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Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info): A lesson on where double integrals come from, what they represent, and how to understand them.

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The start of Summertime Fun :)

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An introduction to the Rectangular Coordinate System. Focus will be on plotting points and understanding the basics of the XY plane.

Calculus 3 Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume): What Triple Integrals mean and methods of solving them. Also discussed is the idea of a triple integral representing mass and volume of a 3-D region. Center of Mass is also covered, but more examples in 14.7)

Calculus 3 Lecture 14.4: Center of Mass (and Moments of Mass and Inertia) for Lamina in 2-D: How to find Center of Mass, Mass, First Moments of Mass, Second Moments of Inertia, Radius of Gyration, and solve some cool word problems.

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Green's Theorem: Calculus 3 Lecture 15.5: An explanation of Green's Theorem and how to apply it for Line Integrals of Simple Closed Curves on Non-Conservative Vector Fields.

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This will compare Expressions and Equations. It will also describe how to identify each and what is possible in each type of math statement.

Surface And Flux Integrals, Parametric Surf., Divergence/Stoke's Theorem: Calculus 3 Lecture 15.6_9: How to Parameterize a Surface, How to perform Surface Integrals, How to do Surface Integrals of Vector Fields (Flux Integrals), The application of The Divergence Theorem, and the application of Stoke's Theorem.

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Solving more advanced Linear Equations. Focus on correct distribution technique.

Calculus 3 Lecture 14.7: TRIPLE Integrals Over Regions with CYLINDRICAL or SPHERICAL Coord: How (and why) to change regions into Cylindrical or Spherical Coordinates and perform the resultant triple integral. Also discussed are examples of Center of Mass and Moments of Inertia.

Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min): How to find Relative (Local) and Absolute Extrema of 2 Variable Functions. Optimization is also discussed.

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How to use Scientific Notation.

Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients: How to find a Directional Derivative along the path of any given vector. Also, an introduction to the Gradient and some basics on how it is used.