MTH215 (Intorduction to Linear Algebra)

Vladimir A. Dobrushkin, Tyler 207, 874-5095,

Math 215 course is the first undergraduate course in linear algebra. We provide an introduction to the basic algebraic, geometrical, and computational tenets of linear algebra at the sophomore level. To this end the course introduces many of the foundations of linear algebra by first dealing with matrices, their propereties, while showing the geometric foundations of the topic. Students are encouraged to use one of the available software, for example Maple (see list of commands), Matlab (see list of commands), Mathcad, Mathematica, Reduce, Macsyma, Axiom, Derive, or MuPAD, to complement the topics. Various applications are to be presented to motivate the study of linear algebra. Emphasis is placed on the use of established methods, rather than rigorous foundations.

  • Vectores, Matrices, and Linear Systems.
  • Dimension, Rank, and Linear Transformations.
  • Vector Spaces.
  • Eigenvalues and Eigenvectors.
  • Orthogonality.
  • Applications and Computations.
  • MTH215, section 02, MWF 9:00 - 9:50 am Tyler Hall, Room 106

    TEXTBOOK: John B. Fraleigh & Raymond A. Beauregard "Linear Algebra", (third edition) 1995, Addison-Wesley Publishing Company, Inc. ISBN: 0 201 52675-1. Here are some useful links for linear algebra:

  • Linear Algebra Toolkit
  • S. Smith's Math 310 Home page
  • Math Archives - Linear & Matrix Algebra
  • STAT/MATH Center - Linear Algebra with Maple
  • Open Directory Project - Linear Algebra
  • Notes on Linear Algebra
  • F. Wattenberg's Example of Linear regression and linear transformations - scroll down to the 3rd exampl
  • Help With Your studies and homework:
    Tutors are available at both the providence and kingston campuses. Check with them for specific hours. Also, you can make individual appointments with me. For this, contact me by phone, e-mail, or ask me during class.
    I may help you with questions during office hours, or at other times by appointment. Also, I will try to answer questions sent by electronic mail as promptly as possible. Students who require accommodations and who have documentation from Disability Services (874-2098) should make arrangements with me as soon as possible.

    Prof .Vladimir Dobrushkin
    Department of Mathematics