Math 351 Fall 2016 Labs

Labs

Lab 1
Lab 2 - Do Exercises: 1.3.12, 1.3.13, and Algorithms and Programs: 1.3.1, 1.3.2
Lab 3 -Algorithms and Programs: 2.1.1
Lab 4 -Algorithms and Programs (use Bisection and/or Regula Falsi code): 2.2.1 (see eqn. 3 pg. 52), 2.2.2 (See eqn. 2 pg. 40), 2.2.3, 2.2.4.
- Modify the Regula Falsi code to implement the improvement discussed in class. Test your code and the original code on solving cos(x)-x=0 with initial interval [0,1]. See: This page on the method
Lab 5 - Do Exercises with Matlab: 3.1.1iii, 3.1.2a, 3.1.3b, 3.1.4, 3.2.1, 3.2.2, 3.2.3, 3.2.4, 3.2.5
Lab 6 - Do Exercises 3.4.11, 3.4.12, and Algorithms and Programs 3.4.1 (your coefficients should be stored in a 3 × N matrix.)
Lab 7 - Do Algorithms and Programs 3.4.6, 3.4.7
Lab 8 - For Exercises 4.4.6, 4.4.7, 4.4.12 compute the difference table by hand and find the Newton polynomial then find and plot the Lagrange polynomial and plot the Newton polynomial using Matlab.
Lab 9 - Write down the Newton Polynomial for a generic function f using the nodes x0, x0-h and x0+h, then compute the derivative and evaluate it at x=x0. This should yield an approximation for f'(x0).
- Do Algorithms and Programs: 6.1.1 parts a,c,e only, but also plot the derivative estimations.
Lab 10 -Algorithms and Programs: 7.2.1(abc), 7.2.5