Abstract

This is a specialized overview of Laplace Transform application to solving differential equations in Mathematica.

Citation

Researchers should cite this work as follows:

• Winkel, B. (2022). 7-005-OverViewLaplaceTransforms-TechniqueNarrative. SIMIODE, QUBES Educational Resources. doi:10.25334/4YYG-GD42

  BibTex | EndNote

Article Context

Resource Type

• Technique Narrative

Differential Equation Type

• ODE

Technique

• Initial Value Problems
• Laplace Transform

Qualitative Analysis

• Other

Application Area

• Mathematics

Course

• Calculus 2
• Differential Equations
• Modeling

Course Level

• Introductory
• Upper Level
• High School

Lesson Length

• One class period

Technology

• Mathematica

Approach

• Guided

Skills

• Other

Key Scientific Process Skills

• Asking a question
• Communicating results

Assessment Type

• Homework

Pedagogical Approaches

• Guided inquiry/investigation

Vision and Change Core Competencies - Ability

• Communicate and collaborate with mathematics community

Principles of How People Learn

• Motivates student to learn material
• Focuses student on the material to be learned

Bloom's Cognitive Level

• Foundational: factual knowledge & comprehension

Description

Even though this is in one system, Mathematica, the approach is an attempt to offer an exposition on the steps in using the Laplace Transform to solve ordinary differential equations.

Article Files

• 7-005-S-OverViewLaplaceTransforms-StudentVersion.nb(NB | 454 KB)
• 7-005-S-OverViewLaplaceTransforms-StudentVersion.pdf(PDF | 279 KB)
• 7-005-T-OverViewLaplaceTransforms-TeacherVersion.nb (Instructors only)(NB | 454 KB)
• 7-005-T-OverViewLaplaceTransforms-TeacherVersion.pdf (Instructors only)(PDF | 278 KB)
• LaplacePic.jpg(JPG | 14 KB)
• License terms

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Comments

Comments

There are no comments on this resource.