Selected Topics in Mathematics

Related lectures (30)

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

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

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

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

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

Explains the Bolzano-Weierstrass Theorem, stating that every bounded sequence has a convergent subsequence.

Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.

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

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

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

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