Calculus of Variations 2
The Second Variation
Description
This is the second course in a series of courses on The Calculus of Variations which covers the second variation and some generalised functionals.
I would recommend having completed the first course or alternatively have a good grounding on the basics of Calculus of Variations.
We will cover the fundamentals of the second variation which will consist of a thorough grounding in conjugate points and envelopes. Then we will move onto looking at some more generalised functionals.
This is a difficult course but you will learn a lot of mathematics at a graduate level that you would only get taught at a University. I have worked through all of the derivations myself and have rewritten then in a manner in which I think will add value to your understanding and will also give you really useful methods and way to understand advanced Calculus.
Don't worry of you don't get it at first. I often find when trying to understand an advanced topic it is best to leave it sometimes for a few days and then go back to it afresh. Also remember to get in contact with me if you run into any problems or there is something you just don't get.
What You Will Learn!
- Second Variation
- Legendre Test
- Jacobi Accessory Equation
- Conjugate Points
- Generalised Functionals
- Green's Theorem
Who Should Attend!
- Physics and Mathematics Majors and Curious Minds