Lectures related to Policy Gradient Methods: Multiple Time Steps

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

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

Explores derivability, continuity, and composite functions with illustrative examples.

Covers the derivative of the composition of two functions and its applications.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Explains the Jacobian matrix and derivative of composite functions with examples.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores the derivative of a function, covering rules for deriving sums, products, and quotients.

Explains partial derivatives, Hessienne matrix, and their properties.

Covers the calculation of a specific integral using properties of logarithmic functions.

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Introduces functions with real values, derivatives, and the Jacobian matrix, along with compound functions and variable change applications.

Covers the demonstration of the chain rule and the theorem of Rolle.

Explores invertible matrices, injective functions, and the theory of reciprocal functions.

Discusses the continuity of the derivative function and presents a counterexample of a function that is not necessarily continuous.

Covers the rules of derivation and how to calculate derivatives.