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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 the derivative of a...

Rings and fields

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

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 obtain this solution by...

Algebra questions with answers

In this post, we give selected algebra questions with answers. The exercises focus on group theory and arithmetic. In fact, these types of algebra...

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 engineers because most systems...

Exercises on polynomials

We offer exercises on polynomials with detailed proofs. In fact, our goal is to show the student how to calculate the greatest common divisor...