YOUR NAME:
Midterm, Numerical Analysis, March 3, 2010, with answers.
1. Newtons method for polynomial interpolation works with divided differences f [x0 , x1 , . . . , xk ] for increasing values of k.
MATHUA.0252, Georg Stadler (NYU Courant)
Spring 2017: Numerical Analysis
Assignment 4 (due Mar. 30, 2017)
1. [1+1pt] Let A Rnn be symmetric.
(a) Proof that all eigenvalues of A are real.
(b) Proof th
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Solve the nonlinear equation
2x  tan(x) = 0
using different fixed point iterations
first does not converge, second converges linearly, third converges
quadratically (it's Newton written as
Assignment Set 5, UAMATH02521
Olof Widlund
April 13, 2014
The following assignments are due on April 25 at 12:30pm. No
homework will be accepted after that time. You should give me your
homework in
Assignment Set 4, UAMATH02521
Olof Widlund
March 31, 2014
The following assignments are due on April 11 at 12:30pm. No
homework will be accepted after that time. You should give me your
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Assignment Set 3, UAMATH02521
Olof Widlund
March 11, 2014
The following assignments are due on March 28 at 12:30pm. No
homework will be accepted after that time. You should give me your
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Assignment Set 1, UAMATH02521
Olof Widlund
January 31, 2014
The following assignments are due on February 14 at 12:00 noon.
No homework will be accepted after that time. You should give me
your home
Assignment Set 2, UAMATH02521
Olof Widlund
February 17, 2014
The following assignments are due on February 28 at 12:00 noon.
No homework will be accepted after that time. You should give me
your hom
Assignment Set 6, UAMATH02521
Olof Widlund
April 24, 2014
The following assignments are due on May 6 at 12:30pm. No
homework will be accepted after that time. You should give me your
homework in cla
Numerical Analysis, Midterm, March 6, 2014, with answers.
Cross out what is not meant to be part of your answers.
For full credit motivate your answers.
1. Consider the equation x2 2 = 0.
(a) Starting
YOUR NAME:
Numerical Analysis, Midterm, March 31, 2015.
Cross out what is not meant to be part of your answers.
For full credit motivate your answers.
1. (a) What is the purpose of the Sturm sequence
YOUR NAME:
Numerical Analysis, Midterm, March 6, 2012 With Answers.
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For full credit motivate your answers.
1. (a) What is Newtons interpolation
YOUR NAME:
Numerical Analysis, Quiz # 1, February 16.
With Solutions.
Cross out what is not meant to be part of your answers.
1. Show that the midpoint rule of numerical integration
(b a)f (a + b)/2)
YOUR NAME:
Numerical Analysis, Quiz # 2, February 28.
Cross out what is not meant to be part of your answers.
1. Given an interval [a, b] and a weight function w(x), which is strictly
positive in the
YOUR NAME:
Numerical Analysis, Quiz # 3, April 10.
Cross out what is not meant to be part of your answers.
1. Consider the equation f (x) = x4 2x3 = 0. We wish to compute
both its roots by using Newto
YOUR NAME:
Numerical Analysis, Quiz # 4, May 1.
Cross out what is not meant to be part of your answers.
1. Consider the double precision oating point numbers each of which
are stored using 64 bits. Of
MATHUA.0252 (Georg Stadler, NYU Courant)
Dongchen Zou
Assignment 2 (Feb. 23, 2017)
1. [2+2+1+1pt] Newtons method computes the new iterate xk+1 as the xintercept of the
line of best fit through the p
Numerical Analysis:
Midterm Exam
Spring 2017
Name:
This exam is scheduled for 70 minutes. No calculators, notes or other out
side materials are. permitted. The exam is worth 65 points.

Problem P
1.
This question is about internal energy and thermal energy (heat).
(a)
Distinguish between internal energy and thermal energy.
.
.
.
.
.
(3)
(b)
Describe, with reference to the energy of the molecul