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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 a part of some...
Vector spaces exercises
We provide vector spaces exercises with detailed answers. Such spaces are natural in mathematics in which we can manipulate computation using the structure of...
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...