8/4/2019 7838221 Uses of Mathematics in Daily Life
1/22
8/4/2019 7838221 Uses of Mathematics in Daily Life
2/22
The topics which are mainly useful in daily life
are :
Commercial Mathematics
Algebra
Statistics
Calculus
Number Theory
Graph Theory Geometry
Mechanics
8/4/2019 7838221 Uses of Mathematics in Daily Life
3/22
Commercial Mathematics
This include the following topics
Discount
Banking
Foreign Exchange
Stock and Share
Arithmetic ( Profit & Loss, Percentage, Ratio
and Proposition , Time problems)
8/4/2019 7838221 Uses of Mathematics in Daily Life
4/22
Discount :Reduction from the full amount of a price .The following are the six types of discounts which we see are
Simple Discount. Offer a price reduction on a product by apercentage. For example, buy a shirt and receive 25 % off the original
price. Minimum Purchase Discount. Offer a price reduction on a minimum
quantity purchase. For example, buy two shirts and receive 20 % offeach shirt.
Buy N, Get one Free. Offer a free gift with a minimum quantity
purchase. For example, buy two shirts and receive a third shirt forfree.
Paired Discount. Offer a price reduction on a product if anotherproduct is purchased. For example, buy a shirt and receive Rs.10 off apair of jeans.
Paired Set Discount. Offer a price reduction on an item if a certainquantity of another item is purchased. For example, buy three shirtsand receive 30 % off a pair of jeans.
Order Discount. Offer a price reduction or free shipping on the ordertotal, if a certain amount is purchased. For example, buy Rs. 5000
worth of merchandise, and receive 10 % off the total order.
8/4/2019 7838221 Uses of Mathematics in Daily Life
5/22
Banking : A system of trading in money which
involved safeguarding deposits and making funds
available for borrowers.
* What is the use of mathematics in Banking ?
Bank is full of transactions. In turn the transaction isnothing but mathematics
Banks are also involved in stocks and bonds. Bond
calculations are mathematical. Stock options are alsoquite mathematical.
8/4/2019 7838221 Uses of Mathematics in Daily Life
6/22
Foreign Exchange market:The foreign exchange (currency)
market refers to the market forcurrencies. Transactions in this
market typically involve one
party purchasing a quantity of
one currency in exchange for
paying a quantity of another.
* What are the rate of
exchange of currencies of
different counties w.r.t.
indian currencies ?
8/4/2019 7838221 Uses of Mathematics in Daily Life
7/22
Stock and Share :In business and finance, a share
(also referred to as equity share) ofstock means a
share ofownership in a corporation (company). In the
plural, stocks is often used as a synonym for shares
A stock is at a premium ( above par) , at par or at a
discount (below par ) according as its market value
is greater than , equal to or less than the face value .
Generally stocks are sold and purchased through
brokers. The amount paid to them in selling and
purchasing stocks are called Brokerage.
so , C.P. = M.V. + Brokerage
http://en.wikipedia.org/wiki/Share_(finance)http://en.wikipedia.org/wiki/Ownershiphttp://en.wikipedia.org/wiki/Corporationhttp://en.wikipedia.org/wiki/Corporationhttp://en.wikipedia.org/wiki/Ownershiphttp://en.wikipedia.org/wiki/Share_(finance)8/4/2019 7838221 Uses of Mathematics in Daily Life
8/22
Arithmetic ( Profit & Loss, Percentage, Ratio and
Proposition , Time related problems):The word refers
to a branch ofmathematics which records elementary
properties of certain operations on numbers
Arithmetic operations: The traditional arithmetic operations are addition,
subtraction, multiplication and division, although
more advanced operations (such as manipulations ofpercentages, square root, exponentiation, and
logarithmic functions) are also sometimes included
in this subject.
