Matlab Dasar Supriyono

7/23/2019 Matlab Dasar Supriyono

1/11

I. PERHITUNGAN SEDERHANA

1.1. Operasi Aritmatika.

a = 10; Simbol konstanta a = 10

b = 15;c = a+b Simbol Penjumlahan

d = a-b Simbol Pengurangan

e = a*b Simbol Perkalian

f = a/b Simbol Pembagian

Hasilnya adalah :

! "#d ! $#e ! 1#%& ! %.'''(

1.". )*n+si$)*n+si ,atematika Um*m.

alha = i/!;

a = i

b = sin"alha# Simbol Sinus

c = cos"alha# Simbol $osinus

d = tan"alha# Simbol %angen

e = cot"alha# Simbol $otangen

f = sec"alha# Simbol Secan

Simbol $osecan file not found

Hasilnya adalah :a ! -.11'/ ! %.0''% ! %.#%%%d ! 1.(-"1e ! %.#((& ! ".%%%%

& = ';

a = e&" Simbol (&onensial

b = log" Simbol )ogaritma atural "ln#

c = log10" Simbol )ogaritma "log#

e = srt" Simbol akar, = -!.;

f = abs",# Simbol arga 2utlak

g = round",# Simbol Pembulatan ke arah bilangan bulat terdekat

h = fi&",# Simbol Pembulatan ke arah nol

3 = 1+4i;

i = real"3# Simbol bagian real suatu bilangan komleks

j = imag"3# Simbol bagian imajiner suatu bilangan komleks

= 15;

6 = ';

1


2/11

k = rem"76# Simbol Sisa embagian /6

Hasilnya

a ! #.#0"/ ! 1.-0'-

! %.'%"1e ! "& ! -.'(0%+ ! $h ! $-i ! 1

2 ! "k ! -

1.-. Operasi ,atriks.

8 = 91 -4 !; ' 4 0; -1 ! 4: Penulisan Sebuah 2atriks berukuran ! & !

= 9! 5 -4; -' ! 4; 0 1 4:

$ = 8+ Simbol Penjumlahan dua buah matriks

< = 8* Simbol Perkalian dua buah matriks

( = in"8# Simbol iners matriks 8

= 8> Simbol matriks 8 %ransose

? = det"8# Simbol harga sebuah


3/11

) ! 1 $1 $" " - - % "

G ! '"

H ! %.'-( 5 -.0(1i %.'-( $ -.0(1i .%("(

6 ! %.'""0 %.'""0 %.-1#"$%.""%- $ %.###'i $%.""%- 5 %.###'i %.'%0-$%."#0" 5 %.--0i $%."#0" $ %.--0i %.("0

H ! %.'-( 5 -.0(1i % %

% %.'-( $ -.0(1i %

% % .%("(

-


4/11

II. PE,ROGRA,AN den+an ,AT7A3

2.1. Pemrograman Sekuensial.

a = 10; Suatu konstanta a

b = 15; Suatu konstanta b

c = a/b; Suatu ariabel c = a/b

d = a + b + c; Suatu ariabel d = a + b + c + ddis"9a b c d:#

Hasilnya adalah :

1%.%%%% 1#.%%%% %.'''( "#.'''(

2.2. Pemrograman Pencabangan.

I) 8 THEN 8 E7SE

& = .;

if & A 5, = &*& - 4*& - !; Bika kondisi C,aD

else

, = &*& - !*& - '; Bika kondisi CtidakD

end

dis"9& ,:#

Hasilnya adalah :

' "1

2.3. Pemrograman Perputaran.

)OR $ END

&=0;

n=!;

for i=1En+1

f"i#=-"05*&F'#+"'*&F!#-"10*&F4#+"5*+1;

&=&+h;

end

dis"9f"i#:#;

Hasilnya adalah :

1

1.(#%

".--1"

".(#%


5/11

III. TOO73O9 ,AT7A3 *nt*k ,ETODE NU,ERI

3.1. Akar-Akar Persamaan.

Deskripsi permasalahan :

H*k*m +as ideal di/erikan ;leh :

pV = nRT

H*k*m +as n;n$ideal :

