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Guidelines and tips
Guidelines and tips

Maths easy tips and formulas, Cheat Sheet of Engineering Mathematics

This document have some important formulas and tips which can help you in your exam preparation. Thankyou

Typology: Cheat Sheet

2024/2025

Available from 05/24/2025

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bg1
*
LagHanges
A.E
FNN-subject
..
EM-..Course/Sem
G.3
e
C.A.E
BHAGWANT GROUP OF INSTITUTIONS
G..
Hin
Name
*
Chaxbit
method
asher
d
de
wing
AL
dg
dz
hd
t
and
in
tom
o)
,y,z
Put
the
Vdue
oj
þanta
in
dz
bdu
+4dy
Irtgvat
abovee
R
d
MUZAFFARNAGAR
(U.P.)
method
#
CE
ton
H,).PD.E
vit CC.
2
Name
of Institute
#
LPDE
wih
constant
Co
he
I Homo. LPPE
wih
C.C,
7
Nek>
(
PD.u
oy
tame ov der)
da
(4,0a,
o
b'+
...
..
+a, D")z
=foy)
int
dA
Case-
when
uett
an
meapekd
m,
is,
mg
filytm,
) +
f,ly+m)
fs(ytm,)
When
ots
aune
dij
Case-|)
when
D,
D'
both
D
and
o'au
(ommon
ator
CF
CoIespnding
to
0'2=
f
()
IL3Shn.
Date
2l22e25
)
Roll
No.
and
+ PartHcala
integsul
(Pr)
Replate.
PI
-
Da
=
fi(9)
fCo,
D')
D=a,
d'=bi
E(4,
b)
2 o
(ax+
by)
imp
formula'sted
IPr=(oa)
dude.ntiru
ca.b)
-o
cwe
oiln
f(9,b)
itfomady
ww
2sin A
Cos8
=
sin
CR
+8)
+
sin
CA-B)
2(asA
sinB
=
sin
CA
t8) -
sin
(A-8)
2 e A
CaJB
-
CosCAt
8)
+
(os(A-B)
aechmark
o
0+xf=
-*+
-'x
c'y
n
te
y
pf3
pf4

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* LagHanges

A.E

FNN-subject ..EM-..Course/Sem

G.

e

C.A.E

BHAGWANT GROUP OF INSTITUTIONS

G..

Hin

Name

* Chaxbit method

asher

d de

wing

AL

dg dz

hd t and in tom o) ,y,z Put the Vdue oj þanta in

dz bdu +4dy
Irtgvat abovee

R

d

MUZAFFARNAGAR (U.P.)

method # CE^ ton^ H,).PD.E^ vit^ CC.

2

Name of Institute

# LPDE^ wih^ constant^ Co

he I^ ’^ Homo. LPPE

wih^ C.C,^7 Nek> (^ PD.u^ oy^ tame ov^ der)

da

(4,0a, o^ b'+^ ...^ ..^ +a, D")z=foy)
int dA

Case- when uett an meapekd

m,is, mg^ filytm,^ ) +f,ly+m)^ fs(ytm,)

When ots aune dij

Case-|) when D, D' both Dand o'au (ommon ator

CF CoIespnding to 0'2= f ()

IL3Shn. Date 2l22e

)

Roll No.

and

+ PartHcala^ integsul^ (Pr)

Replate.

PI -

Da = fi(9)

fCo, D') D=a, d'=bi^ E(4,^ b)^2 o

(ax+ by)

imp formula'sted

IPr=(oa) dude.ntiru

ca.b) -o^ cwe oiln

f(9,b)

itfomady ww 2sin ACos8^ =^ sin^ CR^ +8)^ +^ sin^ CA-B) 2(asA sinB =^ sin^ CA^ t8)^ -^ sin^ (A-8) 2 e ACaJB - CosCAt 8) + (os(A-B)

aechmark

o 0+xf= -*+ -'x

c'y n te y

CF

Tybe-T N. H. L.P.DEwith CC.

Case - I

Case -I

(0-mD- a,) = e y+mx)

. (04 m,D-4)

e-m)

(o-mo-a)'z = f(ny)

PI

Paniculan intgal (Pr)

6(D,D')

D ab

Unit-

whne (^) x' dx d

ohe dimenional wave

+one dimesiona hal egh
eF Two dimeneionat Rat ea,h

jet ondiydi e

Case-1 (omteY net

yx

CF Caue- Whn^ A.E^ ha^ leal and^ olu^ hnet^

oot

tip CF^ =eGCosp*^ + Gsin^ px)

Gep

SKeWns

mehod o measwiny skewn
’ Kud beasoni stawnes
Kund betoiond coiut o skewna SK+)

" SKp= (^) Mean- Mode S,D

it

whe (^) mode= (^3) maian 2m tan " Skþ - 3Cmeah - mediah) S.D.

mean = mode A,

ü) Skp 0

Distibutin is^ tve (^) skeud

fmean<mode Hsn Ditu (^) bution -ve (^) skeved

moment Co iciut

Skewns (Sku)

# kwtosis

1,- A- Not

i JE>). Y>oJ

muokytc

) T& dliutibut'en Lepokutsi

) Platykutie

Cwve iting ine of gm'on 'y' on'

e n cwHVe y-y)=^ by^ (M-)

>Staight linu

y=4+ bx

’ Parsboto

7 Exbohentad cunve

method o

in) Secohd

od Jeat sqas
Ey- an+ bEn -)

diges paololo

Sy= na +bEx + CEx

i) Sxbonkntia cunve
Y- A+
EY= nA+ Bs
Exy= AEX + BEx?

#Eerekadio

# Regesion

Reguesion ofiuut

bgx = hEMy- EXEY

nEn-(E)

hEy2- E)

Y= Jbyx Xby

Ia-*)= by (y-J)

> method o moment