Course Description

This is a first course in linear algebra, aimed at students with diverse backgrounds. It covers the content of a standard textbook: linear systems, vectors and matrices, dimensions and bases of vector spaces, eigenvalues and eigenvectors, singular value decomposition. It is also dedicated to explaining applications of these linear algebra concepts in classic analysis methods as well as state-of-the-art statistical inference and machine learning approaches. In the application portion of the course we will strive to tailor the content to the interests and research needs of the students.

This is the first part of a two-part course. Registration is required separately for each part of the course.


One semester of analytic geometry or calculus is recommended, but not required. Basic knowledge of vectors, cartesian coordinates, and algebra is required.

Learning Objectives

  • Understand systems linear equations and their matrix representation
  • Learn the concept of vector spaces, subspaces, and linear dependence
  • Learn spectral methods for analyzing matrices
  • Understand statistical methods based on linear models

Textbook Information

Textbook Information

There is a required textbook for MATH 215/26 that can be purchased through FAES or on your own. The name of the book is Introduction to Linear Algebra  5th Ed (Gilbert Strang).  The fee for the book is $110.00. If you would like to purchase the book through FAES, please register for the section (MATH-215-002) that includes the book. Upon receipt of payment and fulfillment of your book order, your book can be picked up at the FAES Bookstore in Building 10 on the NIH campus in Bethesda.

If you are unable to pick up the book at the FAES bookstore and would like the book mailed to you, please contact FAES at (301) 496-7976 or registrar@faes.org. There is a $10 charge for mailing the book.

Thank you for your interest in this course. Unfortunately, the course you have selected is currently not open for enrollment. Please complete a Course Inquiry so that we may promptly notify you when enrollment opens.
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