Watch A Course In Elementary Set Theory

A Course in Elementary Set Theory is a series of online lectures available on the website Mathsensed.com. The course covers the basics of set theory, including definitions, properties, and operations on sets. The course is designed for anyone with an interest in mathematics, from beginners to advanced students.

The course is divided into several sections, each covering a specific topic in set theory. The first section introduces students to the concept of sets and how they are defined. The instructor discusses the various ways in which sets can be represented, including using lists or using set-builder notation.

The second section of the course covers set operations, including union, intersection, and complement. The instructor provides examples of how these operations work and how they can be applied to solve problems.

The third section of the course focuses on functions and relations. Students learn about the definition of functions and how they can be used to relate elements of different sets. The instructor also covers the concept of equivalence relations, which are important in many areas of mathematics.

The fourth section of the course covers cardinality and countability. Students learn how to compare the sizes of different sets and how to determine if a set is countable or uncountable. The instructor provides examples of each concept and how they are used in set theory.

The final section of the course covers topics in advanced set theory, including set theory in topology and algebraic set theory. The instructor discusses the relationship between sets and topology, and how set theory is used in algebraic structures such as groups and rings.

Throughout the course, the instructor provides examples and exercises to help students understand the material. The course also includes quizzes and a final exam to test students' understanding of the concepts covered.

Overall, A Course in Elementary Set Theory is a comprehensive introduction to the fundamentals of set theory. The course is suitable for anyone with an interest in mathematics, from beginners to advanced students. The instructor provides clear explanations and examples to help students understand the material, and the quizzes and exams provide opportunities for self-assessment.