Math

Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed. In the first part of our course we will be dealing with elementary combinatorial objects and notions: permutations, [...]

The purpose of this course is to equip students with theoretical knowledge and practical skills, which are necessary for the analysis of stochastic dynamical systems in economics, engineering and other fields.

Every day, almost every minute we make a choice. Right now you have made the choice to read this text instead of scrolling further. Choices can be insignificant: to go by tram or by bus, to take an umbrella or not. Sometimes they can be very significant and even [...]

Курс линейной алгебры для нематематических факультетов

Se repasan el concepto de primitiva, las primitivas (pseudo)inmediatas, cambio de variable, integración por partes e integral definida aplicada a cálculo de áreas.

Discover the derivative---what it is, how to compute it, and when to apply it in solving real world problems. Part 1 of 3. How does the final velocity on a zip line change when the starting point is raised or lowered by a matter of centimeters? What is the [...]

Scientists and engineers understand the world through differential equations. You can too. Differential equations are the language of the models we use to describe the world around us. In this mathematics course, we will explore temperature, spring systems, circuits, population growth, and biological cell motion to illustrate how differential [...]

En este curso se tratan los sistemas de ecuaciones, las matrices y cómo usarlas para resolverlos. En este curso se recordará lo que es una ecuación con una única incógnita y cómo solucionarla.