INTRODUCTORY LINEAR ALGEBRA
MATH 260. Introductory Linear Algebra
Three hours lecture (3).
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.
Detailed Description of Content of Course
- Linear systems of equations
- Gaussian Elimination
- Matrices and matrix operations
- Rank and inverse of a matrix
- Linear dependence and independence
- Basic vector spaces, orthogonality and basis
- Eigenvalues and eigenvectors
- Symmetric Matrices and diagonalization
Detailed Description of Conduct of the 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.
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.
(1) Examinations: These measures may vary among instructors. They usually include quizzes, exams, graded homework and a final exam.
(2) Projects: Students will be required to submit at least one project using technology.
(3) Participation: Class participation is expected.
Other Course Information
Review and Approval
DATE ACTION APPROVED BY
Sept. 2001 Review Stephen Corwin, Chair
March 2009 Review Jill Stewart, Chair