MTH1230 Linear Algebra for Engineers
Course Description
Prerequisites: MTH 1223 and 1225 or equivalent
(geometry of vectors, lines and planes in two and three
dimensions, optimization of multivariable functions,
systems of first-order constant coefficient linear
differential equations
Student Population: Chemical, civil, and mechanical
engineering majors
Goals: This course provides students with the
techniques for analyzing and solving systems of linear
equations. The students are introduced to the concepts of
vector space, subspace, linear independence, basis, and
dimension, as well as the method of least squares
approximation for inconsistent systems. In addition, the
method of eigenvalues and eigenvectors is developed for
the solution of systems of differential equations.
Topics:
- Operations on vectors and matrices
- Solving non-singular systems of linear equations
by Gaussian elimination
- Properties of vector spaces and subspaces: linear
independence, basis, and dimension
- Applications of vector spaces to solving singular
systems of linear equations
- Orthogonality of subspaces, orthonormal bases, and
the Gram-Schmidt procedure
- Least squares solutions of inconsistent systems
- Determinants
- Eigenvalues and Eigenvectors
Last modified October 3, 1998
Send comments and corrections to:
mcowen@neu.edu
URL: http://www.math.neu.edu/undergrad/course_descr/MTH1230CD.html