MA 244, Introduction to Linear Algebra

Course Description and Goals

This is an introductory course in linear algebra primarily intended for students in mathematics, science, and engineering. Topics include

systems of linear equations and their solution by Gaussian elimination
vectors in Rⁿ and the inner product operation
the algebra of matrices and the determinant of a matrix
eigenvalues and eigenvectors of matrices
similarity and diagonalization of matrices
abstract vector spaces
linear independence, span, basis, and dimension
linear transformations on vector spaces and their associated matrices and subspaces
special properties of symmetric matrices
applications, particularly to geometry and calculus
the use of the MATLAB computer algebra system

Goals include

a basic understanding of the special language, notation, and point of view of linear algebra
a basic understanding of the key concepts of linear independence, span, basis, and dimension
an improved ability to think abstractly, in particular a basic understanding of an abstract algebraic structure defined by a set of axioms
the ability to solve basic computational problems involving matrices and systems of linear equations.
the ability to construct simple proofs
a basic understanding of the central importance of linear algebra in other areas of mathematics
an improved ability to read, write, speak, and think in mathematical terms

Alabama General Studies Curriculum

MA 244 is an AGSC approved course. The standard AGSC number is Math 237.

Prerequisites

MA 172, Calculus B or MA 120, Calculus with Applications

Credit Hours

3 Semester Hours

Course Materials

The text is Introductory Linear Algebra, an Applied First Course, 8'th edition by Bernard Kolman and David Hill, published by Prentice Hall (2005). The software package MATLAB is used in this course.

Grading System

This course is graded A, B, C, D, F. The grade typically depends on a combination of class tests, homework, MATLAB assignments, quizzes, and a comprehensive final exam.