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Lecture
Change of Coordinates: Invertible Matrices & Functions
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Related lectures (21)
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Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
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Limits and Derivatives in Multivariable Functions
Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Derivability of Reciprocal Function
Covers the derivative of the reciprocal function and its properties.
Functions: Limits, Continuity, Differentiability
Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.
Laplacian in Polar and Spherical Coordinates: Derivatives
Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.
Functions with Multiple Variables
Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.
Differentiability and Tangent Lines
Explores differentiability, tangent lines, and graph interpretation.
Theorem of Generalized Mean Value: Study of Functions
Explores the conditions for continuity and differentiability of functions on a closed interval.