Educational and Methodological Manual . Tomsk: Tomsk Polytechnic University, 2007. -105 s. This part of the manual discloses the basic information on the work in the package Mathematica of Wolfram Research recognized leader in the development of packages of analytical mathematics. Program interface. Using the Mathematica package as a simple calculator. Using the package as an engineering calculator. Finding the Roots and Solving the Equation Systems . Extended work with cells. Basic Data Types of Mathematica Package. Creating lists. Working with vectors and matrices. Expanded work with lists. Symbolic calculations. Operations of mathematical analysis. Working with lists. Solution of differential equations and systems of differential equations