Calculus 3 – Jenn Stulls

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What is Calculus 3?

A Quick Overview

The following video provides an outline of all the topics you would expect to see in a typical Multivariable Calculus class (i.e., Calculus 3, Vector Calculus, Multivariate Calculus).

All the topics are covered in detail in our Online Calculus 3 Course.

The online course contains:

• Full Lectures – Designed to boost your test scores.
• 150+ HD Video Library – No more wasted hours searching youtube.
• Available 24/7 – Never worry about missing a class again.
• Practice Exams – Ensure you’re ready for your finals.

Vectors and The Geometry of Space

 7 Videos 36 Examples

• Three-Dimensional Coordinate Systems
• Vectors
• The Dot Product
• The Cross Product
• Equations of Lines and Planes
• Cylinders and Quadric Surfaces
• Cylindrical and Spherical Coordinates

Vector Functions

 5 Videos 28 Examples

• Vector Functions and Space Curves
• Derivatives and Integrals of Vector Functions
• Unit Tangent Vectors
• Arc Length and Curvature
• Motion in Space: Velocity and Acceleration

Partial Derivatives

 8 Videos 63 Examples

• Functions of Several Variables
• Limits and Continuity
• Partial Derivatives
• Tangent Planes and Linear Approximations
• The Chain Rule for Functions of Several Variables
• Directional Derivatives and the Gradient Vector
• Maximums and Minimum Values for Functions of Several Variables
• Lagrange Multipliers

Multiple Integrals

 9 Videos 48 Examples

• Double Integrals over Rectangles
• Iterated Integrals
• Double Integrals over General Regions
• Double Integrals in Polar Coordinates
• Applications of Double Integrals: Density, Mass and Moments of Inertia
• Surface Area
• Triple Integrals
• Triple Integrals in Cylindrical and Spherical Coordinates
• Change of Variables in Multiple Integrals

Vector Calculus

 9 Videos 58 Examples

• Vector Fields
• Line Integrals
• The Fundamental Theorem of Line Integrals
• Green’s Theorem
• Curl and Divergence
• Parametric Surfaces and Their Areas
• Surface Integrals
• Stoke’s Theorem
• The Divergence Theorem

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