Математика

Бакалавриат 2024/2025

Статус: Курс обязательный (Международный бизнес)

Направление: 38.03.02. Менеджмент

Кто читает: Департамент математики

Где читается: Высшая школа бизнеса

Когда читается: 1-й курс, 1, 2 модуль

Формат изучения: без онлайн-курса

Охват аудитории: для своего кампуса

Преподаватели: Мячин Алексей Леонидович

Язык: английский

Кредиты: 6

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Abstract

The course belongs to the core block of mathematical and natural sciences within bachelor training and introduces students to the foundations of calculus as a central discipline of modern mathematics. It is accessible to students with a standard secondary school background, yet systematically expands their mathematical culture and strengthens the ability to work with abstract concepts and precise formal reasoning. The ideas and methods studied here constitute the groundwork for a number of advanced subjects, including Probability Theory and Mathematical Statistics, Econometrics, Modeling in Management, Optimization Techniques, as well as Quantitative and Qualitative Approaches to Decision-Making. At the same time, calculus itself is not only an auxiliary tool but also a universal framework for describing variability, modeling continuous processes, and solving optimization problems in economics, engineering, and the natural sciences. A distinctive feature of the discipline is its dual orientation: on the one hand, it develops conceptual understanding and rigorous proofs, while on the other, it trains practical application of differential and integral methods. Special emphasis is placed on forming mathematical intuition, the ability to reformulate real-world problems in analytical terms, and the skill of applying calculus techniques to both theoretical and applied contexts.

Learning Objectives

Мastering the theoretical foundations of differential and integral calculus, as well as introductory elements of multivariable analysis.
Developing skills in rigorous mathematical reasoning, the construction of proofs, and the formulation of logically sound conclusions.
Acquiring optimization techniques and analytical methods for investigating functions and continuous processes.
Learning to apply the acquired knowledge to problems in economics, management, engineering, and the natural sciences.
Fostering the ability to translate real-world problems into mathematical form and to employ the apparatus of calculus for their solution.