**Math 254: Introduction to Linear Algebra **

Course number: 22156

Fall 2009

MWF, 12:00 -12:50.

GMCS 214

San Diego State University

Final Exam: Wed. Dec. 16, 10:30-12:30
No class Wed. Nov 11, Veteran's day.
No class Wed. Nov 25. furlough day.
Our last day of class: F. Dec. 11

**Professor**: Mike O'Sullivan

**Email**: m.osullivan@math.sdsu.edu

**Office**: GMCS #579, 594-6697

**Office Hours**: MWF 8:15-9:45, 11:00-11:35.

You may also stop by on Tu or Th afternoon. If I am in and available,
we can talk.

Other times: by appointment.

## Text

Lay, *Linear Algebra and Its Applications* 3rd ed.

Review for the first exam.

Review for the second exam.

Review for the third exam.

Review for the final.

## Detailed Information

## Course Description

Linear algebra is one of the most widely used and fundamental areas of
mathematics. Linear algebra is an important tool in virtually all
physical sciences, in economics and other social sciences, and in
engineering.
It is an important companion to calculus, but the flavor of the
subject is different, as you will see in this course.

We will study matrices, rectangular arrays of
numbers, and see how they are used in a variety of ways.
First, matrices are used to solve systems of linear equations.
They are an efficient means for recording the steps that are used to
solve the system. Second, matrices are used to define functions,
which we call * linear transformations*.
An **n x m ** matrix defines a function from **m
**-dimensional space to **n **-dimensional space.
From this perspective, solving a system of equations is essentially
finding the preimages for an element of the **n
**-dimensional space. Third, matrices are used to define a
change of coordinate system.

## Prerequisites

The main prerequisite is high school algebra.

## Schedule

Here is a rough idea of the amount of time I
expect to spend on each topic. A day by day schedule (see above)
will be maintained to
keep you informed of upcoming and past lectures.

## Grading

Written assignments should be carefully and neatly presented.

The expected weights of the work are given below, but this is subject
to change.

Weekly work |
250 |

Tests |
450 |

Final |
300 |

Total |
1000 |