This site is an online calculator to help users find approximate solutions to first order differential equations using Euler’s method to evaluate the function at a point.
Type of Material:
Simulation
Recommended Uses:
Lecture Notes, Assignments, or Handouts for the First Courses in Differential Equations.
Technical Requirements:
Any browser
Identify Major Learning Goals:
To provide students with an online calculator by using Euler’s method to find an approximate solution for first-order differential equations.
Target Student Population:
Students of Differential Equations and Introductory Numerical Analysis can benefit from this site.
Prerequisite Knowledge or Skills:
Completion of the Calculus II course.
Content Quality
Rating:
Strengths:
This site provides users with an online calculator to find the approximate solution of first-order differential equations using Euler’s method to calculate the value of the solution at a specific point. Users can enter their function and evaluation point of their choice with step size h and number of steps n with initial conditions. This site offers a great help for students of Introductory Differential Equations and Introductory Numerical Analysis who want to check the answers of their course assignments and projects when they do practice questions about Euler’s method. This site can be included as a part of lecture or as an extra online tutorial for students.
Concerns:
While the site shows all the intermediate calculation steps, the explanation would benefit greatly from a graph.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
Both instructor and student can use this site in Differential Equations and Numerical Methods for Scientists and Engineers in a lecture about numerical methods for solving differential equations. Students can ask the owner of the site their questions on one of the topics in the site. There is a (lecture notes) section, but it is under construction at this time. There are solved questions and math problems from various topics in Calculus, Differential Equations, and Linear Algebra.
Concerns:
The notes and solved questions are part of the larger eHelp site and do not specifically relate to this Euler’s Method calculator.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
Students and instructors can access this calculator in this site easily, but sometimes calculations can take some time.
Concerns:
The advertisements are intrusive, being interwoven and difficult to distinguish from the content buttons. The opening “download pdf manual” is particularly misleading. There is a reference to sending “Comments” but no such function is visible until you search under “Contact Us” in the fine print at the bottom of the page.
Other Issues and Comments:
None.
Creative Commons:
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