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Lecture
Change of Coordinates: Invertible Matrices & Functions
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Related lectures (41)
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Derivatives and Continuity
Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Untitled
Derivability of Reciprocal Function
MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Covers the derivative of the reciprocal function and its properties.
Functions with Multiple Variables
Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.
Theorem of Generalized Mean Value: Study of Functions
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores the conditions for continuity and differentiability of functions on a closed interval.
Gradient and Taylor Formula
Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.
Differentiation and Coordinate Changes in Multivariable Functions
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Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Advanced Analysis II: Derivatives and Notations
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Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.
Functions Reciprocal and Monotone: Advanced Analysis II
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Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.
Differentiability and Composition
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Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
Partial Derivatives and Functions
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Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Limits and Derivatives in Multivariable Functions
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Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Functions: Limits, Continuity, Differentiability
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Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.
Laplacian in Polar and Spherical Coordinates: Derivatives
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Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.
Differentiability and Tangent Lines
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Explores differentiability, tangent lines, and graph interpretation.
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