Differential Equations

Laplace Transform: Basics

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Session Overview

We introduce the Laplace transform. This is an important session which covers both the conceptual and beginning computational aspects of the topic. Fortunately, we have lots of Professor Mattuck’s videos to complement the written exposition.

Session Activities

Read the course notes:

• Laplace Transform: Basics: Introduction (PDF)

Watch the lecture video clip:

• Laplace Transform

Read the course notes:

• Definition of Laplace Transform (PDF)

Watch the lecture video clips:

• Notation and Linearity
• Start of Laplace Table

Read the course notes:

• Domain of F(s) (PDF)

Watch the lecture video clips:

• Functions of Exponential Type
• Laplace Transform of Powers

Read the course notes:

• More Entries for the Laplace Table (PDF)
• Laplace Transform Table (PDF)

Check Yourself

Take the quiz:

• Computing the Laplace Transform (PDF)
• Choices (PDF)
• Answer (PDF)

Session Activities

Read the course notes:

• The Laplace Transform of the Delta Function (PDF)

Watch the problem solving video:

• Laplace Transform: Basics

Complete the practice problems:

• Practice Problems 27 (PDF)
• Practice Problems 27 Solutions (PDF)

Check Yourself

Complete the problem sets:

• Problem Set Part I Problems (PDF)
• Problem Set Part I Solutions (PDF)
• Problem Set Part II Problems (PDF)
• Problem Set Part II Solutions (PDF)

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