Lectures related to Definition

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Limit in a Point: Definition and Examples

Covers the concept of limit in a point with definitions and examples.

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

Newton's Binomial and Real Sequences

Explores Newton's binomial theorem and real sequences with examples and definitions.

Analyse II: Directional Derivative

Covers the concept and calculation of directional derivatives in multivariable calculus.

Complex Numbers: Polar Form

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

Linear Algebra: Applications and Definitions

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

Partial Derivatives: Higher Order and Applications

Covers the concept of partial derivatives of higher order and their applications in various contexts.

Integer Cones

Covers the concept of integer cones and Carathéodory's theorem with illustrative examples.

Limits: Definition and Properties

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

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Plasma State: Properties and Effects

Covers the definition and properties of plasma, including ionization and collective effects.

Convergence of Sequences

Covers the convergence of sequences and how to calculate limits for convergent sequences.

Continuity Definition: Epsilon and Delta

Covers the definition of continuity at a point using epsilon and delta.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Partial Derivatives and Functions

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Developpements limités

Explains the definition and uniqueness of developments limites for continuous functions on open intervals.

Linear Algebra: Surjections

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.