lecture03: revision (constrained extrema and Lagrange multipliers)
Topics covered
- Constrained maxima and minima
- Why Lagrange multipliers?
- Constrained maxima example 1
- Constrained maxima ex. 1, solution
- Constrained maxima ex. 1, a bit more
- Constrained maxima example 2
- Constrained maxima ex. 2, solution
- Constrained maxima example 3
- Constrained maxima ex. 3, solution
- Constrained maxima example 4
%
- Constrained maxima ex. 2, solution
- Constrained maxima and minima
- Inequality constraints
- Example: inequality constraints
- Slack variables
- Example
- Vector spaces and function spaces
- Examples
- Normed spaces
- Examples
- Examples (cont.)
- Norms
- Inner products
- Functionals
- Integral functionals
- Example: a hanging wire
- Example: the Brachystochrone
- Example: a bent beam
- Control Example: plant growth
- Example: parking a car