Sujets liés
Ce cours comprend
- 5 h 28 min de vidéo
- 39 leçons
- Niveau : Débutant
- Langue : English
- On retient où vous en étiez
- Entièrement gratuit, sans carte
Leçons
4 sections · 39 leçons · 5 h 28 min durée totale
Leçons 1 à 1010 leçons · 1 h 24 min
- What is VECTOR CALCULUS?? **Full Course Introduction**7 min
- Curves, Parameterizations, and the Arclength Parameterization10 min
- What is a LINE INTEGRAL? // Big Idea, Derivation & Formula14 min
- Line Integrals: Full Example6 min
- Line Integrals in 3D // Formula & Three Applications6 min
- Intro to VECTOR FIELDS // Sketching by hand & with computers12 min
- The Gradient Vector Field2 min
- Line Integrals of Vector Fields // Big Idea, Definition & Formula9 min
- Example: Computing the Line Integral of a Vector Field (i.e. Work Done)7 min
- Line Integrals with respect to x or y // Vector Calculus11 min
Leçons 11 à 2010 leçons · 1 h 28 min
- Flow Integrals and Circulation // Big Idea, Formula & Examples // Vector Calculus9 min
- Flux Integrals // Big Idea, Formula & Examples // Vector Calculus12 min
- Conservative Vector Fields // Vector Calculus6 min
- The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus7 min
- How to Test if a Vector Field is Conservative // Vector Calculus6 min
- Finding the scalar potential function for a conservative vector field // Vector Calculus12 min
- Curl or Circulation Density of a Vector Field // Vector Calculus10 min
- Curl, Circulation, and Green's Theorem // Vector Calculus8 min
- Divergence, Flux, and Green's Theorem // Vector Calculus11 min
- Example: Using Green's Theorem to Compute Circulation & Flux // Vector Calculus9 min
Leçons 21 à 3010 leçons · 1 h 20 min
- Describing Surfaces Explicitly, Implicitly & Parametrically // Vector Calculus11 min
- The Surface Area formula for Parametric Surfaces // Vector Calculus9 min
- Why is the surface area of a Sphere 4pi times radius squared???6 min
- Computing the Surface Area of a surface parametrically // Example 1 // Vector Calculus8 min
- Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus8 min
- Surface Area for Implicit & Explicit Surfaces // Vector Calculus8 min
- Computing the Surface Area of an Implicitly Defined Surface7 min
- Surface Integrals // Formulas & Applications // Vector Calculus8 min
- Orientable vs Non-Orientable Surfaces and the Mobius Strip6 min
- Flux of a Vector Field Across a Surface // Vector Calculus7 min
Leçons 31 à 399 leçons · 1 h 16 min
- Computing the Flux Across a Surface // Vector Calculus8 min
- The CURL of a 3D vector field // Vector Calculus8 min
- Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus9 min
- Stokes' Theorem Example // Verifying both Sides // Vector Calculus14 min
- The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus8 min
- Divergence Theorem example: Flux across unit cube // Vector Calculus6 min
- Divergence Theorem for regions bounded by two surfaces // Vector Calculus5 min
- Deriving Gauss's Law for Electric Flux via the Divergence Theorem from Vector Calculus10 min
- A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)8 min
Ce qu'il vous faut
- Aucune expérience requise : le cours part de zéro.
Description
This playlist on vector calculus covers approximately six weeks of my Calculus IV course. It follows my full semester multivariable calculus course here: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd The major topics are line integrals, surface integrals, vector fields, conservative fields, Green's theorem, divergence theorem and Stokes' Theorem
À qui s'adresse ce cours
- Celles et ceux qui débutent en Sciences.
Ces deux points sont notre lecture du niveau. La description est celle de l'auteur.