The manual contains a consistent and systematic account of actuarial practice proven methods of calculation of tariff rates, life insurance reserves. The methods of forming net and gross premiums, changes in the reserve during the operation of the insurance policy for the various types of long-term insurance are discussed in detail.The book is based on the part of lecture course and seminar materials that the authors have been delivering for a few years at the Faculty of Economics of Lomonosov Moscow State University at the elective course "Actuarial methods". The uniqueness of the publication and its main advantage is that in additional theoretical material it provides solutions to many problems of actuarial mathematics.
The book is designed for the students of economic and mathematical departments of universities and individuals using actuarial calculations in their work.
The textbook is intended for students who begin to study mathematical logic. It can also be used in self-education. The book emphasizes the algebraic aspects of the propositional calculus of classical and intuitionistic logics. It gives a detailed description to methods of characterization of formulas in propositional logic, Hilbert calculus, a system of natural deduction and calculus of sequents for the calculus of propositions. The work gives a corresponding metatheory for each of the three systems and considers semantic methods of formulas characterization (E. Bet's tables, S. Kripke's semantics of possible worlds). The manual contains a large number of examples, allowing the reader to easily master the concepts introduced.
The publication is devoted to theoretical and practical aspects of the subject of ‘Differentiation of One-Variable Function’, which is studied in the first and partially second terms in the first-year-course of mathematical analysis. It is based on the authors’ experience of reading lectures and conducting practical classes at the faculty of computational mathematics and cybernetics, Moscow State University.
The manual contains three chapters, the first of which is devoted to general theoretical aspects. This chapter contains basic concepts and facts related to the differentiation of functions, as well as some examples of the use of derivatives for solving various problems. The second chapter outlines the general scheme for investigating the function and constructing its graph, and gives recommendations on how to solve problems on finding the maximum (minimum) value of a function on a given set. It also shows some examples of the study of functions and the construction of their graphs, as well as an example of solving an applied problem for finding the maximum value of a function. The third chapter contains tasks (with solutions) for all the sections under consideration. Some of them are analyzed in the manual text while the others are designed to be solved on one’s own. For the second group of tasks, the answers and solutions are given at the end of the book in the corresponding section. The purpose of this manual is to help the student to learn the theoretical part and acquire practical skills in solving problems on the subject of ‘Differentiating a one-variable function’.
For university students. The publication can be useful for teachers who give lectures and conduct practical classes in mathematical analysis and all those who wish to study these subjects on their own or learn more about them.
The aim of this manual to deepen and consolidate students’ knowledge gained during their lectures and seminar classes and to develop their creative and analytical skills on the subject of the ‘Economics of Innovation’ discipline. Given that the project is to be done by graduate students and to be of a general nature, its successful implementation also requires mobilization of the previous knowledge and experience, which was gained by studying other disciplines, too.
For MSU students studying at seminars and on their own in the ‘Economics of Innovation’ course.
The basic terms on entrepreneurship, the history of its development and practical situations are considered in this guide. Various tutorial resources with the use of records by Russian and foreign companies are given on each topic: problems, tests, cases, advancement questions, etc. The book is intended for students of Lomonosov Moscow State University’s Faculty of Economics.