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Direct linkSavoye, Philippe – PRIMUS, 2009
In recent years, I started covering difference equations and z transform methods in my introductory differential equations course. This allowed my students to extend the "classical" methods for (ordinary differential equation) ODE's to discrete time problems arising in many applications.
Descriptors: Equations (Mathematics), Calculus, College Mathematics, Mathematics Instruction
Savoye, Philippe – PRIMUS, 2011
In this article, I summarize how I present the Rayleigh-Ritz procedure, in a second-semester differential equations course that I teach, and describe some benefits that I believe my students have derived from exposure to this topic. (Contains 3 figures.)
Descriptors: Majors (Students), Calculus, Mathematics Instruction, Equations (Mathematics)
Savoye, Philippe – Mathematics and Computer Education, 2011
The development, in an introductory differential equations course, of boundary value problems in parallel with initial value problems and the Fredholm Alternative. Examples are provided of pairs of homogeneous and nonhomogeneous boundary value problems for which existence and uniqueness issues are considered jointly. How this heightens students'…
Descriptors: Equations (Mathematics), Calculus, Mathematics Instruction, College Mathematics
