Learn Vector Calculus

Description

In this course, you will :

• Explore the possibilities that result from the combination of calculus and vectors.
• Explore an important vector calculus application in physics.
• Find out how to integrate along space curves and why it's useful.

Syllabus :

1. Vector-valued Functions

• Calculus of Motion
• Space Curves
• Integrals and Arc Length
• Frenet Formulae

 

2. Surface Integrals and Divergence

• Introducing Surface Integrals
• Flux
• Surface Integrals

 

3. Line Integrals & Curl

• Work
• Line Integrals
• Path Independence

 

4. Advanced Applications

• The Laplacian
• Gaussian Integrals
• Fourier Transform

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