Catalog Description

         Introduction to matrices, systems of linear equations, determinants, vector spaces,
         linear transformations, and eigenvalues. Emphasizes development of  computational skills.

         Prerequisite: 1 semester of calculus or instructor approval.

View this description with all of the Math department's 200 level courses

This is a first course in linear algebra, covering linear equations, matrices, determinants, linear (Euclidean) spaces, bases, linear transformations and similarity, inner products, eigenvectors, orthonormal bases, and diagonalization. The goal of the course is to impart the concepts  and techniques of modern linear algebra (in Euclidean space) with an emphasis on development of computational skills.

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, Cramer's rule
• Euclidean space, subspaces, linear independence, bases, dimension, row, column and null spaces
• Inner product spaces, norms, orthogonal bases, and Gram-Schmidt orthogonalization
• Linear transformations, matrices, change of basis, similarity, kernel and range, inverse transformations
• Eigenvectors and eigenvalues, diagonalization, and symmetric matrices

C.H. Edwards and D.E. Penney, Elementary Linear Algebra,   Prentice Hall, 1988.

Fall 99:
Nancy Childress
Kevin Kadell
Sergei Suslov

Summer 99:
Paul Vaz

Spring  99:
John McDonald
Frank Farmer

Fall 98:
Anne Gelb
Steven Kaliszewski
Juan Lopez

Summer 98:
Sergey Nikitin

Fall 97:
Sergei Suslov
Stefania Tracogna

Maple
Instructor: Sergei Suslov, Fall 99:
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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