Wolfram U

Introduction to Laplace Transforms

  • Interactive Course
  • Intermediate

Course Level: Intermediate

Requirements: Single Variable Calculus and Differential Equations courses

Summary

The Laplace transform provides an effective and easy means for solving many problems in the fields of science and engineering. This introductory course presents the theory and applications of this transform. Early sections of the course explain the Laplace transform and its inverse, essential properties, methods for evaluation and numerical algorithms. Later sections are dedicated to applications of the Laplace transform, as it is one of the main tools available for solving differential equations. These topics are typically found in university courses on applied mathematics and electrical engineering.

Featured Products & Technologies: Wolfram Language (available in Mathematica and Wolfram|One)

You'll Learn To

  • Apply properties of the Laplace transform
  • Evaluate a variety of inverse Laplace transforms
  • Use numerical algorithms for Laplace inversion
  • Solve differential equations using Laplace transforms
  • Compute integrals and sums using Laplace transforms

About This Interactive Course

It's free and easy to get started with open interactive courses using the Wolfram Cloud—sign in with your Wolfram ID or create one. No plan is required. This interactive course includes video lessons, quizzes, practice problems, a final exam and a scratch notebook, all in an easy-to-use interface. From the interactive course, click Track My Progress to chart your certification progress as you go. Recommended best practice for completing this interactive course is to start with Lesson 1 and progress through the video lessons, taking each quiz in the order it appears in the table of contents.