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Related lectures (28)

Scalar Product MOOC: Warm-up for EPFL

Explains the concept of scalar product, its properties, and geometric interpretation.

Vector Calculus in 3D

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Vector Calculus: 3D Orientation and Cross Product

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.

Vector Calculus: Derivatives and Products

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

General Physics: Mechanics

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Indicial Notation and Vectors

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Green Function and Laplacian Formula Log in to Mediaspace to watch this video

Covers the concept of Green function and Laplacian formulas in mathematics.

Vector Calculus: 2D Curl Operator Log in to Mediaspace to watch this video

Explores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.

Vectors and Tensors: Derivatives and Transformations Log in to Mediaspace to watch this video

Explores gradient, divergence, and integral theorems in vector calculus.

Vector Calculus Review: Maxwell Equations Log in to Mediaspace to watch this video

Covers a review of vector calculus and the Maxwell equations in electromagnetism.

Surface Integrals: Change of Variables Log in to Mediaspace to watch this video

Explores surface integrals, change of variables, and properties of regular surfaces.

Vector Calculus: Gradient, Divergence, Curl Log in to Mediaspace to watch this video

Covers vector calculus concepts like gradient, divergence, and curl with applications in physics and engineering.

Parallelogram Problems: Vector Calculus Log in to Mediaspace to watch this video

Covers problems with parallelograms and double integrals over different regions.

Electrostatics and Coulomb Force Log in to Mediaspace to watch this video

Covers electrostatics, Coulomb force, and image charge method in electromagnetism.

Vector Calculus: Line Integrals Log in to Mediaspace to watch this video

Covers the concept of line integrals and their application in vector fields.

Divergence: Vector Calculus Log in to Mediaspace to watch this video

Covers the concept of divergence in vector calculus and its computation with examples.

Graph Surfaces: Integration and Vector Calculus Log in to Mediaspace to watch this video

Covers integrating functions over graph surfaces in vector calculus, emphasizing the interpretation of divergence theorem and special cases of domain between two graphs.

Vectorial Calculus Log in to Mediaspace to watch this video

Explores vectorial calculus, divergence, curl, gradient, implicit functions, and local inversion theorems.

Vector Calculus: Divergence and Notation Log in to Mediaspace to watch this video

Explores divergence in vector fields, Laplacian notation, and proof for scalar and vector Laplacians.

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