The course is the basic study of limits and continuity, optimization, and graphing. We learn differentiation and integration of elementary functions, with emphasis on applications in business, economics, and social sciences.

### Did you know

Did you know that the combined risk of two assets considered separately is not the same as the risk of two assets together? More specifically, two securities of the same type do not carry the same risks as two different types of financial instruments. It is Markowitz’s theory. If you would like to understand that you must understand matrix operations. For every n×n matrix A, there is something called determinant detA satisfies the rule called Laplace expansion. Yes, you should know something about that. That is just the basics to become a great player on the stock exchange or as a business analyst the great supporter of those who will play. Mathematics is everywhere, not only in portfolio theory but in everyday life and business.

### The program

In the calculus course students learn the basics of probability theory and the distribution of random variables. They study the basics of matrix algebra and their applications in market models. Students are introduced to the concepts of functions of one and multiple variables and associated elements of mathematical calculations.

We teach not only theory and basics, but we also emphasize and explain the practical role of mathematics in economics and sciences. Therefore, students train skills for operational application of mathematics in business optimization, marketing, and management support.

Students use the methods of matrix calculus in modeling of economic phenomena as well as application of the probability principles to solve analytical problems. Students perform the optimization of business processes using functions of one and many variables. They approach problems of the theory of enterprise choice and market organization using elements of differential calculus.

In this course, students learn how to create, test, and improve mathematical models using the R programming language. As the labs progress, students are encouraged to explore beyond what the labs dictate; a willingness to experiment will make you a much better business analyst.

Finally, students are equipped not only with professional analytical competences, but also in social skills, self-organization, ability to independent thinking and effective teamwork.

### The professor

The profesor of calculus is Anna Tatarczak. Profesor Tatarczak is experienced in research and teaching. She has is not only a great mathematician, but she also participated in several courses related to data analysis and project management. Profesor Tatarczak’s scientific work oscillates around issues related to statistics and econometrics, supply chain management and decision analysis. She has given lectures at many universities and conferences around the world. She is also the author of numerous research papers devoted to the use of quantitative methods in management. She was the principal investigator in several research projects in mathematics, statistics, and logistics.