Lectures related to Homotheties and Translations

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Real Functions: Graphs and Properties

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

Properties of Functions

Covers the properties of functions, including symmetry, continuity, and limits.

Functions and Periodicity

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

Global Conservation Laws

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Relations and Sequences

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Scalar Product: Geometric Properties

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Mathematics: Functions and Series

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Symmetry in Functions: Definitions and Examples

Explores the definition of pantéch functions and symmetry in functions, including even and odd functions.

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

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.

Definitions and Notations

Covers the definitions and notations related to functions.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Real Functions of a Real Variable

Covers the terminology and conventions of real functions of a real variable.

Functions on R^n: Limits and Partial Differentiation

Delves into functions on R^n, covering limits and partial differentiation.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Application to Recurrence Defined Sequences

Covers the application of functions defined by recurrence to sequences and the theorem of the fixed point.

Mathematical Analysis: Functions and Composition

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

Projections and Symmetries

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.