Improper integral exercises
We offer a selection of improper integral exercises with detailed answers. Our main objective is to show you how to ...
Functions defined by integrals
We propose exercises on functions defined by integrals. We mainly prove the regularity of such a function, like continuity and ...
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 ...