Teaching Multivariate Calculus and Vector Calculus with Maple - Maplesoft

Teaching Multivariate Calculus and Vector Calculus with Maple

Visualize, Explore, and Understand

With Maple, you can engage and enlighten students in your multivariate and vector calculus courses and lead them to greater understanding, more easily

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Enlightening Visualizations

Concepts are easier to grasp when you can see them, and with Maple, students can see, manipulate, and explore 2-D and 3-D plots and animations that engage their attention and deepen their understanding.

  • Math app for visualizing level curves and cross sections of a 3-D surface Level curves and cross sections
  • Visualization of a 3D graph with a tangent plane Tangent plane
  • Graph showing flow lines of a vector field Flow lines of a vector field
  • 3-D visualization of Lagrange multipliers Lagrange multipliers
  • Visualization of a Taylor approximation of a 3-D curve Taylor approximiation

Talk to an expert

Request your personalized demo today, and we’ll arrange for one of our experts to show you what Maple can do for you and your students.

Upcoming Events & Webinars

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Introducing Maple 2025 for Education and Research

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Comprehensive Coverage

Maple provides computation, visualization, and learning tools to cover standard courses in Multivariate and Vector Calculus.
  • Lines and planes
  • Space Curves
  • Functions of several variables
  • Partial differentiation
  • Double integration
  • Triple integration
  • Coordinate systems
  • Cross and dot products
  • Directional derivatives
  • Vector fields and space curves
  • Divergence, gradient, curl, laplacian
  • Path, line, flux, and surface integrals
...and more!

Recorded Webinar:

The Multivariate Calculus Study Guide: A Manual for Maple's Syntax‑Free Approach to Multivariate Calculus

Focus on the Concepts

In these calculation heavy courses with their multi-dimensional maneuverings, it’s easy for your students to get overwhelmed by the details and lose sight of what’s important. Maple makes it easier for students to focus on the concepts and techniques they need to learn.

  • Drastically reduce time spent on computations that aren’t the point of the lesson, and tackle more realistic applications that will motivate your students

  • Eliminate mechanical errors that derail examples and cause anxious students to doubt themselves even when they actually understand

  • Focus on the math, not the tool, with the use of standard mathematical notation and many Clickable Math interactions that enable students to solve, visualize, and explore problems and concepts with the click of their mouse

Case Study:

California State University Professor Relies on Maple’s Visualization Tools to Improve STEM Students’ Understanding of Math

Dedicated Tools for Teaching and Learning

Not only can Maple handle the computations and visualizations in multivariate and vector courses, but it also includes tools and resources specifically designed for teaching and learning. These include:

  • Interactive tutors and Math Apps focused on conceptual learning, for exploring directional derivatives, cross sections, level curves, vector fields, and more

  • Dedicated student packages that offer focused learning environments to explore and reinforce fundamental concepts in the same way they are taught Space Curves

  • The Multivariate Calculus Study Guide, an interactive, Clickable Math e-book that is a study aid for your students and a source of ready-made examples and ideas for you

Explore the Maple calculus packages:

Versatile Technical Document Environment

The Maple environment can be for interactive problem solving as well as the development of rich, interactive documents and applications. Maple documents combine live computations and visualizations with explanations, images, videos, parameter sliders and other interactive elements, and more. Common activities performed in the Maple environment include:

  • Demonstrating concepts and working through examples during lectures

  • Exploring “what if” scenarios, including on-the-fly responses to questions during class and independent student explorations

  • Developing lecture notes, assignments, and student resources that can be viewed in Maple, through a web browser, or as PDFs

  • Working through assignments, including written explanations about reasoning and methods

  • Investigating, developing, and presenting results for project-based learning activities

  • Creating custom, interactive applications and algorithms

Talk to an expert

Request your personalized demo today, and we’ll arrange for one of our experts to show you what Maple can do for you and your students.

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