Find the smallest values of n m so that Algorithm 4.5 can be used to approximate the integrals in Exercise 1 to within ItU6 . Do not continue beyond n = m = 5. Compare the number of functional evaluations required to the number required in Exercise 2

Math 340 Lecture – Introduction to Ordinary Differential Equations – February 22 , 2016 nd What We Covered: 1. Quiz a. Highlights i. Euler’s Method and Matrix Algebra 2. Course Content – Chapter 7: Matrix Algebra a. Section 7.1: Vectors and Matrices i. The goal of matrix is to solve linear systems ii. Matrix: a rectangular array of numbers iii. Entries/Components: the numbers that appear in the array iv. Example: 1. For a system like 3 + 2 − 5 = 5 4 − + 5 = 0 2. We