The manual describes numerical methods of algebra, the theory of approximation of functions and the solution of ordinary differential equations. Each section contains detailed solutions to typical examples, as well as tasks with economic content. Various methods for implementing the described algorithms in MathCAD and MATLAB computer mathematics systems are presented. The textbook is written in accordance with the requirements of the Federal State Educational Standard of Higher Education of the latest generation. For students of economic specialties of universities of full-time, correspondence and distance learning, as well as for students of universities receiving education in the areas (specialties) of natural sciences, technology, technology and computer science (qualification (degree) "bachelor" and "master").