Lectures related to Counting: Basic Principles and Applications

Covers derivatives, chain rule, and composed functions with examples and applications.

Discusses local extrema of functions in two variables around the point (0,0).

Covers advanced optimization methods using Lagrange multipliers to find extrema of functions subject to constraints.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers the definition of applications, image of elements, and direct and reciprocal images.