Subgroup of a group
We study the properties of a subgroup of a group. We mention that group theory is an important part of ...
How to find the limit of a function?
We propose simple techniques to learn you how to find the limit of a function. We first recall what a ...
Learning basic to advanced math
We offer practical tips for learning basic to advanced math. Above all, mathematics is a difficult and abstract subject, while ...
Vector spaces exercises
We provide vector spaces exercises with detailed answers. Such spaces are natural in mathematics in which we can manipulate computation ...
Parameter dependent integral
Parameter-dependent integral is studied in this article. We propose a selection of exercises on continuity, limit, and differentiability of such ...
Exercises on convex functions and applications
In this article, we offer exercises on convex functions. In fact, our objectives are: to be able to show that ...
Recurring sequences exercises
Recurring sequences are generally involved in the modeling of discrete systems. In fact, such sequences replace the differential equation by ...
Convergence of sequences
We discuss the convergence of sequences and how to calculate the limit of a sequence. This subject is fundamental in ...
Exercises on differential calculus
We offer exercises on differential calculus with detailed answers. In fact, our objectives are as follows: knowing how to calculate ...
Rings and fields
In this post, we learn about rings and fields. These are part of the usual algebraic structure. We mention that ...
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, ...