Catalog Description

        Linear equations, matrices, determinants, vector spaces, bases, linear transformations and
        similarity, inner product spaces, eigenvectors, orthonormal bases, diagonalization,
        and principal axes.

        Pre- or corequisite: MAT 272 or equivalent.

View this description with all of the Math department's 300 level courses

This is the standard undergraduate first course in linear algebra, covering linear equations, matrices, determinants, vector spaces, bases, linear transformations and similarity, inner product spaces, eigenvectors, orthonormal bases, and diagonalization. This course is presented in a more rigorous way than you may be used to from previous math courses, so although the theory is easier than that of calculus, there will be perhaps unexpected challenges for most students.

The pre- or corequisite is MAT 272, Calculus III. Although calculus will not be used formally in the course, it is a good source of examples (and in turn linear algebra is extremely useful in calculus!), and moreover a couple of semesters of calculus serves as a good "warm-up" for the study of linear algebra.

A basic outline of core topics is as follows:

• Systems of linear equations and matrices, Gauss-Jordan elimination, homogeneous systems, matrix algebra, elementary matrices, inverses
• Determinants, by row reduction and cofactor expansions
• Vector spaces, linear independence, subspaces, bases, and dimension
• Linear transformations,  matrices, change of basis, similarity, rank, null spaces, and range
• Inner product spaces, Gram-Schmidt orthogonalization
• Eigenvectors and eigenvalues, diagonalization

Steven J. Leon, Linear Algebra with Applications, Fifth Edition,  Prentice Hall, 1998.  Leon Linear Algebra Textbook Homepage  (free for all ASU MAT 342 students)

Fall 99:
Helene Barcelo
Ying-Cheng  Lai
Joan McCarter
Basil Nicolaenko
Hank Kuiper
Christian Ringhofer
Jack Spielberg

Summer 99:
Frank Farmer
Alan Feldstein
Matthias Kawski

Spring  99:
Andrew Bremner
Joaquin Bustoz
Nancy Childress
Glenn Hurlbert
John Jones
Joan McCarter
Sergei Suslov

Fall 98:
Helene Barcelo
Alan Feldstein
Yang Kuang
Basil Nicolaenko
Hal Smith
Jack Spielberg
Horst Thieme

Summer 98:
Hank Kuiper
Nandor Sieben
Stefania Tracogna

Spring 98:
Sergei Suslov

Spring 97:
John Quigg

Fall 96:
Matthias Kawski

Maple
Instructor: Sergei Suslov, Spring 98 :
Lab#1, "Introduction to Maple V".
Lab#2, "Gauss-Jordan elimination".
Lab#3, "Matrix Algebra".
Lab#4, "Matrix Inversion, Determinants, and Cramer's Rule".
Lab#5, "Vector Spaces, Independence, Basis, and Dimension".
Lab#6, "Row Space, Column Space, and Nullspace".
Lab#7, "Gram-Schmidt process, Eigenvalues and Eigenvectors".

Maple V, Release 4, Demo Version Free Download
Linear Algebra Modules Project
Maple Graphics Gallery

Matlab
Instructor: Matthias Kawski, Fall 96:
Worksheets

Matlab35
Matlab Online Reference Documentation  

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