# Math 313 - Introduction to Linear Algebra

## 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.

## PREREQUISITES

MATH 129, MATH 223, MATH 243, MATH 254, or CSC 245. Must not have taken MATH 310.

## SECTIONS AND INSTRUCTORS

Section information and links to instructor webpages are found 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)