Lectures related to Q as Subset of R

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Introduces real numbers, their properties, and their significance in analysis.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

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

Explores interior points, closures, and set properties in real analysis.

Explores open sets and interior points in real numbers, with examples and criteria for identification.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Explains the concepts of open and closed sets in real numbers.

Explains interior points, convergence of sequences, and the dense property in real numbers.

Explores boundaries in sets, defining them as points not well separated from the set or its complement.

Covers the basics of linear algebra and systems of equations with exercises and IT tools for support.

Explores real sequences, limits, convergence, divergence, and operations on limits.

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

Explores the proposition that X² is not equal to 2 using absurd reasoning.

Explores point interior and boundary concepts in real numbers, covering definitions and implications.

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

Covers real numbers, indexed sets, and factorial calculations in mathematical operations.