MATH 4660-001 and C SC 4666-001: Numerical Analysis II
Spring 1998, University of Colorado at Denver
Instructor: Prof. Andrew V. Knyazev

Test 2, On Ch. 5,10. May 6, 1998

  1. Apply one step of Euler's method to approximate the solution of the following initial-value problem:
    2.      y'=ty, y(0)=0, with h=1
  2. Apply one step of the Midpoint method to approximate the solution of the following initial-value problem:
    3.      y'=ty, y(0)=0, with h=1
  3. Apply one step of Newton's method for the following nonlinear system:
                    sin(x)=0
                    cos(y)=0

         with initial approximation x0 = 1, y0 = 1.