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Related lectures (30)

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

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Muscles of Mastication: Anatomy and Function

Explains the anatomy and function of the muscles involved in jaw movement and chewing.

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Derivability and Continuity

Covers the concept of derivability and its implications for continuity in functions.

Derivable ↔ Differentiable

Explores the equivalence between being derivable and differentiable functions, with examples like sin(x) at x=0.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Integration of CnR Class Functions

Explains the integration of Taylor series for CnR class functions.

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Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Green's Function: Theory and Applications

Covers the theory and applications of Green's function in solving differential equations.

Implicit Differentiation

Explores implicit differentiation and the Implicit Function Theorem for finding unique local functions.

Real Functions: Definitions and Examples

Explores definitions and examples of real functions of a real variable.

Lipschitz Gradient Theorem

Covers the Lipschitz gradient theorem and its applications in function optimization.

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Taylor Series: Convergence and Applications

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

Fourier Series: Understanding Periodicity and Coefficients

Explores t-periodic functions in Fourier series, discussing intervals, propositions, and variable changes for coefficient calculation and series convergence.

Functions in Python

Introduces functions in Python, covering predefined and user-defined functions, formal and effective parameters, and the importance of docstrings.

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