its for BBA student.In BBA we have a mathematics course.Some faculty gives us a presention on tis title.Its specially helpful for Jagannath University Student.In jagannath University department of AIS gives that types presentation.

1. Welcome to our
Business mathematics
Presentation

2. Special Thanks To
Kazi Md.Nasir Uddin
Assistant Professor
Department of AIS
Faculty Of Business Studies
Jagannath University

3. Name Roll(merit)
Nabanita Chakrabarty 447
Md.Sakib Hossain
Rabbi
446
Jasim Uddin 449
Md.Ashrafur Rahman 450
Md.Badruzzam 451
Raihan Ahamed 452
Md.Shariful Haque 453
Zahidul Islam 455
Group member

4. Presentation Topic
“Business mathematics is a very
powerful tool and analytical
process that results in and
offers an optimal solution , in
spite of its limitations”

5.  WHAT IS MATHEMATICS?
Mathematics is a language, it is the transmission of
knowledge.
Limitations of Mathematics
Rigidity
So expensive to use tools for compulsion
Delicacy or coarseness

6. Presenter
Nabanita Chakrabarty
Merit:447
Presentation Topic
Mathematics Of Finance

7. Mathematics of Finance
Annuity
 A regular periodic payment made by an insurance
company to a policyholder for a specified period of time.
Types of Annuity
 Annuity Certain
i. Annuity Due
ii. Annuity Immediate
 Annuity Contingent

8. Present value
 Present value describes how much a future sum of money is
worth today.
 The formula for present value is: PV = CF/(1+r)n
Future value
 Refers to a method of calculating how much the present
value (PV) of an asset or cash will be worth at a specific time in
the future
Simple Interest
 A quick method of calculating the interest charge on a loan.
Simple interest is determined by multiplying the interest rate by
the principal by the number of periods.

9. Compound Interest
 Interest which is calculated not only on the initial principal but also
the accumulated interest of prior periods. Compound interest differs
from simple interest in that simple interest is calculated solely as a
percentage of the principal sum.
Depreciation
The principle value is diminished every year by a certain constant amount,
and in the subsequent period the diminished value becomes the principle
value

10. Presenter
MD.Ashrafur Rahman
Merit:450
Presentation Topic
LOGARITHM

11. Logarithms – making complex calculations easy
John Napier
John Wallis
Jost Burgi
Johann
Bernoulli

12. Logarithms
102 = 100
“10 raised to the power 2 gives 100”
Base
Index
Power
Exponent
Logarithm
“The power to which the base 10 must be raised to give 100 is 2”
“The logarithm to the base 10 of 100 is 2”
Log10100 = 2
Number

13. Logarithms
102 = 100Base
Logarithm
Log10100 = 2
Number
Logarithm
Number
Base
y = bx
Logby = x
23 = 8 Log28 = 3
34 = 81 Log381 = 4
Log525 =2 52 = 25
Log93 = 1/2 91/2 = 3
logby = x
is the inverse of
y = bx

15. Presenter
MD.Jasim Uddin
Merit:449
Presentation Topic
NUMBER SYSTEM

16. Number System
 Number theory is one of the oldest branches of pure
mathematics and focuses on the study of natural numbers.
Arithmetic is taught in schools where children begin with
learning numbers and number operations. The first set of
numbers encountered by children is the set of counting
numbers or natural numbers.
 In mathematics, a number system is a set of numbers.
As mentioned earlier, children begin by studying the
natural numbers: 1,2,3, ... with the four basic operations of
addition, subtraction, multiplication and division. Later,
whole numbers 0,1,2, .... are introduced, followed by
integers including the negative numbers.

17. Flow Chart of Number System

18. Examples

19. Presenter
Zahidul Islam
Merit:455
Presentation Topic
EQUATION

20. Equation:
• Equation is a mathematical statement that
uses the equal sign to show that the two
expressions are equal. The equity is true only
for certain value or values symbolized
generally by x,y,z etc. for example:
The equation: 3x+5=2x+7 is true for x=2 but
not for x=3.

