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Web Equation. Mathematics Department - Mathematics Software. Rader's NUMBERNUT.COM. CSERD: Eigenvalue Lesson. Audience The eigenvalue activity is designed for use in an undergraduate level course in physics or mathematics. In an upper level undergraduate mathematics or physics course, this activity could be used to illustrate eigenvalue problems in applied mathematics. Solutions While using the small angle approximation, this can be solved either numerically or analytically. Students may well see that the solution to this problem can be written as In order for the pendulum to be at the original position when , the length must satisfy .

For the question of how this will be affected by the small angle approximation, students will need a numerical solution. An important point to stress is that problems like this, while not the classical mathematical eigenvalue problem, are what physicists typically mean by eigenvalue problems. Is clearly sinusoidal function, but if P is constrained, only waves with specific frequencies will both solve the equation and match the boundary conditions. Differential Equations. Differential Equations (Math 3301) Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations. I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.

A couple of warnings to my students who may be here to get a copy of what happened on a day that you missed. Because I wanted to make this a fairly complete set of notes for anyone wanting to learn differential equations I have included some material that I do not usually have time to cover in class and because this changes from semester to semester it is not noted here. Here is a listing and brief description of the material in this set of notes. Basic Concepts.