Mathematics

This course offers an approachable learning experience for acquiring or reviewing fundamental math concepts and skills crucial in economic, social, and computing sciences. The course aims to equip students not only with the essential mathematical knowledge needed for their disciplines but also for applications in IT and computing sciences. It provides a foundational understanding of how mathematical theories are constructed, exploring various mathematical fields and emphasizing their practical applicability.

Throughout the course, students learn the nature and processes of mathematical thinking, covering inductive, deductive, and algorithmic reasoning. Topics include mathematical notation, basic set theory, mathematical logic, functions, limits, continuity, differential and integral calculus in several variables, linear algebra, and topology. Each topic is illustrated with historical paradoxes and renowned theorems, demonstrating applications and showcasing the identification of mathematical tools to solve complex spatial problems. This comprehensive approach ensures a consistent integration of theoretical understanding and practical application throughout the course.