# Video Calc IV Tutor 2.0

Video Calc IV Tutor by Larry GreenWith 28 MAJOR CATEGORIES & 100 VIDEO LECTURES totaling over 7 HOURS of lessons, Video Calc IV Tutor covers the last part of a four part series in the college calculus curriculum in video, tutorial form. * These ...

Video Calc IV Tutor by Larry Green

With 28 MAJOR CATEGORIES & 100 VIDEO LECTURES totaling over 7 HOURS of lessons, Video Calc IV Tutor covers the last part of a four part series in the college calculus curriculum in video, tutorial form.

* These 100 VIDEOS are in the app, not streamed from Internet. You can use this product anywhere.

Video Calc IV Tutor lessons include:

Vectors

* Plane Vectors

* 3 Dimensional Vectors

* The Dot Product

o Finding the Angle Between Two Vectors

o Finding Vectors that are Orthogonal to a Given Vector

o Determining if a Triangle is Acute, Obtuse, or Right

o Finding the Projection of u Onto v and the Component of u Orthogonal to v

o Finding the Work Done on and Object

o Proving the Diagonals of a Rhombus are Perpendicular

* The Cross Product

o Finding the Area of a Parallelogram

o Finding the Volume of a Parallelepiped

o Calculating the Torque

* Lines and Planes

Vector Valued Functions

* Vector Valued Functions (Definitions)

* Derivatives and Integrals of Vector Valued Functions

o Verifying a Property Involving Derivatives and Dot Products

o Finding Where a Curve is Smooth

o Finding an Indefinite Integral

o Find r(t) Given r''(t) and r'(0) and r(0)

o Proving a Property About Vector Valued Functions

* Velocity and Acceleration

o Finding the Velocity and Acceleration

o Finding the Minimal Angle Required to Hit a Home Run

o Finding an Initial Speed and a Maximal Height

* Unit Tangent and Unit Normal Vectors

* Arc Length and Curvature

Multiple Integration

* Double Integrals and Area

* Double Integrals and Volume

* Center of Mass and Moment of Inertia

o Finding the Center of Mass of a Lamina

o Finding the Moments of Inertia and Radii of Gyration

o Finding the Moment of Inertia of a Lamina About the Line x=2

* Surface Area

* Triple Integrals in Cylindrical and Spherical Coordinates

o Using Cylindrical Coordinates to Find the Mass of a Solid

o Using Spherical Coordinates to Find the Volume in a Sphere and a Cone

* Jacobians

o Using the Jacobian for a Parallelogram Region

o Using the Jacobian for a Curvy Region

o Finding the Volume of an Ellipsoid Using Jacobians

Vector Calculus

* Vector Fields

* Line Integrals

* The Fundamental Theorem of Line Integrals and Independence of Path

o Applying the Fundamental Theorem of Line Integrals

o Finding a Line Integral Over a Conservative Vector Field Using Independence of Path

o Applying the Fundamental Theorem of Line Integrals (3D)

o Finding the Work Done by a Conservative Force Field on a Particle Moving Along a Closed Curve

* Green's Theorem

o Using Green's Theorem

o Using Green's Theorem in Polar Coordinates

o Splitting a Non-Simple Curve Into Two Simple Curves

o Using Green's Theorem to Find the Area of an Ellipse

* Parametric Surfaces

* Surface Integrals

o Finding the Mass of a Surface Defined by a Function of x and y

o Finding the Surface Integral Over a Parameterized Surface

o Finding the Flux Through a Surface

* The Divergence Theorem

o Applying the Divergence Theorem

o Showing that the Surface Integral of CurlF . N dS Equals 0

* Stoke's Theorem

o Using Stoke's Theorem to Evaluate a Line Integral Over a Triangle

o Verifying Stoke's Theorem by Computing Both the Line Integral and the Surface Integral

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