Math Tytor DVD – The Laplace Transform Tutor

The Laplace Transform is one of the most powerful mathematical tools that can be used to solve a wide variety of problems in Math, Science, and Engineering.

We begin this course by discussing what the Laplace Transform is and why it is important. Next, we show the Laplace Integral, and derive several fundamental transformations that we will use in the remainder of the course. We also discuss the Inverse Laplace Transform and derive several inverses.

We discuss how to solve Ordinary Differential Equations (ODEs) with initial conditions and work several examples to give practice with real problems. Finally, we discuss the shifting properties of the Laplace Transform and how to work with piecewise defined functions.

At the end of the course, the student will be very comfortable with the Laplace Transform in both theory and practical application to problems.

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Disk 1
Sect 1: Laplace Transform Definition
Sect 2: Deriving the Essential Transforms, Part 1
Sect 3: Deriving the Essential Transforms, Part 2
Sect 4: Table of Laplace Transforms, Part 1
Sect 5: Practice Calculating Laplace Transforms, Part 1
Sect 6: Practice Calculating Laplace Transforms, Part 2
Sect 7: Practice Calculating Inverse Transforms, Part 1
Sect 8: Practice Calculating Inverse Transforms, Part 2
Sect 9: Solving ODEs with Laplace Transforms, Part 1
Sect 10: Solving ODEs with Laplace Transforms, Part 2

Disk 2
Sect 11: Solving ODEs with Laplace Transforms, Part 3
Sect 12: Solving ODEs with Laplace Transforms, Part 4
Sect 13: Solving ODEs with Laplace Transforms, Part 5
Sect 14: Solving ODEs with Laplace Transforms, Part 6
Sect 15: Solving ODEs with Laplace Transforms, Part 7
Sect 16: More Properties of the Laplace Transform, Part 1
Sect 17: More Properties of the Laplace Transform, Part 2
Sect 18: More Properties of the Laplace Transform, Part 3
Sect 19: Laplace Transform of Piecewise Functions, Part 1
Sect 20: Laplace Transform of Piecewise Functions, Part 2
Sect 21: Laplace Transform of Piecewise Functions, Part 3
Sect 22: Summary of Laplace Transform Rules

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