lecture01: Introduction: motivation and revision
Topics covered
- Did you bring your duck?
- Motivation
- Gold example (part ii)
- The catenary
- Brachystochrone problem
- Brachystochrone solution
- Brachystochrone history
- Cycloid generation
- Geodesics
- Dido's problem
- Control problems
- Other examples
%
- Outline
- Revision
- Maxima and minima
- Maxima and minima: example 1
- Maxima and minima: example 2
- Maxima and minima: example 3
- Maxima and minima: example 4
- Maxima and minima: example 5
- How to find maxima and minima
- Sufficient conditions
- Some useful theorems
- Sufficient conditions
- Classifying extrema
- Conclusion
- Notation
- Synonyms
- Useful Definitions: continuity
- Useful Definitions: differentiability
- Useful Definitions
- Notation