Click here to download a pdf version of this document.

Numerical Analysis I
Homework and Project Schedule

MATH 464
Autumn 1999


Homework Schedule
 
DATE ASSIGNMENT (from Johnson Riess) 
Oct. 1 §1.3: 1b(iii, iv), 4(replace hex with binary), 8, additional problems I
Oct. 8 additional problems II and III; §2.1: 4, 6, 10, 11; §2.2.4: 4, 5, 9, 10, 16, 19
Oct. 15 §2.3: 3, 7, 8, 9, 12a, 12b; §2.4: 5, 7, 8, 9, 13
Oct. 22 §2.5: 1, 3, 4, 5a, 6a, 7
Oct. 28 §4.3.1: 1, 4, 6, 9; §4.3.2: 5; §4.3.3: 2, 7, 9, 12
Oct. 29 
MIDTERM
Nov.  5 §4.4.1: 2, 3, 4
Nov. 12 §5.1: 4; §5.2.1: 1a, 3a, 4a, 11
Nov. 19 §5.2.2: 1, 2, 5, 8, 10; §5.2.4: 3abd, 5, 6, 10, 13
Nov. 24 §5.2.6: 1, 3; §6.2.2: 2, 3, 4, 8, 9, 14
Dec.  3 §6.2.4: 7, 9, 10, 11
Dec. 14 
8:30-10:20 a.m., FINAL EXAM
 Project Schedule
 
DATE
 TOPIC
Oct 22  Tridiagonal linear systems
Nov. 5  Gauss-Seidel method
Nov. 19 Newton's method, fixed point iteration and the secant method
Dec. 6 Polynomial interpolation

Additional Problems:
  1. (Due Oct. 1)
    1. Discover or deduce how the numbers 1/2, 2/3 and 3/5 are represented internally on some computer or calculator you use.  Use an appropriate notation, i.e. binary, decimal, hexadecimal, etc.  You will have to give both an exponent and a mantissa.
    2. Consider the following "program" (it might be in fortran, matlab, S-Plus, C or other language, though the particular languages assignment operator might have to be substituted for "=", i.e. in S-Plus "<-" means assign)

      3.     H=1./2.
          X=2./3.-H
          Y=3./5.-H
          E=(X+X+X)-H
          F=(Y+Y+Y+Y+Y)-H
          Q=F/E
          "OUTPUT" Q
      The variable Q can take on several different values depending on the floating-point arithmetic hardware used by the computer or calculator.  Try to figure out the value of Q for some computer you are familiar with, preferably the same one you used in the previous part. Run the "program" on that computer and explain your results. If you use a computer for this, your write up of your solution should specify what computer, what language, include a copy of the "program" as it was used on the computer and the results and your explanation.  If you use a calculator, give as much of this information as makes sense in that setting.
  2. (Due Oct. 8) Describe a method to compute f(x) = (1 - cos x )/x when |x| is small.
  3. (Due Oct. 8) Desribe a method to compute g(x) = ( log x - 1 ), when x  is close to e.

[Last Modification Date Image]

Click here to download a pdf version of this document.
Back to the Math 464 Home Page
[Left Arrow]