Lectures related to Multiplication table

Inverse Element for Multiplication

Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.

Polynomials: Operations and Properties

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

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Microwave Circuit Characterization: Flow Charts and Reduction Rules

Covers circuit characterization using flow charts and reduction rules.

Element Inverse for Multiplication

Covers the concept of element inverse for multiplication in complex numbers.

Natural Numbers

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

Definition of Complex Numbers Field

Introduces complex numbers and defines their field, emphasizing properties and operations.

Complex Numbers: Operations and Applications

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

Rational Numbers: Definitions and Operations

Covers the definition and operations involving rational numbers.

Algebraic Operations

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.

Linear Algebra: Matrices and Operations

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

Modular Arithmetic: Operations and Polynomials

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

Subtraction: Properties and Definitions

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

Division: Properties and Quotient

Explores the properties of division in natural numbers and its relation to multiplication.

Linear Algebra in 3D: Matrices and Determinants

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

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.

Element by element operations

Covers element by element operations in MATLAB and Octave for beginners.

Analyse 2: Division euclidienne

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

Complex Numbers and 2x2 Matrices

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Polynomial Applications: Combinatorial Computations

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