Post on 18-Feb-2018
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Welcome
ToOur Presentation
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Prepare forMR. KAZI NASIR UDDIN
Course InstructorBusiness MathematicsDepartment of Accounting and
information systems
Faculty of Business Studies Jagannath University
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Prepare BySadhan ay
oll ! "#$%$"""&
Parama Prity 'undu
oll! "#$%$""%$
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(ools of Business
mathematics
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Real Number System
Number System:
Any system of naming or representing)"*%*#*+*,*-.//0 num1ers as thedecimal system or the 1inary systemis called num1er system/
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Real ( R )Real ( R )
IntegersIntegers
Complex (C)Complex (C)
IrratonalIrratonalRatonalRatonal
Imagnary (I)Imagnary (I)
Non!Non!
negat"enegat"e
#ra$tons#ra$tons
Negat"eNegat"e
ZeroZero%ost"e%ost"e
%rme%rmeNaturalNatural
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MA&RI' Alebra
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MA&RI' Alebra
Suare matrxDagonal Matrx!
Unt MatrxZero or Null MatrxSub MatrxS$alar MatrxRo* MatrxColumn MatrxUpper &rangular Matrx+o*er &rangular MatrxSymmetr$ MatrxS,e*!symmetr$ Matrx&ranspose o- a MatrxComplex Conugate o- a Matrx
&/%0S 1# MA&RI' :
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Matrix
Multiplication
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Matrix Multiplication
3 5
-2 1
4 9
X5 2
3 4
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Let’s Begin……….
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Row 1 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
3 x 5 + 5 x 3 = 30
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Row 1 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
3 x 5 + 5 x 3 = 30
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Row 1 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
"3#
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Row 1 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
3 x 2 + 5 x 4 = 26
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Row 1 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
3 x 2 + 5 x 4 = 26
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Row 1 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
"3# 2$
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Row 2 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
-2 x 5 + 1 x 3 = -7
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Row 2 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
-2 x 5 + 1 x 3 = -7
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Row 2 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
"30 26
-7
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Row 2 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
-2 x 2 + 1 x 4 = 0
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Row 2 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
-2 x 2 + 1 x 4 = 0
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Row 2 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
"30 26
-7 0
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Row 3 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
4 x 5 + 9 x 3 = 47
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Row 3 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
4 x 5 + 9 x 3 = 47
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Row 3 X olu!n 1
3 5
-2 1
4 9
X5 2
3 4
"30 26
-7 0
47
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Row 3 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
4 x 2 + 9 x 4 = 44
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Row 3 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
4 x 2 + 9 x 4 = 44
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Row 3 X olu!n 2
3 5
-2 1
4 9
X5 2
3 4
"30 26
-7 0
47 44
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Matri3 used in Business
applicationA*B C has s +4$*s 5-$ and s5"$ respectively they utili6e theamount to purchase # types of shares of price 3 *y and 6respectively/ A purchase t7o share of price 3 * , of price y # of price6 /B purchases four share of price 3 * # of price y and - of price 6 *c
purchases one share of price 3 four of y and ten of price 6 / Find the3 *y* 6 8
Solution!
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-un$ton
De2nton: (he relationship 1et7een t7o real varia1les say 3 and y 7hich are so
related that corresponding to every value a of 3 de9ned as the domain *7e get a 9nite value 1 of y de9ned as the range then y is said to 1e thefunction of 3/
y=f(x)
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-un$ton
&ypes o- -un$ton :"/:ne valued function
%/;3plicit Functio<
#/Alge1raic and (ranscendental Function
+/ational and Irrational Functions,/Monotone function-/;ven and odd function5/Continuous and discontinuous function
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Function
The limit of a function :
3 approaches # from right hand side of the num1er line* f=3> decreases
and 1ecomes close to -
+x 3
i.e. lim f(x) = 6→
Contnuty o- a -un$ton :A function f=3> is said to 1e continuous at 3?a* if corresponding to anyar1itrarily assigned positive num1er* ho7ever small there e3ists a positivenum1er/ assigned positive num1er* ho7ever small there e3ists a positivenum1er/
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C11RDINA&0 301M0&R/
Coordinate @eometry is that 1ranch of geometry in7hich t7o real num1ers called coordinate* are used
to indicate the position of a point in a place/ (he t7o directed lines* 7hen they intersect at right
angles at the point of origin* divide their plane intofour parts namely :* :* : and :/
A directed line can 1e hori6ontal n$rmally indicated1y : a3is and vertical indicated normally 1y :a3is/
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C11RDINA&0 301M0&R/
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C11RDINA&0
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C11RDINA&0
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C11RDINA&0
Area :f a (riangle !
formula!
−−+− )
21(
3)
13(
2)
32(
121
y y x y y x y y x