# Introduction to Linear Algebra

# Math 313

## COURSE OBJECTIVES:

By the end of the course, students should be able to:

State precise definitions of key terms introduced in the course, including systems of linear equations, vectors, vector spaces, dimension, linear independence, matrix terminology, eigenvectors and eigenvalues.

Carry out basic computations from linear algebra by hand, such as row reduction, determinant calculation, etc., as well as use MATLAB to carry out more intensive computations.

Produce simple deductive arguments that follow from the definitions and justify steps in deductive arguments based on basic logical principles.

Write sentences that explain the relation between key ideas in linear algebra and the algorithms that allow their calculation, e.g. the definition of a linearly independent set of vectors versus the computation of a linear independent set of vectors from a spanning set.

## SECTIONS AND INSTRUCTORS

Section information and links to instructor webpages are found here.

## ELIGIBILITY

Students must meet eligibility requirements.

See the current Math Course Placement Chart here.

## COURSE MATERIALS

The following course materials are required for Math 313:

**sections 001-009:**“Linear Algebra and its Applications” by Lay, Lay, and McDonald, custom version for UA (5th edition), published by Pearson. (accessed through d2l and charged to Bursar's account)**sections****103, 203, 403:**"Linear Algebra: A Modern Introduction" by Poole (4th edition) published by Cengage. (accessed through d2l and charged to Bursar's account)Access to MATLAB software.

## COURSE POLICIES

The SPECIFIC Course Policy for your Math 313 section should be made available to you by your instructor.

## FINAL EXAM

*See instructor or syllabus for more details regarding your final exam.*

To find the date and time, go to https://registrar.arizona.edu/finals, scroll down and click on the link for the Exam Schedule for Tu/Th or M/W/F classes (whichever matches your normal class meeting time).

## RESOURCES AND LINKS

Linear Algebra Toolkit From P. Bogacki at Old Dominion University

Khan Academy: Short video lectures on topics in linear algebra-- very good!

Lights (a game whose solution is found using Linear Algebra)

## MATLAB AND TUTORIALS

Matlab Dostert's Introduction 1: Running Matlab, basic commands, and calculator type work.

Matlab Dostert's Introduction 2: Creating and running script files and functions.

Matlab Dostert's Introduction 3: Creating and using vectors.

Matlab Dostert's Introduction 4: Creating and using matrices.

Another Tutorial (from U. Utah)