Lectures related to Extensional and intensional definitions

Covers the polar form of complex numbers and its applications in mathematical calculations.

Nonlinear Dynamical Systems: Key Concepts

Covers key concepts in nonlinear dynamical systems, such as existence, uniqueness, and continuous dependence of solutions.

Linear Algebra: Applications and Definitions

Explores linear algebra concepts, mappings between sets, unique element matches, and reciprocal functions.

Computer Science and Robotics

Covers the historical overview, basic concepts, and definitions of computer science and robotics.

Harmonic Oscillators: Definitions and Dynamics

Covers the definitions and dynamics of harmonic oscillators, including ladder operators and coherent states.

Hamiltonian Homeomorphisms on Surfaces

Explores the action of Hamiltonian homeomorphisms on surfaces and discusses related mathematical concepts.

Directional Derivative: Definitions and Examples

Covers the definition of directional derivative and provides illustrative examples.

Developable Surfaces and Parametrization

Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.

Advanced Analysis II: Functions in R²

Explores functions in R² with sets where x² + y² ≤ 1.

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Limits: Definition and Properties

Explores the definition and properties of limits, including uniqueness and the two gendarmes theorem.

Gaussian Curvature and Geodesics

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Introduction: Computing and Robotics

Provides a historical overview of computing and robotics concepts.

Endomorphisms and automorphisms of totally disconnected locally compact groups I

Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.

Science and religion: concordism

Explores the idea of accommodation between religion and science, discussing historical conflicts, diverse concordist forms, and international perspectives.

National Savings and Public Sector: Definitions and Examples

Explores the definitions of national savings and public sector savings, along with examples and explanations, while also providing details about the upcoming exam format and topics for future projects.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.