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Advanced Math

Professor Dave Explains via YouTube

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Overview

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This advanced mathematics course introduces vector calculus topics including multiple integrals, partial derivatives, vector fields, line and surface integrals, and the major integral theorems. It assumes prior study of calculus and linear algebra.

Syllabus

Double and Triple Integrals.
Partial Derivatives and the Gradient of a Function.
Vector Fields, Divergence, and Curl.
Evaluating Line Integrals.
Green's Theorem.
Evaluating Surface Integrals.
Stokes's Theorem.
The Divergence Theorem.

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Professor Dave Explains

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