ch06 - Chapter Review Sheets for Elementary Differential...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter Review Sheets for Elementary Differential Equations and Boundary Value Problems, 8e Chapter 6: The Laplace Transformation Definitions: Integral Transforms, Kernel Improper Integral Piecewise Continuous Exponential Order Unit Step Function (Heaviside Function) Unit Impulse Function, Delta Function Convolution Transfer Function, Impulse Response Theorems: Theorem 6.1.1: Comparison Test for Improper Integrals Theorem 6.1.2: Existence of the Laplace Transform, F(s) Theorem 6.2.1: Laplace Transform of f'(t) Corollary 6.2.2: Laplace Transform of f(t) Theorem 6.3.1: Transform of the unit step function, u(1), times a shifted function, f(t) Theorem 6,3.2: First Translation Theorem; Inverse Transforming F(s - c) Theorem 6.6.1: Second Translation Theorem; Convolution Result Important Skills: The Laplace transformation is defined through an improper integral. You must be comfortable evaluating them. Hence you should review this topic in any calculus book.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online