Lectures related to Vector Calculus: Gradient, Divergence, Curl

Covers derivability, linear applications, composition of functions, and the gradient vector.

Vector Analysis: Basics and Applications

Explores the importance of vector analysis in physics and engineering, showcasing its application in various laws and relationships.

Vector Analysis: Second Class

Covers the mathematical operations in vector fields and their applications.

Vector Calculus Review: Maxwell Equations

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

Untitled

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Vector Fields: Gradient and Divergence

Covers vector fields, gradient, divergence, heat flux, and stress tensors.

Green Function and Laplacian Formula

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

Divergence Theorem: Green Identities in R²

Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Differential Operators: Theorems and Proofs

Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.

Complex Numbers: Introduction and Operations

Covers the introduction and operations of complex numbers in physics and engineering applications.

Complex Numbers: Operations and Applications

Covers the fundamental operations and applications of complex numbers.

Vectors and Tensors: Derivatives and Transformations

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

Vectorial Calculus

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

Divergence: Vector Calculus

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

Differential Operators: Gradient and Divergence

Introduces differential operators, gradient, and divergence in vector fields.

Academic Achievements and Awards Ceremony 2008

Showcases the academic achievements and awards ceremony of 2008 at EPFL.

Verification Strategies for Exercises

Covers general verification strategies for solving exercises in science and engineering, emphasizing the importance of verifying solutions.

Master in Computational Science and Engineering Overview

Outlines the Master in Computational Science and Engineering at EPFL, detailing its structure, admission criteria, and career opportunities for graduates.