Lectures related to Dynamics on homogeneous spaces and interactions with number theory

Explores stable laws, limit theorems, and random variable properties.

Power Series Functions: Logarithm and Exponential

Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.

Taylor Polynomials: Examples and Convergence

Covers examples of Taylor polynomials and discusses their convergence when approximating functions.

Limit of a Sequence

Simplifies limit calculations by applying properties of logarithms and exponentials.

Differential Calculation: Trigonometric Derivatives

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Advanced Physics I: Angular Momentum

Explores angular momentum, central forces, and gravitational theory, including Kepler's laws and Newton's approach.