21. Classification:
Linear equation Non- linear equation

22. Classification:
• Linear equation: A
linear equation is an
equation for a straight
line. It is made up of
two expressions equal
to each other. For
example,
• “y=2x+1”
• Non-linear equation:
Equation whose graph
doesn’t form a straight
line is called a non-
linear equation the
variables are either of
degree greater than 1
or less than 1 but never
1. For example,
• x2-x-1=0

23. Degree of equation:
The degree of equation is
denoted by the highest
index of the variable in any
equation.

24. Quadratic equation:
• A quadratic equation is one that can be
written in the standard form of ax2+bx+c=0.
Where a,b and c are real number and a is not
equal to zero. And the highest power of
quadratic equation is 2. For example,
• 7x2+9x+2=0

25. Cubic equation:
• An equation of third is called cubic
equation. The general degree form of a
cubic equation is x3+bx2+cx+d=0. A cubic
equation has three possible values of its
variable and at least one of them is real
number. For example,
• X3 +6x2+12x+7=0

26. Bio-quadratic equation:
• Bio-quadratic equation is a type of
equation which relates to the fourth degree
of power and does not contain any terms of
the third or first power. for example,
• x4+5x2+4=0
• x4-4=x2-1

27. • Identity: An identity is true any value of the
variable. For example,
a2+2ab+b2= (a+b)2
• Variable: A variable is a symbol for number
we don’t know. Generally it is written as x,y,z
etc.

28. Inequality:
• An inequality is a mathematical sentence in
which two expressions are joined by relations
symbols such as (not equal to), > (greater
than), < (less than), (greater than or equal
to), (less than or equal to). Examples of
inequalities are,
•
• a>b : a is greater than b
• a<b : a is less than b
•

29. Presenter
Md.Badruzzaman
Merit:451
Presentation Topic
Indices

30. Indices
• Definition
• In all cases a factor which multiplies is called the base and
the number of time multiplied is called the power or the
index.
power
• Example: a*a=a2
base

31. Laws of indices

32. Fractional Indice
In a positive fractional index the numerator represents
the power and the denominator the root.
For example:

33. Presenter
MD.Shariful Haque
Merit:453
Presentation Topic
Sequence&Progressions

34. Sequence
What is a Sequence?
A set of a real number in a definite order formed
according to some law is cale a sequence
A Sequence is a list of things (usually numbers)
that are in order.

35. Arithmetic Progression
• An arithmetic progression is a sequence
whose terms increase or decrease by a
constant number.

36. Geometric Progression
• Arithmetic progression is a sequence whose
terms increase or decrease by a constant
ratio.

37. Presenter
MD.Sakib Hossain Rabbi
Merit:446
Presentation Topic
SET THEORY

38. Set theory
What is set?
A set is collection of well-defined and well distinguished
objects .
For example, the items you wear: shoes, socks, hat, shirt,
pants, and so on.

39. Types of Set
 Finite set
When the elements of a set can be counted by a finite number of elements then the set is
called finite set.
Example:A={1,2,3,4,5,6}
B={1,2,3,4,5……,500}
 Infinite Set
If the elements of a set cannot be counted by a finite number , the set is called infinite set.
Example:A={1,2,3…..}
B={x| x is an odd number}
 Singleton Set
A set containing only one element.
Example: A={1}
 Empty set
Which has no element
Example: The set of people who have travelled from the earth to the sun is
an empty set.

40.  Equal Set
 Two sets A & B ,if every element of A is also an element of
B ,and every element of B also in an element A.
Example: A={3,5,5,9}
 B={9,5,3}
Singleton Set
 A set containing only one element.
Example: A={1}
Empty set
 Which has no element
Example: The set of people who have travelled from the earth to
the sun is an empty set.
 Subset
If every element of set A is also an element of a set B then set A is called
subset of B.

41.  Equivalent Set
• If the elements of one set can be put in to one to one
correspondence with the elements of another set , the the two
sets are called equivalent.
• Example: A={a,b,c,d}
• B={1,2,3,4}
 Proper subset
• If B is a proper subset of A , then all elements of B are in
A but A contains at least one element that is not in B .
 VennDiagram
 A venn diagram is a pictorial representation. It was named
after English logician John Venn.

42. Presenter
Raihan Ahamed
Merit:452
Presentation Topic
Permutations&combinations

43. Permutations
 All possible arrangements of a collection of things, where the
order is important.
Example: You want to visit the homes of three friends Alex ("a"),
Betty ("b") and Chandra ("c"), but haven't decided in what order.
What choices do you have?
Answer: {a,b,c} {a,c,b} {b,a,c} {b,c,a} {c,a,b} {c,b,a}

44. Combinations
• A collection of things, in which the order does not matter.
Example: You are making a sandwich. How many different
combinations of 2 ingredients can you make with cheese,
mayo and ham?
Answer: {cheese, mayo}, {cheese, ham} or {mayo, ham}

45. Formulas of Permutations & combinations