Outlines the basics of using mathematical methods, modern computing tools (Mathcad, Maple, Mathematica, SMath, etc.) and the Internet to solve typical problems of mathematics, physics, chemistry and other school and university disciplines. The problems under consideration touch upon the issues of solving equations (algebraic, differential, integral), programming, statistics, image processing, cryptography, solving puzzles, creating animations of kinematic and dynamic objects, fuzzy logic, fuzzy sets, optimization, etc.