Похожие темы
Что входит в курс
- 5 ч 28 мин видео
- 39 уроков
- Уровень: Начальный
- Язык: English
- Помним, где вы остановились
- Полностью бесплатно, без карты
Уроки
4 разделов · 39 уроков · 5 ч 28 мин общая длительность
Уроки 1–1010 уроков · 1 ч 24 мин
- What is VECTOR CALCULUS?? **Full Course Introduction**7 мин
- Curves, Parameterizations, and the Arclength Parameterization10 мин
- What is a LINE INTEGRAL? // Big Idea, Derivation & Formula14 мин
- Line Integrals: Full Example6 мин
- Line Integrals in 3D // Formula & Three Applications6 мин
- Intro to VECTOR FIELDS // Sketching by hand & with computers12 мин
- The Gradient Vector Field2 мин
- Line Integrals of Vector Fields // Big Idea, Definition & Formula9 мин
- Example: Computing the Line Integral of a Vector Field (i.e. Work Done)7 мин
- Line Integrals with respect to x or y // Vector Calculus11 мин
Уроки 11–2010 уроков · 1 ч 28 мин
- Flow Integrals and Circulation // Big Idea, Formula & Examples // Vector Calculus9 мин
- Flux Integrals // Big Idea, Formula & Examples // Vector Calculus12 мин
- Conservative Vector Fields // Vector Calculus6 мин
- The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus7 мин
- How to Test if a Vector Field is Conservative // Vector Calculus6 мин
- Finding the scalar potential function for a conservative vector field // Vector Calculus12 мин
- Curl or Circulation Density of a Vector Field // Vector Calculus10 мин
- Curl, Circulation, and Green's Theorem // Vector Calculus8 мин
- Divergence, Flux, and Green's Theorem // Vector Calculus11 мин
- Example: Using Green's Theorem to Compute Circulation & Flux // Vector Calculus9 мин
Уроки 21–3010 уроков · 1 ч 20 мин
- Describing Surfaces Explicitly, Implicitly & Parametrically // Vector Calculus11 мин
- The Surface Area formula for Parametric Surfaces // Vector Calculus9 мин
- Why is the surface area of a Sphere 4pi times radius squared???6 мин
- Computing the Surface Area of a surface parametrically // Example 1 // Vector Calculus8 мин
- Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus8 мин
- Surface Area for Implicit & Explicit Surfaces // Vector Calculus8 мин
- Computing the Surface Area of an Implicitly Defined Surface7 мин
- Surface Integrals // Formulas & Applications // Vector Calculus8 мин
- Orientable vs Non-Orientable Surfaces and the Mobius Strip6 мин
- Flux of a Vector Field Across a Surface // Vector Calculus7 мин
Уроки 31–399 уроков · 1 ч 16 мин
- Computing the Flux Across a Surface // Vector Calculus8 мин
- The CURL of a 3D vector field // Vector Calculus8 мин
- Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus9 мин
- Stokes' Theorem Example // Verifying both Sides // Vector Calculus14 мин
- The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus8 мин
- Divergence Theorem example: Flux across unit cube // Vector Calculus6 мин
- Divergence Theorem for regions bounded by two surfaces // Vector Calculus5 мин
- Deriving Gauss's Law for Electric Flux via the Divergence Theorem from Vector Calculus10 мин
- A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)8 мин
Что нужно
- Опыт не нужен: курс начинается с нуля.
Описание
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
Кому подойдёт курс
- Тем, кто начинает Наука с нуля.
Эти два пункта — наш вывод из уровня курса. Описание принадлежит автору.