Calculus Problem Solutions with MATLAB®

Calculus, worked through with MATLAB

Calculus Problem Solutions with MATLAB® takes a practical route through calculus: not just the theory, but the computational habits that help readers actually solve problems, test ideas, and visualize results. Dingyü Xue organizes the material around the core topics students and researchers meet most often, then shows how MATLAB can be used to handle them with speed and clarity.

The book starts with functions and sequences, then moves into limits, derivatives, differentials, and integrals. From there it expands into series, function fitting, numerical differentiation and integration, integral transforms, and fractional calculus. The result is a structured guide that connects classic calculus topics with the tools of modern scientific computing.

What the book covers

• Functions, mappings, and common representations of mathematical objects
• Limits, continuity, and multivariate behavior
• Derivatives, partial derivatives, Jacobians, Hessians, and applications
• Definite, improper, multiple, path, and surface integrals
• Series, Taylor expansions, Fourier series, and approximation methods
• Numerical approaches to differentiation and integration
• Introductory coverage of integral transforms and fractional calculus

A useful bridge between calculus and computation

This is a natural fit for readers who already have some calculus background and want to see how MATLAB can support the subject in a more applied, problem-solving setting. The book’s chapter progression makes it suitable both as a companion alongside a calculus course and as a reference for revisiting familiar material through computation.

Why it stands out

Rather than presenting MATLAB as a side note, the book uses it as the main lens for the subject. That gives the volume a clear identity: it is about understanding calculus by doing calculus with a computer tool that many engineers, scientists, and students already use.

At a glance

• Author: Dingyü Xue
• Language: English
• Subject focus: calculus, MATLAB, scientific computing
• Format: digital ebook

For readers looking for a calculus title with a strong computational emphasis, this is a focused and well-structured choice.