Introduction to Linear Algebra

Math 313

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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.


Section information and links to instructor webpages are found here.

Math 313


Students must meet eligibility requirements.

See the current Math Course Placement Chart here.


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.


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


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

To find the date and time, go to, 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).