ENGINEERING MATHEMATICS 4ENGINEERING MATHEMATICS
4BDA34003Lecture Module 1:IntroductionWaluyo Adi
[email protected] Engineering Mathematics 4Waluyo
Adi Siswanto ([email protected]!Course ObjectiveThe main objective
of learning Engineering Math 4 is to provide students with the
tools of NUMERICAL METHODSNUMERICAL METHODS.Engineering Math
4umerical Methods !umerical "nal#sis$BDA34003 Engineering
Mathematics 4Waluyo Adi Siswanto ([email protected]!
Outco"es"t the end of the course studentsshould be able to:A""ly
the #nowledge o$ di$$erentiation and integration and standard
numerical analysis to sol%e mathematical "ro&lems. ('3(
)*+,-nde"endently "roceed to li$e long learning in im"ro%ing the
#nowledge. (A!( )*+.BDA34003 Engineering Mathematics 4Waluyo Adi
Siswanto ([email protected]#$at %ou ca &o'( problem
illustrations )%ou can anal#&e this problem' and man# othersx"
( ) * E1 o) 1.1+4 o) 1.1+4 o) 1.1,+1 o) 1.,+1 o)-., -., -., -.,
-.,.1 o)Tt =0./!T x!Aa(%sis Resu(tsBDA34003 Engineering Mathematics
4Waluyo Adi Siswanto ([email protected]/#$at %ou ca &o'(
problem illustrations )%ou can prepare programming codes
function[L,U,d,x]=doolittle(A,B)[m n]=size(A);if (m ~= n )disp (
'LR2 eo! "#tix must $e s%u#e'
);etun;end;L=zeos(m,m);U=zeos(m,m);& LU 'ecomposition
('((L)**L+ "+*,(')fo i=-!mfo .=-!i/-L(i,.)=A(i,.);fo 0=-!./-L(i,.)=
L(i,.)/L(i,0)1U(0,.);endL(i,.) = L(i,.)2U(.,.);endfo .=i!mU(i,.) =
A(i,.);fo 0=-!i/-U(i,.)= U(i,.)/L(i,0)1U(0,.);endendendfo
i=-!mL(i,i)=-;+nd& 3o4#d su$stitution 'Ld=$' to sol5e
dd=zeos(m,-); d(-)=B(-)2L(-,-);fo i=2!md(i)=/L(i,-)1d(-);fo
.=2!i/-d(i)=d(i)/L(i,.)1d(.);end;d(i)=(B(i)6d(i))2L(i,i);end;&
B#c4#d su$stitution 'Ux=d' to sol5e
xx=zeos(m,-);x(m)=d(m)2U(m,m);i=m/-;%=7;48ile(i~=
7)x(i)=/U(i,m)1x(m); %=i6-;48ile
(%~=m)x(i)=x(i)/U(i,%)1x(%);%=%6-;end;x(i)=(d(i)6x(i))2U(i,i);i=i/-;end;BDA34003
Engineering Mathematics 4Waluyo Adi Siswanto
([email protected])ereces (1)D. V. Griffiths, I. M. Smith.
2006. Numerical methods for enineers, 2th !dition. "oca#aton,
$%& 'ha(man ) *all.(2)+. N. Sharma. 200,. Numerical methods for
enineers and scientists, -an.ourne& /l(ha Science
International.(0)+aan 1iusalaas. 2002. Numerical methods in
enineerin 3ith M/4%/", 'am.ride& 'am.ride 5ni6ersit7
-ress.(,)+ohn *. Mathe3s, 1urtis D. $in8. 200,. Numerical methods
usin M/4%/", ,th !dition. 5S 5((er Saddle #i6er, N+& -earson
!ducation.(2)%aurene $ausett. 2002. Numerical methods usin Math'/D,
5((er Saddle #i6er, Ne3 +erse7.(6)Ste6en '. 'ha(ra, #a7mond -.
'anale. 2002. Numerical methods for enineers& 3ith soft3are and
(rorammin a((lications, ,th !dition.(9)Nafisah Md 1amaruddin, et.
al. 200:. Numerical Method. -usat -ena;ianSains, 54*M. (:)4a7 1im
Gai8. 2002. *o3 to use 'alculator 'asio f. (?)4a7 1im Gai8, %im
1ian "oon and #osmila /.dul 1ahar. 2011. Numerical Methods usin
'asio f
