Real Analysis: Basics and Sequences

Related lectures (22)

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

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

Covers the basics of real analysis, including functions, limits, and max/min functions.

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

Covers the convergence of sequences in multivariable analysis, including definitions, properties, and examples in higher dimensions.

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

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

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