Bachelor 2025/2026

Calculus

Type: Compulsory course (International Programme in Economics and Finance)

Delivered by: International College of Economics and Finance

When: 1 year, 1, 2 semester

Open to: students of one campus

Instructors: Pavel Zhukov

Language: English

Course Syllabus

Abstract

Calculus allows one to answers two basic questions: how fast something is changing (via calculating derivatives) and how much of something is accumulated (via calculating integrals). Calculus permits the computation of instantaneous rates of change (for example, velocities) by a limiting procedure called differentiation. The same procedure is also used to solve optimization problems: how to maximize profits or how to minimize losses. A second limiting procedure, called integration, permits the computation of areas, volumes, probabilities, or income accumulation. The Fundamental Theorem of Calculus is a kind of miracle that connects the two key procedures – differentiation and integration. Since both of them are limiting procedures, Calculus begins with a study of limits. This course will also solve equations involving derivatives – differential equations – for population growth or epidemic spread. Exponential, logarithmic, trigonometric, and inverse trigonometric functions will play an important role in all parts of the course. Calculus lays down the foundation for the block of quantitative disciplines that are studied at ICEF. It also develops analytical tools that are required in intermediate and advanced microeconomics courses. Calculus is studied and taught in English.