MathTutor - Differential Equations : Volume 2

Math Tutor DVD Differential Equations: Volume 2

Country : USA
Category : Mathematics
Type of material handed out : Video Tutorial
Duration : 10:58:08
Year : 2011
Language : English
Translation : None

Description :
The solution of differential equations high order is a challenge for most students simply because the solution methods usually run several pages even easier problems. The student must identify the type of equation to solve and apply the appropriate solution method, which can lead to valuable lost time on an exam if the wrong solution method is chosen at the beginning. We begin showing students real life applications of the second order and higher TAC provide motivation for the material. Next, we show how to solve elemenary second order ODE, and show the student that all solutions have a similar form. Next, we will discuss the linear independence of the solutions and to show students how to use the Wronskian test to determine the set of functions to describe the whole of solutions of ODE. We then get to the main methods of solution, which revolves around the constant coefficient differential equations. Consider the case where the roots of the characteristic polynomial of the real and complex separately in order to give students a good grounding in what to do in any case. Next, we work a few problems with the method of undetermined coefficients, which allow us to solve higher order ordinary differential equations, which are more complicated . Each step is shown in the decision, and the emphasis is on showing students how to find the function Annihilator to the right side of a decision. Finally, we use the method of variation of parameters to solve a series of equations and give the student practice of these problems step by step. Every problem fully worked with no steps skipped. The easiest way to learn differential equations, to learn by doing, and that is what this DVD set provides.