8/12/2019 Syllabus_MAT114_1.1_MVCDE
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Subject CodeMAT114
Title : Multivariable Calculus and DiferentialEquations
L T PC3 2 4
Version No. 1.1CoursePrerequisites
102 le!el M"t#e$"tics%&"sic M"t#e$"tics'MAT001(
)bjecti!es T#is M"t#e$"tics course *ro!ides requisite "nd
rele!"ntb"c+,round necess"r- to underst"nd t#e ot#er i$*ort"nt
en,ineerin, $"t#e$"tics courses oered /or n,ineers
"ndScientists. T#ree i$*ort"nt to*ics o/ "**lied $"t#e$"ticsn"$el-
t#e Multi*le inte,r"ls Vector c"lculus L"*l"cetr"ns/or$s #ic#
require +noled,e o/ inte,r"tion "reintroduced.
*ected)utco$e
At t#e end o/ t#is course t#e students "re e*ected to le"rn'i(
#o to e!"lu"te $ulti*le inte,r"ls in C"rtesi"n C-lindric"l
"nd S*#eric"l ,eo$etries.'ii( t#e *oer/ul l"n,u",e o/ Vector
c"lculus it# *#-sic"l
underst"ndin, to de"l it# subjects suc# "s luid5-n"$ics "nd
lectro$",netic 6elds.
'iii( to sol!e ordin"r- dierenti"l equ"tions directl- "nd
"lsouse tr"ns/or$ $et#ods #ere its *ossible
7nit Nos. 7nit Title Nu$ber o/#ours '*er 7nit(
Unit 1 Mutivariable Calculus 8L3T #oursunctions o/ to
!"ri"bles9li$its "nd continuit-9*"rti"l deri!"ti!es tot"l
dierenti"lT"-lor;s e*"nsion /or to !"ri"bles$"i$" "nd
$ini$"constr"ined $"i$" "nd$ini$"9L",r"n,e;s $ulti*lier $et#od9
cientssolutions o/ #o$o,enous "nd non #o$o,enous equ"tions9 $et#od
o/ undeter$inedcoe>cients $et#od o/ !"ri"tion o/ *"r"$eters
equ"tions reducible to line"requ"tions it# const"nt
coe>cients
Unit ! "aplace #rans$or%s 8L3T #ours5e6nition9L"*l"ce tr"ns/or$s
o/ /unctions9*ro*erties o/ L"*l"ce tr"ns/or$s9initi"l "nd6n"l
!"lues t#eore$s9in!erse tr"ns/or$s9tr"ns/or$s o/ *eriodic
/unctions9con!olution t#eore$ste* /unctions i$*ulse /unctionst#e
solution o/ dierenti"lequ"tions usin, LT.Tet &oo+s rin ?re-s@i,
Advanced Engineering Mathematics 8t#dition
ile- Bndi" P!t. Ltd. '2011(.To*ics in t#e C#"*ters:92D8101.
Ee/erence &oo+s 1. &. S.=re"l Higher Engineering
Mathematics 40t#
dition.
