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Related lectures (30)

Page 3 of 3

Developpements limités

Explains the definition and uniqueness of developments limites for continuous functions on open intervals.

Integral Change of Variable Formula

Explores the integral change of variable formula and its applications in calculus.

Fundamental Theorem of Analysis: Integral (Part 2)

Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).

Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Properties of the Integral

Explores properties of the integral, including summation, continuous functions, and proofs related to partitions and interval points.

Generalized Integrals: Bounded Interval

Introduces generalized integrals on a bounded interval, discussing convergence, divergence, comparison criteria, variable substitution, and corollaries.

Analysis II: Abstract Integration

Explores abstract integration of functions and the need for stronger conditions beyond continuity.

Fourier Series: Properties and Examples

Explores Fourier series properties and examples, showcasing their application to continuous and discontinuous functions.

Preliminaries in Measure Theory

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Continuous Functions: Derivability and Global Properties

Covers continuous functions, derivability, and global properties in differential calculus.