Concept

Continuum hypothesis

Related lectures (12)

Provides an overview of Finite Element families, including solid and shell elements, with specific examples like linear hexahedron finite elements.

Continuum Mechanics: The Continuum Hypothesis

Explores Continuum Mechanics and the Continuum Hypothesis, emphasizing the importance of ignoring molecular nature at appropriate scales.

Approximations in Engineering: Leading Digits and Dominant Balance

Explores the significance of leading digits and dominant balance in engineering approximations, showcasing historical methods like slide rules and their relevance in solving challenging problems.

Martingales and Brownian Movement

Explores martingales, Brownian movement, mean numbers, and generation hypotheses.

Fluid Kinematics: Introduction

Introduces the concept of fluid kinematics and explores properties, descriptions, and derivatives in fluid mechanics.

Fluid Kinematics: Euler/Lagrange

Covers fluid kinematics, Eulerian and Lagrangian descriptions, total derivative, rotation, vorticity, and Laplacian in fluid dynamics.

Introduction to Continuum Mechanics

Covers the basics of continuum mechanics, including vector and tensor analysis, kinematics, and fluid mechanics.

Signal Representations

Covers the properties of signal/data representations using Fourier transformations and matrices.

Numerical Methods: Boundary Value Problems

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Concept of Proof in Mathematics

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Continuum Mechanics: Forces and Motion

Covers the governing equations for forces and motion in continua, including stress, energy conservation, solid deformation, and fluid motion.

Statistical Hypothesis Testing: Concepts and Applications

Provides an overview of statistical hypothesis testing, including its purpose, formulation, and significance in data analysis.