Lectures related to Real Sequences: Limits and Properties

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

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

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

Covers the existence of real numbers and equivalence classes of Cauchy sequences.

Covers countable and uncountable sets, sequences, summation, and Cantor's Diagonalization proof.

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

Explores algebraic operations on limits of sequences and discusses the uniqueness of limits and properties of convergent and divergent sequences.

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

Covers algebraic operations on limits of sequences of real numbers.