Homework 1 Math 3240-01 Spring 2016
Due January 20, 2016 (Wednesday)
Grading: 24 points (typically 4 points per problem)
1. Find an interval that contains a solution of 4x2
required to estimate the solution within 10 6 ?
ex = 0. Using the bisection method

Math 3240-01
Review Problems for Test 2
March 21, 2016 (Monday)
Name:
Please show all work relevant to the solution.
1. Consider the hyperbola x2 y 2 = 1 and the circle x2 + y 2 = 2. Let (x , y ) represent the intersection
of these two curves in the first

Math 3240-01
Test 1 (40 points possible)
February 17, 2016 (Wednesday)
Name:
Please justify your work in order to receive full credit.
You will receive half-credit for any problem you choose to omit from the grading.
1. (4 points) Let p = 1.987654. Find t

Math 3240-01
Review Problems for Test 1
February 15, 2016 (Monday)
Name:
Please show all work relevant to the solution.
1. Suppose that p is an approximation of p = 1.2345 with relative error smaller than 4 104 . How
many digits of p must match the corres

Homework 5 Math 3240-01 Spring 2016
Due February 15, 2016 (Monday)
Grading: 16 points (4 points per problem)
1. Newtons method provides quadratic convergence for the root problem f (x) = 0 provided that the root p
satisfies f 0 (p) 6= 0. We say p is a roo

Homework 7 Math 3240-01 Spring 2016
Due March 21, 2016 (Monday)
Grading: 4 points per problem
Instructions: Please submit a hard copy of your work for this assignment. All problems are meant to be
completed by hand.
1. Assume that f C 3 [a, b] and define

Homework 6 Math 3240-01 Spring 2016
Due March 4, 2016 (Friday)
Grading: 4 points per problem
Instructions: Please try to submit either a hard copy or a single PDF of your work, programs, results. If
you are using Excel, please submit a single XLS file by

Homework 4 Math 3240-01 Spring 2016
Due February 10, 2016 (Wednesday)
Grading: 20 points (typically 4 points per problem)
1. Consider the fixed-point iteration scheme
1
pn =
2
pn1 +
11
pn1
.
(a) If p0 = 1, compute p1 , p2 , p3 , and p4 by hand. Does it se

Homework 3 Math 3240-01 Spring 2016
Due February 3, 2016 (Wednesday)
Grading: 20 points (typically 4 points per problem)
1. Both Matlab and Excel have round(x,n) functions, which are capable of rounding a floating-point number x
with n digits to the right

Homework 2 Math 3240-01 Spring 2016
Due January 27, 2016 (Wednesday)
Grading: 20 points (typically 4 points per problem)
p
1. Find the largest interval in which p must be to approximate p = 2 with relative error at most 1 10
Hint: You are essentially tryi