The purpose of this unit is to build on the mathematical knowledge acquired during high school. Complex numbers, matrices, limits, functions of one and several variables, derivatives, integrals, differential equations, and others are considered. Mastering these mathematical techniques is particularly important for further study, as they are the main way to describe the processes and phenomena studied in the fundamental and specialized units.
“Most often, the rate of a chemical reaction is determined by an experiment in which the change in the concentration of substances with time is measured, i.e., their derivative. To be able to determine how the concentration changes with time after a few days (without you needing to spend several days in the laboratory), you need to derive a functional dependence of the concentration with time. This is possible by solving a differential equation.”