Lectures related to Lyapunov Functions: Construction and Properties

Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.

Green Functions: Theory and Applications

Explores the theory and applications of Green functions in classical electrodynamics, emphasizing the importance of choosing the right function based on boundary conditions.

Curves in the Oriented Plane

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

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Generalized Integrals: Type 2

Covers the integration of limit expansions and continuous functions by pieces.

Dynamical Systems: Equilibrium Points and Stability

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Continuous Functions: Integrability and Examples

Explores continuous functions and integrability through practical examples.