Advanced Matplotlib Functions and Scalar Fields

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Related lectures (28)

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Introduces numerical optimization with Scipy, covering zero finding, problem dimensionality, derivatives, and advanced visualization techniques.

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Gradient: Scalar Field

Explores gradient in scalar fields, directional derivatives, and level sets.

Differentiability of Functions of Several Variables

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

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.

Differentiable Functions in R²

Explores differentiable functions in R², including vector fields and coordinate transformations.

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Derivatives: Definition and Properties

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Differential Calculus: Definition and Derivability

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Curl of Vector Field and Path Integrals

Explores the curl of a vector field and the calculation of path integrals in Cartesian coordinates.