Lectures related to Derivatives and Jacobian Matrix

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Real Numbers: Sets and Operations

Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.

Natural Logarithm: Definition and Properties

Delves into the definition, geometric interpretation, and properties of the natural logarithm, including its continuity and behavior as x approaches infinity or zero.

Interior Points and Convergence

Explains interior points, convergence of sequences, and the dense property in real numbers.

Derivative Chain Rule

Covers the derivative of the composition of two functions and the chain rule theorem.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Continuity Definition: Epsilon and Delta

Covers the definition of continuity at a point using epsilon and delta.