Mathematics 260

MATH 260
Introductory Linear Algebra

1. Catalog Entry

MATH 260
Introductory Linear Algebra

Credit hours (3)
Prerequisites: Any of MATH 137, MATH 138, MATH 151, or permission of instructor.

Matrix Operations, systems of linear equations, Gaussian elimination, determinants, basic properties of vector spaces, basis and orthogonality, and eigenvalues and eigenvectors.  Calculators and computer software such as MATLAB will be used in this course.

2. Detailed Description of Course

    1) Linear systems of equations
    2) Gaussian Elimination
    3) Matrices and matrix operations
    4) Rank and inverse of a matrix
    5) Determinants
    6) Linear dependence and independence
    7) Basic vector spaces, orthogonality and basis
    8) Eigenvalues and eigenvectors
    9) Applications

3. Detailed Description of Conduct of Course

Classes will be conducted in lecture format with time reserved for discussion. Students will be required to use current technologies for some of the assignments, and a few (2-5) lectures will serve as laboratory sessions in preparation for these assignments.

4. Goals and Objectives of the Course

Upon successful completion of the course the student will
    1) know basic methods for solving systems of linear equations
    2) be familiar with the basic matrix operations,
    3) know how to compute determinants, and will understand the role of determinants in the theory of solvability of linear equations, and invertability of matrices,
    4) understand the role of the rank of a matrix for the solution set of linear equations,
    5) know the basic concepts of eigenvalues and eigenvectors,
    6) be familiar with typical applications of matrices.
    7) be familiar with the use of calculators and software in matrix computations.

5. Assessment Measures

These measures may vary among instructors.  They usually include quizzes, exams, graded homework, computer assignments and a final exam.

6. Other Course Information

None

Review and Approval

September 2001

March 2009

June 20, 2015