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Course, Calculus, Math, Jenn Stulls, Multivariable Calculus

**What is Calculus 3?**

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).

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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