric matrix.
General Expectations:
You are expected to attend all
classes. If you miss more than 14% of the scheduled classes, then
you will be dropped with a WF; there are few exceptions. You are
expected to be on
time and in your seat at class time, to end personal conversations when
class begins, and to turn off all cell phones and pagers. If you
are tardy, please come on in but do not expect me to alter my roll.
Any student electing to
withdraw from this course after drop/add and prior to midterm will be
assigned a grade of W. This withdrawal process must be completed
by the student. Any student who just stops attending class will be
dropped from the roll for excessive
absences and receive grade
of WF.
North Georgia College and
State University is
committed to equal access to its programs, services, ans
activities.
If you believe that you have a disability requiring an accommodation,
then reasonable prior notice needs to be given to the instructor and to
the Office of Student Disability Resources. This must be
officially
done by visiting Room 122 Barnes Hall, calling 867-2782, or sending a
message to emcintosh@ngcsu.edu.
You are expected to be
familiar with and abide by the college's honor code and academic
integrity
policy.
You should bring the text
(below), a calculator, clean paper, and a pencil to every class.
Work that is graded must be done in pencil.
Methods
of Instruction:
The methods of instruction are
determined by the instructor; however, the instructor is expected to
use a variety of methods. These methods may include, but are not
limited to lecture, problem-solving sessions, discussion, group
projects, question and answer sessions, computer-based or
calculator-based explorations, group activities, activities that
utilize manipulatives, student presentations, and collaborative work.
In addition, timely feedback from tests, projects, and daily
assignments is expected.
Methods of Evaluation: There will be
three tests (one hour), various homework assignments, and a final (two
hours). A student's grade in the course will be 1/2 test average,
1/6 homework average, and 1/3 final test grade.
Class Evaluation: Class evaluations at NGCSU are now conducted on-line
through a Banner. Evaluation of the class is considered a
component of the course and a student is not permitted to access
the course grade until after the evaluation has been completed.
The on-line evaluation form will be accessible during the week before
the Final Exam. Instructions will be made available at that time.
Course Content: Please
refer to Course
Description above.
Knowledge
Base:
1. Required
Text: Schwartz, Jacob T. Introduction to Matrices and Vectors,
Dover, 2001.
2. Required
Text: Pettofrezzo, Anthony J. Matricies and Transformations, Dover,
1978.