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Ahmad, Faiz – Mathematics and Computer Education, 2011
It is a routine matter for undergraduates to find eigenvalues and eigenvectors of a given matrix. But the converse problem of finding a matrix with prescribed eigenvalues and eigenvectors is rarely discussed in elementary texts on linear algebra. This problem is related to the "spectral" decomposition of a matrix and has important technical…
Descriptors: Textbooks, Matrices, Mathematics Instruction, College Mathematics
Tassa, Tamir – Mathematics and Computer Education, 2007
A novel approach for teaching interpolation in the introductory course in numerical analysis is presented. The interpolation problem is viewed as a problem in linear algebra, whence the various forms of interpolating polynomial are seen as different choices of a basis to the subspace of polynomials of the corresponding degree. This approach…
Descriptors: Teaching Methods, Introductory Courses, Algebra, Equations (Mathematics)
Peer reviewed
Levi, Inessa – Mathematics and Computer Education, 1997
Discusses the teaching of linear algebra with and without computer software. Considers class format with regard to computer usage, the effect of holding classes in the computer laboratory, homework, computer projects, and student responses. Appendices contain topic tutorials and sample computer projects. (DDR)
Descriptors: Algebra, Computer Software, Computer Uses in Education, Concept Formation
Mauch, Elizabeth; Shi, Yixun – Mathematics and Computer Education, 2005
A sequence of number pairs can be used to generate many interesting examples in teaching mathematics subjects at various levels. It is often used in elementary or middle school mathematics classes to illustrate the concept of "patterns." In this paper the authors present a few interesting ways of using this sequence to form examples for high…
Descriptors: Teaching Methods, Geometry, College Mathematics, Calculus
Peer reviewed
Sanchis, Gabriela R. – Mathematics and Computer Education, 2001
Discusses the ways in which online assessment of student understanding of previous lessons was used in an undergraduate linear algebra course. (ASK)
Descriptors: Algebra, Educational Technology, Evaluation Methods, Higher Education
Peer reviewed
Bandy, C. – Mathematics and Computer Education, 1982
The use of basis matrix methods to rotate axes is detailed. It is felt that persons who have need to rotate axes often will find that the matrix method saves considerable work. One drawback is that most students first learning to rotate axes will not yet have studied linear algebra. (MP)
Descriptors: Analytic Geometry, College Mathematics, Geometry, Higher Education
Hamilton, Michael; Yankosky, Bill – Mathematics and Computer Education, 2004
Cryptology, the science of secret writing, is a great way to introduce students to different areas of mathematics such as number theory, linear algebra, probability and statistics. Cryptology consists of two branches: cryptography and cryptanalysis. Cryptography is the science of designing techniques for encrypting and decrypting a message.…
Descriptors: Technology, Mathematics Instruction, Arithmetic, Graphing Calculators