Solving Multivariate Calculus Problems with Mathematica: A Comprehensive Project Overview

Feb 13, 2026

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This project by James Cole explores the powerful capabilities of Mathematica in tackling common multivariate calculus problems. Key topics include derivatives, integrals, graphics generation, and algebraic tools. Learn how to calculate derivatives, partial derivatives, and mixed partial derivatives both symbolically and through code. The project also covers single, double, and triple integrals, along with advanced 2-D and 3-D plotting graphics, including Lorentz attractors. Additionally, algebraic tools like factoring, simplifying, and expanding expressions are discussed to enhance problem-solving skills.

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Solving Multivariate Calculus Problems with Mathematica: A Comprehensive Project Overview

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Calc. III Final ProjectJames Cole Using Mathematica to Solve Common Multivariate Calculus Problems
Main Topics • Derivatives • Integrals • Graphics • Algebraic Tools
Derivatives Mathematica can handle derivatives,partial derivatives and mixed partial derivatives either symbolically or as code input. • The derivative with respect to x • A mixed partial of y w.r.t. x • The second derivative with respect to t
Integrals • Single integrals • Or symbolically • Double integrals • Triple integrals
Graphics • 2-D Plotting