TRNG I HC CNG NGHIP TP HCM

Khoa Khoa Hc C Bn

THI CUI K MN PHNG PHP TNH

Lp:DHCQ HOC LAI Ngy thi:

Thi gian: 60 pht :

Cu 1. Gii h phng trnh sau bng phng php Seidel (lp ba bc, bc ba c nh

gi sai s)

40 41

25 26

3 20 4

x y z

x y z

x y z

Cu 2. tui trung bnh ln u kt hn ca ph n Nht Bn t nm 1950 ti nm

2000 c cho bi bng s liu sau:

t f t t f t

1950 23,0 1980 25,2

1955 23,8 1985 25,5

1960 24,4 1990 25,9

1965 24,5 1995 26,3

1970 24,2 2000 27,0

1975 24,7

S dng phng php bnh phng b nht, xc nh ,a b ng thng y at b l

xp x tt nht bng gi tr trn. Vi kt qu tm c, hy d on tui kt hn ln

u ca ph n Nht vo nm 2005.

Cu 3. Hm Fresnel 2

0

sin2

x tS x dt

xut hin ln u trong l thuyt v nhiu x

nh sng ca nh ton hc ngi Php Augustin Fresnel (1788-1827). Gn y, hm

Fresnel xut hin trong cc cng trnh thit k ng quc l. Bng cch s dng cng

thc Simpson 1/3 vi s on chia 10n , cc bn hy tnh gn ng 1S .

Cu 4. Gii phng trnh vi phn Cauchy:

3 3, 0;0,02

0 1

y x y x

y

bng phng php Euler ci tin, ci tin 3 bc vi 0,01h .

B mn Ging vin ra