The purpose of this course is to develop mathematical, modeling, and computational skills for optimization. The emphasis in these videos are mathematical.
This video introduces set, minimum, infimum, range, and uniqueness. After watching this video, you should be comfortable with the language of sets, how to find minima and maxima of sets, and the fact that solutions to optimization problems may be non-unique.
This video introduces mathematical statements, implications, necessary and sufficient conditions, Perron’s Paradox, the importance of being precise, and the Weierstrass Theorem. After watching this video, you should be comfortable reading, writing, and understanding implications.