Lectures related to Transformations Affines

Mathematical Analysis: Functions and Composition

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

Covers the properties and operations of convex functions.

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.

Graphical Definition: Level Sets and Domains

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

Functions and Integers

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

Real Functions: Graphs and Properties

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

Mathematics: Analysis and Algebra Overview

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

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.

Tangent to Graph of a Function

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

Functions: Real Numbers and Graphs

Covers functions of real numbers, graphing, and affine functions.

Exponential Family

Covers the concept of the exponential family and discusses forward and backward maps, expensive computations, parameters, functions, and convexity.

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Real Functions: Definitions and Properties

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

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Function Properties: Injective, Surjective, Bijective

Explains injective, surjective, and bijective functions using examples and graphs.

Continuity and Fixed Points: Understanding Functions

Explores continuity, fixed points, and bijective functions in graphs.

Harmonic Oscillations: Graphs

Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.

Real Functions of Two Real Variables

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

Functions in R^n to R

Explores functions from R^n to R, focusing on graph correspondence and deficiency analysis.