Articles By

Hadd

Improper integral exercises

We offer a selection of improper integral exercises with detailed answers. Our main objective is to show you how to ...
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Functions defined by integrals

We propose exercises on functions defined by integrals. We mainly prove the regularity of such a function, like continuity and ...
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Subgroup of a group

We study the properties of a subgroup of a group. We mention that group theory is an important part of ...
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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 ...
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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 ...
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Vector spaces exercises

We provide vector spaces exercises with detailed answers. Such spaces are natural in mathematics in which we can manipulate computation ...
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Parameter dependent integral

Parameter-dependent integral is studied in this article. We propose a selection of exercises on continuity, limit, and differentiability of such ...
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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 ...
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Recurring sequences exercises

Recurring sequences are generally involved in the modeling of discrete systems. In fact, such sequences replace the differential equation by ...
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Convergence of sequences

We discuss the convergence of sequences and how to calculate the limit of a sequence. This subject is fundamental in ...
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Exercises on differential calculus

We offer exercises on differential calculus with detailed answers. In fact, our objectives are as follows: knowing how to calculate ...
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Rings and fields

In this post, we learn about rings and fields. These are part of the usual algebraic structure. We mention that ...
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