MASTER COURSE OUTLINE
Big Bend Community College
Date: March 2008
DEPT: MATH
NO: 220
(Formerly: MTH 220)
COURSE TITLE: Linear Algebra
CIP Code: 27.0102
Intent Code: 11
SIS Code:
CREDITS: 5
Total Contact Hrs: 55
Lecture Hours: 55
Lab Hours Per Qtr:
Other Hours Per Qtr:
Distribution Designation: Math/Science SQR
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PREPARED BY: Stephen Lane
COURSE DESCRIPTION:
A study of matrix algebra and systems of equations, abstract vector spaces including basis
and dimension, linear transformations, eigenvalues and eigenvectors. Some applications of
linear algebra to illustrate the above concepts.
PREREQUISITE(S): Math& 152 or instructor permission
TEXT: Appropriate college level text as chosen by instructor
COURSE GOALS:
To introduce the student to the topics, concepts and applications of linear algebra. To develop in
the student a sense of abstract thinking needed for success in advanced mathematics. To prepare
the student for study in advanced mathematics, physics, chemistry, engineering and computer
science courses.
COURSE OBJECTIVES: Upon Successful completion of the course, the student will
be able to:
1. Solve simultaneous systems of equations using reduction and matrix methods;
2. Be able to prove mathematical theorems of an abstract nature;
3. Work with the concepts of linear transformations, eigenvalues and eigenvectors;
4. Be able to solve problems requiring the application of matrix methods and
abstract linear spaces.
COURSE OUTLINE:
I.
Matrices and Systems of equations
Solutions of systems of equations using Guass/Jordan method
Solutions of systems of equations using matrices and matrix inverses
Rank of a matrix
Solution space of a matrix
II.
Applications of matrices
Markov Chains
Equilibrium networks
Production Planning: Leontiff Models
Linear Programming
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III.
Abstract Vector Spaces
Vector spaces and subspaces
Basis and dimension
Orthogonality and orthogonal bases
Linear transformations
Eigenvalues and Eigenvectors
EVALUATION METHODS/GRADING PROCEDURES:
In order to give the instructor the greatest flexibility in assigning a grade for the course,
grades will be based on various instruments at the instructors' discretion. However, to
maintain instructional integrity there must be four class exams or three class exams and
a project. A final exam will be given if there are less than four exams or a project may
be substituted for the final exam if there are four in-class exams. At least 60% of the
grade will be based on quantifiable work (exams, homework, quizzes, etc.). The
remaining portion of the grade may be based on quantifiable work, attendance, projects,
journal work, etc., at the instructor's discretion.
The following is a compilation of acceptable grading instruments: In class exams and a
final, attendance, homework or quizzes, research paper, modeling projects on the
calculator or computer. Other projects or assignments as deemed appropriate at the
instructor's discretion.
PLANNED TEACHING METHODS/LEARNING STRATEGIES:
x Lecture
x Small Group Discussion
x Special Project
Laboratory
Audio visual
Other (List)
Supervised Clinical
Individual Instruction
Division Chair Signature
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