In the book are offered the computing algorithms of the solution of the most widespread and important tasks of applied mathematics and their program realization as standard modules. All materials are distributed in ten chapters of this book in accordance with their belonging to the appropriate divisions of mathematics. Different algorithms of the solution of the same tasks are given in the items united into paragraphs devoted to the solution of appropriate problems. At the end of each item is given the name of the appropriate program unit and a short description of the possibilities for its use. In the final, tenth chapter, with the purpose of the practical use of the elaborated program modulus, are given the descriptions of the package content and the structure, different functional dependence construction programs and the method of usage of the program modulus. At the end of the book there are given three appendices: A, B and C. In Appendix A are represented the obtained formulae and theorem proofs; in Appendix B are given program realizations of the formulae and algorithms, and in Appendix C are given the designations used in the book.