Goal and objectives of the course: The course Mathematical Methods and Models (MMM) aims to provide students with fundamental training in selected chapters of calculus with priority application in practice of the management of the tourism industry. The main tasks of the training course is designed to acquire the basic knowledge and skills in the application of mathematical methods in the field of linear algebra, analytic geometry, functions of a real variable integral and differential calculus in analyzing, forecasting and regulation of economic processes and phenomena a modern market economy. With the successful completion of the training course in MMM students can solve a wide range of theoretical and practical tasks used quantitative methods in the management of tourism. The course provides fundamental knowledge of students in mathematics, gives the relationship of the knowledge and skills to use modern methods of organization and management of tourism activities. For learning and successful learning process underlying the discipline, students need a solid background in mathematics, as well as of basic knowledge in economics, organization and management of the company's business in a market economy. The course has a practical focus and aims to demonstrate and apply fundamental mathematical approaches which are widely used in the development of computer models used. The consistent curriculum, the planned exercises and the system for monitoring and evaluation of knowledge and skills are based on these practical tasks.