Learning Objectives:

__Math Tutoring on Surface Integrals__

To parameterize a surface in math tutoring, we will need two parameters and three dependent variables.

Where ** u **and

*Surface Integral with Surface Defined Parametrically:*

If a smooth surface given by and ** f **is a continuous function then the

*Surface Integral with Surface Defined Explicitly:*

For a surface ** S** given by , that is continuous and differentiable over a region

*Divergence Theorem:*

This theorem states the total **Divergence** of a **Vector Field** in a solid region ** V** equals the total flow across the

This shows the relationship between a **Triple Integral** over a solid region and **Surface Integral** over a surface.

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**Hook Questions:**

*1. **How to parameterize a Surface?*

*2. **Define Surface Integral with Surface defined Parametrically and Explicitly?*

*3. **State Divergence Theorem. *

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