Mathematics: Functions and Series

Related lectures (25)

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Explores real functions, covering parity, periodicity, and polynomial functions.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Covers Fourier series, periodic functions, and Fourier transforms.

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

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

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

Provides solutions to an Analysis I exam, covering various topics.

Discusses local extrema of functions in two variables around the point (0,0).

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.