Lectures related to Graphical Basics: MATLAB and Octave for Beginners

Level Curves and Graph Sketching

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

Tangent to Graph of a Function

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

Graph Theory Fundamentals

Explores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.

Real Functions of Two Real Variables

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

Model Extension and Composition of Functions

Explores model extension, function composition, graph uniqueness, and mathematical induction principles.

Transformations Affines

Covers the concept of affine transformations in functions, including shifting and compressing functions.

Mathematical Analysis: Functions and Composition

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

Functions and Integers

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

Graph and Diagonal

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

Statistical Analysis of Network Data: Structures and Models

Explores statistical analysis of network data, covering graph structures, models, statistics, and sampling methods.

Graphical Concepts in Matlab/Octave

Explores plotting 2D graphs, handling errors, creating bar charts, and visualizing vector fields in Matlab/Octave.

Terminologie: Functions Graph Discussion

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

Convex Functions

Covers the properties and operations of convex functions.

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.

Expander Graphs: Properties and Eigenvalues

Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

Graphical Definition: Level Sets and Domains

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

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Cayley Graphs: Properties and Applications

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

Shortest Path Algorithms: BFS and Dijkstra

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