Class Description

Students will learn the concepts of multivariable calculus.

Below are the topics covered in this class in order:
1. 3D Coordinate system, vectors, dot product & cross product.
2. Vector projections, lines in space, planes in space, and quadric surfaces.
3. Vector functions and curves, Derivatives, and integrals of vector functions & curvature.
4. Normal and binormal vectors, normal plane, velocity, speed, and acceleration.
5. Multi-variable functions, Partial Derivatives, Tangent Planes, Differentials, and Optimization.
6. Double integrals over rectangles and general regions.
7. Polar coordinates, double integrals in polar coordinates, and mass and center of mass problems.
8. Taylor Series

Class Requirements

Calculus 1 and Calculus 2

You should have strong knowledge of the derivative function, integration, and both of their various applications and problem-solving techniques.

Class Supplies

You only need note-taking supplies and a calculator

For additional resources you can look at the following resources:

Textbook (optional): Multivariable Calculus, by James Stewart, 8th Edition

Paul’s Online Math Notes Website: https://tutorial.math.lamar.edu/classes/calci/calci.aspx