lecture29: Classification of extrema

Topics covered

• Classification of extrema
• E-L solutions
• Examples
• Classification of extrema
• Maxima of N variables
• Quadratic forms
• Notes on maxima and minima
• The second variation
• Classifying extrema
• Legendre condition
• Mollifier
• Legendre condition
• Example
• Sufficient conditions
• All is not lost %
• Jacobi necessary condition