# MATH 251

<aside>Fall 2020, Dr. Arman Darbinyan, Texas A&M University</aside>

$$\iiint\limits_D f(x,y,z)dV = \lim\limits_{\begin {cases}\Delta x_i \to 0\\\Delta y_j \to 0\\\Delta z_l \to 0\end{cases}}\sum\limits_{i=1}^n\sum\limits_{j=1}^m\sum\limits_{l=1}^k f(x_i, y_j, z_l)\Delta x_i\Delta y_j\Delta z_l$$

You can find practice questions for the final exam [here](/Math251/practice_qs.html). These are a few problems that I created that encompass most of the course material. Answers are included.

## Sections

- [Chapter 12 - Vectors and Planes](/Math251/12/)
- [Chapter 13 - Vector Equations](/Math251/13/)
- [Chapter 14 - Partial Derivatives and Applications](/Math251/14/)
- [Chapter 15 - Double and Triple Integrals](/Math251/15/)
- [Chapter 16 - Curl and Divergence](/Math251/16/)

## Other resources:

- [Paul's Online Calc III Notes](https://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx)
- [OpenStax Free Calc 3 Textbook](https://openstax.org/books/calculus-volume-3/pages/1-introduction)
- [Complex 3D Function Grapher](https://kiranwells.github.io/ray-graph/)

## Summaries

1. [Exam 1 Study Guide](/Math251/summary-1.html)
2. [Exam 2 Study Guide](/Math251/summary-2.html)
3. [Exam 3 Study Guide](/Math251/summary-3.html)
4. [Final Exam Study Guide](/Math251/summary-f.html)

## View PDFs

[Folder Link](/Math251/PDFs/)

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