Maximal solution to Cauchy problems
The maximal solution to Cauchy’s problems is a solution that gives full information on the physical model. In fact, we ...
Algebra questions with answers
In this post, we give selected algebra questions with answers. The exercises focus on group theory and arithmetic. In fact, ...
Delay equations in Banach spaces
The delay equations are an important class of differential equations. In fact, these equations are studied by both mathematicians and ...
Exercises on polynomials
We offer exercises on polynomials with detailed proofs. In fact, our goal is to show the student how to calculate ...
How to calculate integrals?
We show you how to calculate integrals using elementary methods. In addition, we teach you to study the properties of ...
First-order differential equations
We discuss some facts about first-order differential equations for beginners. Such equations are important because many problems in our real ...
Cauchy Lipschitz theorem for differential equations
In this article, we state and prove the Cauchy-Lipschitz theorem for the existence and uniqueness of solutions to nonlinear ordinary ...
Binomial coefficients
We show how Binomial coefficients help simplify expressions. We notice that these coefficients are heavily used in probability calculus. On ...
Complex Numbers: Introduction
Complex numbers are a fundamental concept in mathematics that extends the realm of real numbers. They are composed of a ...
How to use mathematical induction?
We teach you how to use mathematical induction to prove algebraic properties. This technique is very useful and simple to ...
Learn advanced Mathematics
In this article, we show a list of courses to learn advanced mathematics. Although, We offer tips and techniques that ...
Elementary Mathematics: an overview
Elementary mathematics refers to courses in categories of numbers, inequalities, algebraic equations, calculus-like sequences, functions, integrals, and differential equations. If ...