Lectures related to Graph and Diagonal

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

Mathematical Analysis: Functions and Composition

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

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Tangent to Graph of a Function

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

Belief Propagation: Key Methods and Analysis

Covers Belief Propagation, a key method for both analysis and algorithm.

Real Functions of Two Real Variables

Explores real functions of two real variables, illustrating domains, images, and graphs.

Cayley Graphs: Properties and Applications

Explores the properties and applications of Cayley graphs in group theory and network analysis.

Stein Algorithm: Polynomial Identity Testing

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

Shortest Path Algorithms: BFS and Dijkstra

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

Restriction, Prolongement et Graphe d'une Fonction

Explains the relationship between two functions through restriction and prolongation, emphasizing the importance of defining a function by its graph.

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Graph Algorithms: Modeling and Traversal

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

Derivative: Application Examples

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

Advanced Analysis II: Tangent Plan and Differentiability

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

An Example: Graph of a Function

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

Terminologie: Functions Graph Discussion

Covers the terminology related to the graph of a function and intervals.

Equation of Tangent Hyperplane

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

Minimum Spanning Trees: Prim's Algorithm

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

Level Curves and Graph Sketching

Explains level curves and graph sketching for functions of multiple variables.