Universal Covering: Basics

Related lectures (31)

Page 2 of 4

Covers the basics of real analysis, including limits, sequences, and continuous functions.

Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.

Covers inf/sup, integral part of real numbers, and density of rational numbers.

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

Discusses Cauchy sequences, sub-sequences, and numerical series with parameters.

Introduces the course content by linking familiar mathematics with upcoming topics.

Covers the Archimedean property and the proposition for all x in a set, there exists a positive real number n such that n*x is greater than y.

Covers absolute value, density of rationals, and real line topology.

Explores the properties and applications of roots of real numbers through practical examples.