Parameter dependent integral
Parameter-dependent integral is studied in this article. We propose a selection of exercises on continuity, limit, and differentiability of such parametric integrals. Some known...
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 a function is convex;...
Recurring sequences exercises
Recurring sequences are generally involved in the modeling of discrete systems. In fact, such sequences replace the differential equation by discretizing the time variable.
To...
Convergence of sequences
We discuss the convergence of sequences and how to calculate the limit of a sequence. This subject is fundamental in real analysis because many...
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...
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...
