A Unified Method for Finding Laplace Transforms, Fourier Transforms, and Fourier Series (UMAP)

This unit presents a method which facilitates the finding of the Laplace transform, the Fourier transform, the complex Fourier series, the real Fourier series, and the half range sine series when the given a piecewise continuous function.

Table of Contents:

1. INTRODUCTION

2. THE METHOD EXPLAINED

3. THE METHOD IN ACTION
3.1 Example 1
3.2 Example 2
3.3 Example 3
3.4 Example 4
3.5 Example 5
3.6 Example 6
3.7 Example 7
3.8 Example 8

4. ANSWERS TO EXERCISES

5. MODEL EXAM

6. ANSWERS TO MODEL EXAM