FIRST EXAM

Course: Applied Numerical Analysis, ME $2020,$ Section: $07.$

Prof: Hugo Peliez,

Student name:

Establish the best association: $(10$ pts$.)$

$2.$ True $($T or false $($F$)$: $(5$ pts$.)$

a$)$ Numerical methods permits to find exact solutions to complex problems

b$)$ Secant method and false position method have similar formulas

c$)$ In general, Newton$-$Raphson is faster than bisection method

d$)$ Round$-$off errors decrease with the number of calculations performed

e$)$ Truncation errors increase with the number of terms used

A$)$ Newton$-$Raplison

appears when consider a finite number of terrus in algorithms

b$)$ Diveryence

Yellicient open technique that requires the derivative.

c$)$ Truncation error

V natural base number representation for computers

d$)$ Tolerance

electronic device used to perform calculations

d$)$ False position method

$"$ describe a system in mathematical terms

$1)$ Jacchian.

differences of estimates increases in each step

$2)$ Computer

arise bocause a finite amount of digits is used

h$)$ Round$-$off error

bracketing method

Ny Modeling

related to solution of systems of nonlinear equations

$3)$ Binary number

small quantity used to stop calculations.

$3.$ Find the equivalent decimal number of the following binary number,