Restriction, Prolongement et Graphe d'une Fonction

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Related lectures (53)

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

Graph and Diagonal

Discusses the graph of a relation and the concept of separation.

Graph Algorithms: Modeling and Traversal

Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.

Linear Algebra: Matrices and Linear Applications

Covers matrices, linear applications, vector spaces, and bijective functions.

Stein Algorithm: Polynomial Identity Testing

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

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Shortest Path Algorithms: BFS and Dijkstra

Explores Breadth-First Search and Dijkstra's algorithm for finding shortest paths in graphs.

Properties of X/G

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Derivative: Application Examples

Explores examples of using derivatives to find tangent lines and points on graphs.

Real Functions: Graphs and Properties

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

An Example: Graph of a Function MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Analyzes a function's graph, discussing local and global extrema and concavity intervals.

Graphical Models: Representing Probabilistic Distributions

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.

Equation of Tangent Hyperplane

Explores finding the equation of a tangent hyperplane to a function and its implications.

Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Minimum Spanning Trees: Prim's Algorithm

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Real Functions: Definitions and Properties

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

Mathematical Analysis: Functions and Composition Log in to Mediaspace to watch this video

Covers the analysis of functions, composition, and mathematical induction.

Riemann Integral: Subdivisions and Volumes Log in to Mediaspace to watch this video

Covers the concept of Riemann integral and volume calculation of closed pavements.

Graphical Definition: Level Sets and Domains Log in to Mediaspace to watch this video

Covers the graphical definition of functions, focusing on level sets and domains.

Advanced Analysis II: Tangent Plan and Differentiability Log in to Mediaspace to watch this video

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

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