The Calculus of Variations and Advanced Calculus


M820 course notes (pdf)
Differential equation summary by V.M. (pdf)
Big O
Applied Calculus of Variations for Engineers Louis Komzsik (requires OU log in)
Calculus of variations (pdf)
Another chapter on the calculus of variations (pdf)
An OU student's blog
An Introduction to the Calculus of Variations by Charles Fox (Google books)
Differential equations
Applied Differential Equations (Prof. Kenneth Howell)

Some solutions to exercises from M820 and elsewhere

Exercise 2.49c A differential equation.
a differential equation
Solution to exercise 3.21
Ex 3.21 shortest path on a cone
Double integrals

A Problem from Mathematical Methods for Science Students by Geoffrey Stephenson

finding a stationary path

Exercise 5.10 a (pdf)
Graphs showing how surface area varies with alpha
Graphs relating to section 5.3.3 (stationary surface areas of revolution)
Exercise 5.23 (a rough solution)

Odds and Ends I'm writing as I revise for my exam on 7/10/13

Re the Gateaux differential..
Calculus of variations, revision odds and ends
Parametric Functionals

parametric functionals


M823 Analytic Number Theory I
M821 Jordan and Smith, Nonlinear Ordinary Differential Equations Exercise 1.2
M821 J&S Exercise 1.5
M821 J&S Exercise 1.6

Bury Maths Tutor