SAS education educational model majors course catalogue faculty

Mathematical Analysis in Economics

The course “Mathematical Analysis in Economics” constitutes the methodological foundation for the entire block of quantitative disciplines in modern economic education. Within the framework of this course, a transition is made from descriptive and qualitative accounts of economic phenomena to their rigorous formalisation, quantitative analysis, and verification. The discipline is intended to demonstrate that mathematical apparatus is not an end in itself but a universal language and the most powerful toolkit for understanding the deep‑seated patterns that govern the behaviour of economic agents and the functioning of market systems in various regions and countries.

It is expected that, during the course, students will develop skills in analysing functional dependencies (marginal productivity, utility, elasticity), investigating extrema for optimisation problems, applying integrals to compute accumulated effects (consumer and producer surplus), and analysing differential equations in economic growth models.

The main goal of the course is to develop students’ analytical thinking and equip them with the tools of mathematical analysis for formalising, researching, and solving theoretical and applied economic problems. Achieving this goal involves addressing the following key tasks:

  • Ability to translate existing economic problems into precise mathematical models: the student will be able to formalise any business task, from pricing to logistics.

  • Finding optimum points: students will learn to provide well‑grounded recommendations for maximising profit, revenue, and minimising company costs.

  • Assessing elasticity and market response: students will be able to predict how a price change will affect demand and how tax policy will impact consumer behaviour.

  • Understanding the language of modern economics: students will be able to produce and comprehend professional analytical reports and studies from leading global banks.

  • Creating forecasts: students will master basic models for predicting the dynamics of economic indicators of regions and countries over time.

    • Each lecture and seminar involves the analysis of real‑world economic cases: the behaviour of monopolies, consumer choice, the implementation of tax policies in different countries, and investment decisions.

    professor
    contact hours
    48
    ECTS
    4