Rates | Generalizations of the derivative | Multivariable calculus
In continuum mechanics, the material derivative describes the time rate of change of some physical quantity (like heat or momentum) of a material element that is subjected to a space-and-time-dependent macroscopic velocity field. The material derivative can serve as a link between Eulerian and Lagrangian descriptions of continuum deformation. For example, in fluid dynamics, the velocity field is the flow velocity, and the quantity of interest might be the temperature of the fluid. In which case, the material derivative then describes the temperature change of a certain fluid parcel with time, as it flows along its pathline (trajectory). (Wikipedia).
Derivatives are the main object of study in differential calculus. They describe rates of change of functions. That makes them incredibly useful in all of science, as many models can be expressed by describing the changes over time (e.g. of physical quantities). However, the abstract defin
From playlist Summer of Math Exposition Youtube Videos
In this video I briefly touch on the derivative as the representative of the instantaneous slope and mention the use of the concept of a limit to explain the slope at a point on a curve.
From playlist Biomathematics
Calculus - What is a Derivative? (1 of 8) Overview
Visit http://ilectureonline.com for more math and science lectures! In this video I will give a general overview and the definition of “What is a derivative?”
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Definition of derivative in terms of a limit, (def 1)
Definition of derivative, calculus 1 homework solution. #calculus Check out my 100 derivatives: https://youtu.be/AegzQ_dip8k
From playlist Sect 2.7, Definition of Derivative
What Is Thermosetting and Thermosoftening Polymers | Organic Chemistry | Chemistry | FuseSchool
Learn the basics about thermosetting and thermosoftening polymers, when learning about polymers as a part of organic chemistry. A polymer is a macromolecule made of many monomers, or repeating units. The properties of these polymers depend on a variety of factors – the monomer unit, the
From playlist CHEMISTRY
Calculus 3: Partial Derivative (1 of 50) What is a Partial Derivative?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the difference between a derivative and partial derivative, and what is the physical meaning of a partial derivative. Next video in the series can be seen at: https://youtu.be/rfX3AYN
From playlist CALCULUS 3 CH 4 PARTIAL DERIVATIVES
Crystalline vs Amorphous materials
Materials are either crystalline or amorphous. They contain long-range periodic order or they do not. This leads to very different properties! Crystalline materials can be either polycrystalline or single crystal in nature. we can see evidence of single crystals in faceting of crystal face
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
An Introduction to Stress and Strain
This video is an introduction to stress and strain, which are fundamental concepts that are used to describe how an object responds to externally applied loads. Stress is a measure of the distribution of internal forces that develop within a body to resist these applied loads. There are
From playlist Mechanics of Materials / Strength of Materials
Videos for Transport Phenomena course at Olin College This video discusses the material derivative operator.
From playlist Lectures for Transport Phenomena course
The quartic integrability and long time existence of steep water waves in 2D - Sijue Wu
Workshop on Recent developments in incompressible fluid dynamics Topic: The quartic integrability and long time existence of steep water waves in 2D Speaker: Sijue Wu Affiliation: University of Michigan Date: April 07, 2022 It is known since the work of Dyachenko & Zakharov that for th
From playlist Mathematics
Worldwide Calculus: General Exponential and Logarithmic Functions
Lecture on 'General Exponential and Logarithmic Functions' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj
John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Non-local Material Models and Concurrent Multiscale Methods. (3 - 7.04.2017) The
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Videos for Transport Phenomena course at Olin College This video derives the heat conduction equation in one dimension.
From playlist Lectures for Transport Phenomena course
Derivation of the energy equation
Video lectures for Transport Phenomena course at Olin College. This video derives the conservation of energy equation for an incompressible, Newtonian flow.
From playlist Lectures for Transport Phenomena course
Lecture 10 (CEM) -- Maxwell's Equations on a Yee Grid
This lectures builds on the previous lecture to approximate Maxwell's equations using finite-differences where the fields are staggered onto a Yee grid. The finite-difference equations are cast into matrix form to be solved, but the solution is reserved for other lectures. Bonus topics i
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Introduction to Sobolev Spaces and Weak Solutions of PDEs (Lecture 1) by Patrizia Donato
PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE & TIME: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to under
From playlist Multi-scale Analysis And Theory Of Homogenization 2019
OPEN-TOP BOX?!! How to find the smallest possible surface area
► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course If you need more help with optimization problems, check out http://www.kristakingmath.com Optimization problems are an application of derivatives in calculus that allow us to find t
From playlist Calculus I
Material derivative and Leibniz rule
Videos for Transport Phenomena course at Olin College. This video discusses the connection between the material derivative operator and the Leibniz integral rule from calculus.
From playlist Lectures for Transport Phenomena course
Calculus 2.8 The Derivative as a Function
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Lecture 8 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 8 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded March 3, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of modern
From playlist Course | Modern Physics: Quantum Mechanics