Study Guide

I created a PDF file of step-by-step solutions to a wide range of Calculus III practice problems. This guide was originally intended for a student I was teaching taking Math 53: Calculus III at UC Berkeley. However, this guide is applicable to anyone wanting to strengthen their multivariate calculus skills.

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Stewart's Calculus: Early Transcendentals 8th Edition

All of the questions and solutions in this study guide are based on sections 13.1 to 16.1 of Stewart's "Calculus: Early Transcendentals 8th Edition".

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Link to the PDF

I created this study guide and others using LaTeX, exported those files as PDFs, and put them on a publically available Github repository for open-access.

Check out my Github repo for access to the PDF.

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Sample Problems

Here are some solutions to various problems from the study guide.

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Triple Integrals

Image 1.Triple Integrals: step-by-step

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Image 2.Triple Integrals: Adding the bounds

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Directional Derivatives

Image 3. Directional Derivatives: conceptual

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