Vector Calculus and Partial Differential Equations: Big Picture Overview

This video describes how vector calculus is the language we use to derive partial differential equations (PDEs) to encode physical laws, such as mass, momentum, and energy conservation in fluids. This is the first lecture of a series that will describe Div, Grad, and Curl; Gauss and Stokes theorems; deriving the continuity and Navier-Stokes equations, and much more.

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0:00 Introduction & Overview
3:33 What is a Vector Field?
7:01 What is a Scalar Field?
9:05 Integrating Trajectories in a Vector Field
11:30 Div, Grad, and Curl

Видео Vector Calculus and Partial Differential Equations: Big Picture Overview канала Steve Brunton