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Lecture
Derivatives and Continuity
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Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Continuity and Differentiability of Functions
Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.
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Delves into functions on R^n, covering limits and partial differentiation.
Partial Derivatives and Functions
Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.
Derivability and Composition of Functions
Explores derivability and function composition with examples.
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Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
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Covers the concept of functional derivatives and their calculation process with examples.
Calculus: Derivatives and Integrals
Covers the fundamentals of calculus, focusing on derivatives and integrals.