Lectures related to Derivability and Continuity

Limit in a Point: Definition and Examples

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

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

Continuity Definition: Epsilon and Delta

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

Differential Calculus: Definition and Derivability

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

Derivative of a Function: Tangent Equation

Explores finding tangent equations and slopes through derivatives.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Definition - Derivable

Covers the definition of a function being derivable at a point.

Developpements limités

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

Definition of Limit: Epaintec

Explains the definition of a limit and the concept of a pointed limit.

Derivative: introduction

Covers the definition of derivative, examples, Newton's quotient, and continuity.

Parametrization by Arc Length

Covers parametrization by arc length for representing curves with continuous differentiability.

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Uniqueness Results for Poisson Equation

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Limit of a Sequence

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

Optimal Transport: Cyclically Monotone Sets

Covers cyclically monotone sets in optimal transport theory and their properties.

Analyse II: Directional Derivative

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

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Green's Function: Theory and Applications

Covers the theory and applications of Green's function in solving differential equations.

Theorems of Continuity and Derivative Number

Explores the theorems of continuity and derivative numbers, including strict monotonicity and the Newton ratio.