Teaching Differential Equations with Maple - Maplesoft

Teaching Differential Equations with Maple

Visualize, Explore, and Understand

With Maple, you can engage and enlighten students in your Differential Equations 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.

  • A field plot with a restricted domain A field plot with a restricted domain
  • DE field plot and solution curves for Newton’s law of cooling DE field plot and solution curves for Newton’s law of cooling
  • An interactive exploration of a damped harmonic oscillator An interactive exploration of a damped harmonic oscillator
  • Phase portrait of an asymptotic solution Phase portrait of an asymptotic solution
  • 3-D solution curves 3-D solution curves

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.

Comprehensive Coverage

Maple provides computation, visualization, and learning tools to cover standard courses in Differential Equations.
  • First and second order ODEs
  • Initial value problems
  • First and second order ODE systems
  • Order reduction
  • Change of variables
  • Separation of variables
  • Integrating factors
  • Laplace transforms
  • Undetermined coefficients
  • Step-by-step solutions
  • Series solutions
  • Cauchy-Euler equations
  • Special function solutions
  • Matrix-vector solution methods for linear problems
  • Perturbation method
  • Direction fields and phase portraits
  • Nullclines and isoclines
  • Variation of parameters
...and more!

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The Why Teach Differential Equations with Maple

Focus on the Concepts

It’s easy for your students to get distracted by the details of the calculations 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

Discover

Differential Equations in Maple: Examples, videos, and related resources

Dedicated Tools for Teaching and Learning

Not only can Maple solve differential equations and visualize the solutions, but it also includes tools and resources specifically designed for teaching and learning. These include:

  • A dedicated student package that offers a focused learning environment to explore and reinforce fundamental concepts in the same way they are taught

  • Tools that enable students to develop and practise the skills they will need to solve DEs step-by-step on their own, while building their confidence and understanding

  • Interactive visualizations and animations for exploring a variety of ODE concepts and models, including direction fields, phase portraits, Lotka-Volterra models, predator-prey models, harmonic oscillators, and much more

Powerful Research Tool

Researchers around the world rely on Maple’s extremely powerful DE solvers to advance their research.

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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