The course "Optimization Techniques" (ENGG*6140, section 2) at the School of Engineering at the University of Guelph. Instructor: Benyamin Ghojogh
Lecture 1 includes introduction to the course, introduction to optimization, and some preliminaries, including univariate and multivariate optimization, optimization versus search, interior and boundary of set, convex set, convex hull, minimum, maximum, infimum, supremum, and inner product.
The slides are available at: https://bghojogh.github.io/pages/uoguelph/engg-6140-w23/
Very useful optimization courses at Stanford University by Prof. Stephen Boyd: https://www.youtube.com/playlist?list=PL3940DD956CDF0622
Chapters:
0:00 - Introduction
2:56 - Course outline
25:36 - Course materials
35:16 - Course's websites
37:18 - Course evaluation
54:07 - What is optimization?
1:12:59 - Univariate and multivariate optimization
1:16:39 - Unconstrained and constrained optimization
1:24:14 - Optimization versus search
1:37:34 - Interior and boundary of set
1:41:36 - Convex set and convex hull
1:45:24 - Min, max, inf, sup
1:48:03 - Inner product