Video Calc IV Tutor

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
* Greens Theorem
o Using Greens Theorem
o Using Greens Theorem in Polar Coordinates
o Splitting a Non-Simple Curve Into Two Simple Curves
o Using Greens 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
* Stokes Theorem
o Using Stokes Theorem to Evaluate a Line Integral Over a Triangle
o Verifying Stokes Theorem by Computing Both the Line Integral and the Surface Integral
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