Evaluating Definite Integrals on a Computer: Theory and Practice (UMAP)

A unit that involves the theory and practice of evaluating definite integrals on a computer. By the end of this module students will be able to: 1) approach the problem of doing definite integrals on a computer with some knowledge of roundoff error and efficient programming; 2) estimate the truncation error in the trapezoidal rule.

Table of Contents:

1. INTRODUCTION

2. THE TRAPEZOIDAL RULE - THEORY

3. THE TRAPEZOIDAL RULE - PRACTICE

4. IMPROVING THE TRAPEZOIDAL RULE BY ROMBERG'S METHOD

5. REFERENCES

6. MODEL EXAM

7. SOLUTIONS TO EXERCISES

8. SOLUTIONS TO MODEL EXAM