Lectures related to Untitled | EPFL Graph Search

Natural Numbers

Covers the concept of natural numbers, including properties like commutativity and associativity.

Polynomials: Operations and Properties

Explores polynomial operations, properties, and subspaces in vector spaces.

Linear Combinations and Vector Spaces

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Matrix Algebra: Addition, Scalar Multiplication, Transpose

Introduces matrix algebra operations and their properties, including commutativity and distributivity.

Subtraction: Properties and Definitions

Covers the properties and definitions of subtraction using addition and multiplication as a basis.

Modular Arithmetic: Introducing Z/mZ

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Vector Spaces: Definition, R2

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Linear Algebra: Matrices and Operations

Covers the basics of linear algebra, focusing on matrices and operations.

Matrix Multiplication

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Understanding Equivalence Relations and Integer Construction

Covers the construction of integers through equivalence relations and their properties in mathematics.

Linear Equations and Matrices: Solution Methods, Elementary Operations

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Modular Arithmetic: Operations and Polynomials

Covers modular arithmetic operations and polynomial calculations modulo N with various examples.

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Vector Spaces: Definitions and Properties

Covers the definitions and properties of vector spaces, including axioms and examples.

Linear Algebra in 3D: Matrices and Determinants

Covers linear algebra in three dimensions, focusing on matrices and determinants.

Rational Numbers: Definitions and Operations

Covers the definition and operations involving rational numbers.

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Polynomial Applications: Combinatorial Computations

Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.

Analyse 2: Division euclidienne

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.