Supplements of the Essentials of Mathematical Methods in Science and Engineering (2008) concentrates on the needs of engineering and applied science students
(http://www.metu.edu.tr/~bayin).
The file named SUPPLEMENTS has three parts:
Part I: We discuss m x n systems; row echelon
forms; row, column and null spaces; rank and nullity; linear
independence and basis vectors; linear transformations and their
representations; etc.
Part II: We introduce numerical methods
of linear algebra, where partial pivoting; LU- factorization;
interpolation and numerical methods of finding solutions are among the
interesting topics discussed.
Part III: We give an interesting application of linear algebra from chemistry and chemical engineering, where we show how to find a set of independent chemical reactions and introduce the stoichiometric matrix.
The file
named BAYIN(2008)-mathlab-files-JULY11-2010 has some matlab
codes, where after a review of the basic commands, we continue with matlab
applications of the numerical methods of linear algebra. These
codes were used in the lab section of a one semester sophomore math course
for engineers that met four hours a week. Students had little or no prior experience with matlab.