Math-275 Linear Algebra

Mathematics, Statistics & Computer Science Department

COURSE NO./TITLE: MATH-275 (355-275) LINEAR ALGEBRA

CREDIT: 3

COURSE DESCRIPTION: Algebra of linear transformations and matrices. Determinants, equivalence relations, rank systems of equations, vector spaces, orthogonal transformations, characteristic equations and quadratic forms.

Prerequisite: MATH-153 or MATH-156.

TEXTBOOK:

  • Adopted 8/04: Linear Algebra & Its Applications, 3rd Ed. by Lay
  • Adopted 8/98: Intro to Linear Algebra, 1st Ed., by Johnson, Reiss & Arnold
  • Adopted 8/93: Introduction to Linear Algebra, 5th Ed. by Kolman

COURSE OBJECTIVES:

  1. To develop the concepts of proof.
  2. To develop the concept of mathematical structure.
  3. To develop skill in the transfer of abstract ideas to application to specific problems.
  4. To strengthen powers of reasoning.
  5. To provide experience and skill in manipulation of matrices.
  6. To further acquaintance with the rational processes of science.
  7. To build an awareness of and appreciation for the unifying trends in geometry and algebra.

COURSE OUTLINE:

  1. Matrices
  2. Determinants
  3. Rank and Equivalence
  4. Linear Equation and Linear Dependence
  5. Vector Spaces and Linear Transformation
  6. Orthogonal Transformations
  7. Characteristic Equation of Matrix
  8. Bilinear and Quadratic Forms

Revised 1/05