Mathematics

Project "PoMOOCny e-learning" POWR.03.01.00-00-W058/18 co-financed by the European Union under the European Social Fund, Operational Programme Knowledge Education Development 2014-2020, Priority Axis III. Higher education for economy and development, Measure 1.2 Competences in higher education.

The Mathematics course is designed for future and current WSB University students and high school graduates who are beginning their adventure with higher mathematics. Taking this course provides an introduction to the major areas of linear algebra and mathematical analysis and an understanding of the practical applications of algebra and analysis in finance, management, accounting, manufacturing engineering or simply in decision making.

PREREQUISITES

The only requirement is the knowledge of high school mathematics, in particular a good command of the four basic operations and the concepts of multiplication, square root and logarithm; or familiarity with the concept of function (in an intuitive sense, not necessarily in a theoretical sense). All you need to take the course is a personal computer (laptop) or smartphone with internet access and standard writing tools (notebook, pencil).

COURSE GOALS

Upon completion of the course the student will:
• be able to apply general knowledge of linear algebra and mathematical analysis to solve problems,
• be able to apply mathematical theories to practical examples in finance, management and economics,
• solve mathematical tasks creatively based on theory and examples,
• translate economic (and other) issues into mathematical language,
• avoid mistakes when solving mathematical tasks (through feedback and appropriately chosen false answers, the student learns to pay attention to the moments when it is easy to make a mistake),
• use developed computational skills (fast, logical thinking),
• use mathematical and algorithmic language by presenting his/her reasoning in a formal way: using mathematical and algorithmic language.

ISSUES DISCUSSED

Basic level

Linear algebra: matrices and systems of equations.

Analysis: sequences, series, functions, differential calculus and integral calculus.

Intermediate level

Linear algebra: matrices and systems of equations.

Analysis: sequences, series, functions, differential calculus and integral calculus.

COMPLETION RULES

Participation in the pretest is required to complete the Mathematics courseand. It is also required to have 50% correct answers in the 2 final tests of the basic and intermediate levels. It is also recommended that you complete at least 30% of the tasks in all basic and intermediate level.

Detailed conditions:

1. A pretest approach is required to access basic level resources, regardless of the outcome.
2. A minimum of 50% correct answers on the basic level posttest is required to access the intermediate level. It is possible to take each task from this posttest three times. The posttest score has a 5 percent impact on your final grade.
3. In the intermediate level posttest, it is also possible to attempt each task from the posttest three times. The score of the intermediate level posttest has a 95 percent impact on the final grade.

REQUIRED LEARNING TIME

If the participant spends 3 hours a week solving the problems, he will finish one level of the course in 10 weeks (which is 20 weeks for the entire course if solving problems from both levels), and if he spends 6 hours a week, the time needed to complete the level will be twice as small.

CONDITIONS FOR OBTAINING A CERTIFICATE

To receive a certificate it is required to participate in the pretest. It is also required to to have 50% correct answers in the 2 final tests of the basic and intermediate levels.

COURSE STAFF

Tomasz Witczak

A graduate (2011) of the University of Wrocław in the field of Mathematics (specialization: mathematics in economics and insurance). Since 2014, a doctoral student at the Faculty of Mathematics, Physics and Chemistry (Faculty of Exact and Technical Sciences) of the University of Silesia. Specialty: semantics of non-classical logics. Author of about 100 popular science articles on financial mathematics, multi-criteria analysis and statistics; he conducted classes with students of the University of Silesia and the WSB University.

CONTACT WITH THE LECTURER

If you have any questions for the lecturer or comments about the course, please contact the course administrator, Mr. Wiktor Grzejdziak, at wgrzejdziak@wsb.edu.pl.