How to Test if a Vector Field is Conservative // Vector Calculus
A vector field is conservative if the line integral is independent of the choice of path between two fixed endpoints. We have previously seen this is equivalent of the Field being able to be written as the gradient of a scalar potential function. In this video we will derive a simple test to see whether a field is indeed conservative. We discover three equations that relate different partial derivatives of the components of the field, and if those equations are equal, then the field is conservative. MY VECTOR CALCULUS PLAYLIST: ►VECTOR CALCULUS (Calc IV) • Calculus IV: Vector Calculus (Line Integra... OTHER COURSE PLAYLISTS: ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Logic, P... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) ►CALCULUS I: • Calculus I (Limits, Derivative, Integrals)... ► CALCULUS II: • Calculus II (Integration Methods, Series, ... ►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus (Vect... ►DIFFERENTIAL EQUATIONS: • How to solve ODEs with infinite series | I... OTHER PLAYLISTS: ► Learning Math Series • 5 Tips To Make Math Practice Problems Actu... ►Cool Math Series: • Cool Math Series BECOME A MEMBER: ►Join: / @drtrefor MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based): / treforbazett ►Instagram (photography based): / treforphotography
Finding the scalar potential function for a conservative vector field // Vector Calculus
What is a LINE INTEGRAL? // Big Idea, Derivation & Formula
![Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]](https://i.ytimg.com/vi/lKXW7DRyyro/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLD8l-aKXIFaxVUuBZdv02nLAuc4cQ)
Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]
How to check if a vector field is conservative (& how to find that *secret* function)
Curl or Circulation Density of a Vector Field // Vector Calculus
Conservative Vector Fields // Vector Calculus
Line Integrals of Vector Fields // Big Idea, Definition & Formula
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Calculus 3: Line Integrals (38 of 44) What are conservative/NON-Conservative Vector Fields?
The Curl of a Vector Field: Measuring Rotation
Finding a Potential for a Conservative Vector Field
potential function of a conservative vector field (KristaKingMath)
How Maxwell's Equations Were Discovered
Stokes' Theorem and Green's Theorem
Vector fields, introduction | Multivariable calculus | Khan Academy
How to Evaluate the Line Integral of a Vector Field
Evaluating Line Integrals
Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus
