Lectures related to Equation of Tangent Hyperplane

Tangent to Graph of a Function

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

Mathematical Analysis: Functions and Composition

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

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Derivative: Application Examples

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

Graph and Diagonal

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

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.

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.

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.

Functions and Integers

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

Graphical Definition: Level Sets and Domains

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

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Implicit Functions Theorem

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

Terminologie: Functions Graph Discussion

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

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.

Graph Algorithms: Modeling and Traversal

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

Level Curves and Graph Sketching

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

Properties of X/G

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