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Related lectures (28)

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Linear Applications and Matrix Derivatives

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Frobenius Method: Regular Singular Points

Explores the Frobenius method for solving ODEs at regular singular points.

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Power Functions: Definition

Explores power functions with functions as base and exponent, emphasizing exponential function continuity and derivative analysis.

Divergence Examples

Explores examples of divergence in vector fields and their physical meanings.

Differential Calculation

Explores the history and concepts of differential calculus, including tangent, derivative, limit, and various function derivatives.

Derivatives of Elementary Functions

Explores the derivation of elementary and trigonometric functions, including sine, cosine, and tangent.

ODEs: Introduction and Solutions

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.