Bachelor
2021/2022
Calculus
Type:
Compulsory course
Area of studies:
Economics
Delivered by:
International College of Economics and Finance
When:
1 year, 1-4 module
Mode of studies:
offline
Open to:
students of one campus
Instructors:
Деркач Мария Михайловна,
Сорокина Антонина Михайловна,
Alexey Akhmetshin,
Victor A Lapshin,
Peter Lukianchenko,
Anatoly Evgenievich Patrik,
Pavel Zhukov
Language:
English
ECTS credits:
9
Contact hours:
136
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.
Learning Objectives
- Levelling up the mathematical and analytical capabilities of students coming from different secondary schools and having different educational backgrounds.
- Building a foundation for the block of quantitative disciplines studied at ICEF.
- Developing analytical tools required for intermediate and advanced microeconomics courses.
- Developing student's analytical skills, logical reasoning, critical thinking and attention to detail.
Assessment Elements
- Written Mock examination - Fall
- Written examination - WinterOnline format.
- Written Mock examination - Spring
- Written examination - Summer (ICEF International Exam)
Interim Assessment
- 2021/2022 2nd module0.425 * Written Mock examination - Fall + 0.575 * Written examination - Winter
- 2021/2022 4th module0.19 * Written Mock examination - Spring + 0.41 * Written examination - Summer (ICEF International Exam) + 0.4 * 2021/2022 2nd module
Bibliography
Recommended Core Bibliography
- Calculus early transcendentals, Stewart, J., 2012
Recommended Additional Bibliography
- Anton, H., Bivens, I. C., & Davis, S. (2016). Calculus (Vol. 11th ed). New York: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1639210
- Сборник задач и упражнений по математическому анализу : учеб. пособие для вузов, Демидович, Б. П., 2003