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Lecture
Derivatives and Convergence
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Generalized Integrals and Convergence Criteria
Covers generalized integrals, convergence criteria, series convergence, and harmonic series in analysis.
Algebraic Operations on Limited Developments
Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
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Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
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Explores Taylor series expansions for derivatives and integrals, including practical applications.
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Covers the definition of derivatives and provides examples of differentiable functions.
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Explores matrix operations, trends, and convergence conditions with a focus on clear definitions and examples.
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Covers the computation of derivatives and the properties of differentiable functions.
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Explores the extension of the chain rule to higher dimensions and compositions of functions.
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Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.