GRAPHIC ERA UNIVERSITY, DEHRADUN Ist Semester 2016-17 Mode Co!rse H"#do!t
Date 02-07-2016 Course No. Course Title Title Instructer Instruct er in Charge
: TMA -101 : Eng Mathematics-I : Dr. !.".Tri#athi !.".Tri#athi
:
I#str!$tor%s& ' 1( 2( ( (
Dr See Seem" S")# S")#)) Dr( Dr( M"#* M"#*e+ e+ R"m R"m Dr( Dr( M!e M!es. s. /! /!m" m"rr Md( T" T"ms. ms.)r
Co!rse P"#' e$t!re No(
e"r#)#* 34e$t)5es
1-$
Intro%uction o& Ma Matri' ( )in%s o& Matri'( !an* +, Echelon metho% as ell as +, Normal metho% Consistenc, o& s,stem o& linear euation o& omogenous an% Nonhomogenous euation In4erse +, Ca,le, amilton Theorem 4ari&e, ( Eigen 4alues an% Eigen 4ectors Diagonalisation o& a matri' ( com#le' matri' ( ermitian matric Intro%uction o& o& %i %i&&erential calculus( successi4e Di&&erentiation Di&&erentiation o& higher or%er %eri4ati4e tatement o& 8ei+nit9 theorem (
-6
7-3
/-11
12-1
1-17 13-20
To)$s to 3e $o5ered
Reere#$e C."(8Se$(%9oo& Intr Intro%u o%uct ctio ion n an% an% !an* !an* .).D .).Das as Cha# Cha# 1( ##.$-1/
Consistenc, o& euations
.).Das Cha# 1 ##.6-/
5ari&ication o& Ca,le, .).Das Cha# 2 Theorem an% In4erse ##./6-1$$ Diagonalisation
.).Das Ch Cha# $ ##. 1$-16$
uccessi4e Di&&erentiation
.).Das Cha# $ ##. 16/-172
8ei+nit9 Theorem
.).Das Cha# ##. 172- 1/1 .).Das Ch Cha#
21-22
2$- 2 2-27
23-2/
$0-$2 $$-$ $6-$3 $/-1 2-$ -
EC No
#artial %i&&erentiation omogenous &unction( Eulers theorem( Ta,lors Theorem #ro+lems relate% to them E'#ansion o& ;unction o& to or more 4aria+les Intro%uction o&
o& &unctions o& to or more 4aria+les( metho% o& 8agrange multi#liers Intro%uction to integration ( Dou+le an% tri#le integrals( Change o& or%er o& integration( ?eta an% @ama &unctions A##lication to area( 4olume( Dirichlets integral Intro%uction( o& 5ector calculus(Di4ergence an% curl 8ine( ur&ace an% 5olume Integral @reens( to*e an% @ausss theorem
Component
Duration
Eulers Theorem
Ta,lors Theorem
##.17$-212 .).Das Cha# 6 ##. 21-266 .).Das Cha# 7 ##.$$6-$0 .).Das Cha# 3 ##. $1-$32
Ma'ima an% Minima
.).Das Cha# / ##.$/3- $3
Dou+le an% Tri#le Integral ?eta an% @ama &unctions Calculation o& Area an% 4olume 5ector calculas
.).Das Cha#ter / ##. $/- 63 6/-613
8ine( Integral
630-6/
@reens Theorem
6/3-7$
Marks
Weightag
621-61 622-67/
Date &
Nature
.
e (%)
Time
1.
Mid Term Test
2 hrs
60
30
2.
End Term Exam
3 hrs
100
60
3.
Assignments
50
5
See Note 1
4.
Class test/arti!iatio n
10
5
See Note 2
Note 1" Total #$e assignments %ill &e gi$en in the entire semester '10 mar(s ea!h) %hi!h %ill !ontain n*meri!al as %ell as theor+ ,*estions. 'i)
Assignment 1 Matri!es N*meri!al -ro&lems
'ii)
Assignment 2 N*meri!al ro&lems
'iii)
Assignment 3 N*meri!al ro&lems
'i$)
Assignment 4 M*ltile ntegrals
'$)
Assignment 5 e!tor Cal!*las
Note 2" T%o !lass tests %ill &e !ond*!ted in this semester the date %ill &e anno*n!ed s*&se,*entl+ in the rese!ti$e !lasses. *t these the &est erorman!e in an+ one test %ill &e !onsidered.
Chamber Consultation ours " r. Seema Saini "T*esda+ and Sat*rda+ 35 m r.Mange+ am " Monda+ 35 and Th*rsda+ 1012 noon r.M*(esh *mar " Md. Tamshir"
7ednesda+ and Th*rsda+ 1101 noon
8rida+ 35 and Th*rsda+ 1012 45 m
Noti!es" All noti!es !on!erning this !o*rse %ill &e disla+ed on the Mathemati!s eartment Noti!e 9oard and %ill also &e a$aila&le in the 9. Te!h st +ear %e&site. %%%.&te!hge*.in
