17.01.2022
Oleksandr Dryuk, a graduate of the Kharkiv National University of Radio Electronics, prepared and read an author’s course of 10 lectures: “Mathematical Thinking”. The course was held during the autumn semester for students of 9-10 grades of physical and mathematical profile of the regional boarding school Lyceum “Giftedness”. The lecture course was prepared in order to form a holistic systematic approach to the study of mathematics and with the support of the coordinator for work with particularly gifted youth Alexander Vechur.
Course topics:
Lecture 1. What is science? Criteria of science. How is science different from “non-science”?
Lecture 2. Why do we need science? Why is mathematics the “queen of science”? Why do non-scientists need mathematics?
Lecture 3. When and how did mathematics? The first mathematical ideas. Mathematics in ancient states.
Lecture 4. Development of mathematics in ancient Greece. Mathematics in ancient Rome. Mathematics after the fall of ancient Rome.
Lecture 5. Mathematics of the Islamic Middle Ages. Mathematics of Medieval Europe. Mathematical thinking and basic cognitive errors.
Lecture 6. Basic mathematical ideas of the XVII century. Basic concepts of probability theory. Mathematical thinking and basic cognitive errors (continued)
Lecture 7. Basic mathematical ideas of the XVIII century. Basic concepts of mathematical analysis.
Lecture 8. Development of mathematics in the XIX century. Basic concepts of linear algebra.
Lecture 9. Basic mathematical ideas of the XIX century. Basic concepts of logic algebra. Basic concepts of set theory.
Lecture 10. Review of mathematical events of the XX century. Basic concepts of graph theory. Basic concepts of optimization theory. Review of modern mathematical problems.
