Advanced Matplotlib Functions and Scalar Fields

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Related lectures (38)

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

Tangent to Graph of a Function

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

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Derivative of a Product of Functions MOOC: Warm-up for EPFL

Explores the derivative of a product of functions and discusses algebraic products and scalar products of functions.

Linear Approximation and Derivative Parametric

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

Parametric Curves - Introduction

Introduces parametric curves and discusses tangent vectors and symmetry properties.

Directional Derivatives

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Numerical Optimization with Scipy Log in to Mediaspace to watch this video

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

Connections: motivation and definition Log in to Mediaspace to watch this video

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

Gradient: Scalar Field Log in to Mediaspace to watch this video

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

Differentiability of Functions of Several Variables Log in to Mediaspace to watch this video

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

Differentiation and Coordinate Changes in Multivariable Functions Log in to Mediaspace to watch this video

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 Log in to Mediaspace to watch this video

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

Differential Calculus: Definition and Derivability Log in to Mediaspace to watch this video

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

Curl of Vector Field and Path Integrals Log in to Mediaspace to watch this video

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

Functions of LR: Differentiability Log in to Mediaspace to watch this video

Explains differentiability in LR functions and introduces the Jacobian matrix.

Divergence Examples Log in to Mediaspace to watch this video

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

Functions and Coordinate Changes Log in to Mediaspace to watch this video

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Differential Operators: Notation and Terminology Log in to Mediaspace to watch this video

Covers the basics of differential operators and derivatives for n-tuples and vector fields.

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