( )p a

v b RT

v+

=2

)ile pertama : ,en*liskan &*n+si &

?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$? Pers;alan : Akar$Akar Persamaan

? as*s : H*k*m $ H*k*m Gas Ideal dan N;n Ideal?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&*nti;n y ! akar, = " + a/"F4##*"-b# - G*%;

)ile ked*a : ,en*liskan t;;l/;= &er;

?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$? Tetapan Sat*an eteran+an?R ! %.%0"%#B ? 7Catma ! -.#"B ? ;nstanta empiris ar/;n Di;ksida/ ! %.%"'(B ? ;nstanta empiris ar/;n Di;ksida

T ! -%%B ? Dera2at al@inp ! 1B ? atm?$$$$$$$$$$$$$$$$$$$$? Persamaan Gas Ideal@1 ! p?$$$$$$$$$$$$$$$$$$$$?$$$$$$$$$$$$$$$$$$$$$$$$? Persamaan Gas N;n Ideal@" ! &er;

Hasilnya adalah :

".'1'"

3.2. Sistem Persamaan Linier.

Deskripsi permasalahan :

'1$ - ! #%

#


6/11

$ -15 -"! %$ " 5 -! 1'%$ " $ 0-5 11$ "# ! %

$ -1$ " 5 # ! %

)ile : ,en*liskan matriks AF 3 dan penyelesaian matriks 4.

? Pers;alan : Sistim Persamaan Al2a/ar? as*s : Analisis eadaan T*nak s*at* Ran+kaian Reakt;r?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$? '41 $ 4- ! #%? $-41 5 -4" ! %? $ 4" 5 4- ! 1'%? $ 4" $ 04- 5 114 $ "4# ! %? $-41 $ 4" 5 4# ! %?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

A ! ' % $1 % %B $- - % % %B % $1 % %B % $1 $0 11 $"B $- $1 % % 3 ! #% % 1'% % %4 ! 3A

H------------------------------------

Hasilnya adalah :

11.#% 11.#% 1.%#'' 1'.0- 11.#%

-.-. Pen;;kan *r@a

Unt*k k*adrat terkeil *nt*k k*r@a linier g(x) = a + bxF parameter a dan / dapat

diper;leh dari r*m*s diatas se/a+ai :

( )

=

22

xxyxyx

ii

iiii

n

nb dan xbya =

G*nakan met;de k*adrat terkeil *nt*k mendapatkan persamaan re+resi dari

k*mp*lan data /erik*t ini :

= ' 0 1% 1 1' "% "" " "0

y -% 10 "" "0 1 "" 1' 0 "% 0

)ile : ,en*liskan matriks AF 3 dan penyelesaian matriks 4.? as*s : Analisis Re+resi dari Data Tin++i Semaam T*m/*han?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$? Data Tin++i T*m/*han dan Jakt* 9 ! 1F 1F 1F "F "F "F "F -F -F -F -F F F F #F #F #F #F 'F 'F 'F 'F (F (F (F 0F 0F 0F FF 1%F 1%F 1% ! 'F 0F F 1#F 1"F 1-F 1-F "-F "-F "%F "#F "(F "F -%F -%F --F -"F -#F -(F -(F-'F -#F -0F -'F -'F -0F -'F -F -F -0F %F -0F "?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

'


7/11

? Perhit*n+an persamaan Re+resi k*adratik dan +ra&iknya4 ! p;ly&it


8/11

*antitas T;tal dari Panas ,aterial.

?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&*nti;n y ! l*asy ! 1%%%C


9/11

$elesaikan %ersa&aan di'erensial !erikut ini dengan %rgra& &atla! :

y = -2x3 + 12x2 - 20x + 8,5 den+an k;ndisi aal y =1pada saatx =0

File pd.m

&*nti;n dy!s*priB

dy!$"C=L-51"C=L"$"%C=50.#B

File modul6a.m

=Fn*my!;de#

pl;t

title

=la/el

yla/el

Hasil Program

". Selesaikan persamaan di&erensial sim*ltan persamaan


10/11

File simultan.m

&*nti;n =d;t!sim*ltan

=d;t!er;s!


11/11

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Matlab Dasar Supriyono