Lectures related to Fractional calculus

Covers the derivation of geometric properties from spectral side functions.

Covers real functions, continuity, and differential calculus, including the intermediate value theorem and derivatives.

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

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.

Covers the applications and demonstrations of Rolle's Theorem in differential calculus.

Introduces and summarizes differential calculus, covering continuous functions, limits, differentiability, and tangent planes.

Covers the introduction to mechanics, historical figures, importance of experiments, and acceleration.

Covers continuously derivable functions on open intervals with continuous derivatives and examples of different derivative orders.

Explores partial derivatives in composing functions, continuity proofs, mean value theorem applications, and integral calculus implications.

Covers methods of demonstrations and differential calculus of functions of several variables.

Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.

Covers the calculation of volumes of solids using integration techniques and examples of solids of revolution.

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

Covers the existence and uniqueness theorem for Cauchy problems and explores global solutions of differential equations.

Covers the study of functions, focusing on convexity criteria within closed subintervals.