http://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Numberhttp://en.wikipedia.org/wiki/Additionhttp://en.wikipedia.org/wiki/Subtractionhttp://en.wikipedia.org/wiki/Multiplicationhttp://en.wikipedia.org/wiki/Division_(mathematics)http://en.wikipedia.org/wiki/Percentagehttp://en.wikipedia.org/wiki/Square_roothttp://en.wikipedia.org/wiki/Exponentiationhttp://en.wikipedia.org/wiki/Logarithmhttp://en.wikipedia.org/wiki/Logarithmhttp://en.wikipedia.org/wiki/Exponentiationhttp://en.wikipedia.org/wiki/Square_roothttp://en.wikipedia.org/wiki/Percentagehttp://en.wikipedia.org/wiki/Division_(mathematics)http://en.wikipedia.org/wiki/Multiplicationhttp://en.wikipedia.org/wiki/Subtractionhttp://en.wikipedia.org/wiki/Additionhttp://en.wikipedia.org/wiki/Numberhttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Structure_(algebraic)http://en.wikipedia.org/wiki/Mathematics8/4/2019 7838221 Uses of Mathematics in Daily Life
9/22
Algebra : It is a branch ofmathematics concerning the study ofstructure,
relation, and quantity. Classification :Algebra may be divided into the following categories:
Elementary algebra, in which the properties of operations on the realnumber system are recorded using symbols as "place holders" todenote constants and variables, and the rules governing mathematicalexpressions and equations involving these symbols are studied
Abstract algebra, sometimes also called modern algebra, in whichalgebraic structures such as groups, rings and fields are axiomatically
defined and investigated. Linear algebra, in which the specific properties ofvector spaces are
studied (including matrices);
Universal algebra, in which properties common to all algebraicstructures are studied.
Algebraic number theory, in which the properties of numbers arestudied through algebraic systems. Number theory inspired much ofthe original abstraction in algebra.
Algebraic geometry in its algebraic aspect.
Algebraic combinatorics, in which abstract algebraic methods areused to study combinatorial questions.
http://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Structure_(algebraic)http://en.wikipedia.org/wiki/Relation_(mathematics)http://en.wikipedia.org/wiki/Quantityhttp://en.wikipedia.org/wiki/Elementary_algebrahttp://en.wikipedia.org/wiki/Real_numberhttp://en.wikipedia.org/wiki/Real_numberhttp://en.wikipedia.org/wiki/Constanthttp://en.wikipedia.org/wiki/Variablehttp://en.wikipedia.org/wiki/Mathematical_expressionhttp://en.wikipedia.org/wiki/Mathematical_expressionhttp://en.wikipedia.org/wiki/Equationhttp://en.wikipedia.org/wiki/Abstract_algebrahttp://en.wikipedia.org/wiki/Algebraic_structurehttp://en.wikipedia.org/wiki/Group_(mathematics)http://en.wikipedia.org/wiki/Ring_(mathematics)http://en.wikipedia.org/wiki/Field_(mathematics)http://en.wikipedia.org/wiki/Axiomatizationhttp://en.wikipedia.org/wiki/Linear_algebrahttp://en.wikipedia.org/wiki/Vector_spacehttp://en.wikipedia.org/wiki/Matrix_(mathematics)http://en.wikipedia.org/wiki/Universal_algebrahttp://en.wikipedia.org/wiki/Algebraic_number_theoryhttp://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/wiki/Algebraic_geometryhttp://en.wikipedia.org/wiki/Combinatoricshttp://en.wikipedia.org/wiki/Combinatoricshttp://en.wikipedia.org/wiki/Algebraic_geometryhttp://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/wiki/Algebraic_number_theoryhttp://en.wikipedia.org/wiki/Universal_algebrahttp://en.wikipedia.org/wiki/Matrix_(mathematics)http://en.wikipedia.org/wiki/Vector_spacehttp://en.wikipedia.org/wiki/Linear_algebrahttp://en.wikipedia.org/wiki/Axiomatizationhttp://en.wikipedia.org/wiki/Field_(mathematics)http://en.wikipedia.org/wiki/Ring_(mathematics)http://en.wikipedia.org/wiki/Group_(mathematics)http://en.wikipedia.org/wiki/Algebraic_structurehttp://en.wikipedia.org/wiki/Abstract_algebrahttp://en.wikipedia.org/wiki/Equationhttp://en.wikipedia.org/wiki/Mathematical_expressionhttp://en.wikipedia.org/wiki/Mathematical_expressionhttp://en.wikipedia.org/wiki/Variablehttp://en.wikipedia.org/wiki/Constanthttp://en.wikipedia.org/wiki/Real_numberhttp://en.wikipedia.org/wiki/Real_numberhttp://en.wikipedia.org/wiki/Elementary_algebrahttp://en.wikipedia.org/wiki/Quantityhttp://en.wikipedia.org/wiki/Relation_(mathematics)http://en.wikipedia.org/wiki/Structure_(algebraic)http://en.wikipedia.org/wiki/Mathematics8/4/2019 7838221 Uses of Mathematics in Daily Life
10/22
How algebra is useful in daily life ?
Suppose , we are to appoint a person for some domestic
purpose .We give him two option for salary per month as :
(1) Rs. 25 daily
(2) Rs.5 for the first day and keep on increasing Rs. 2 to the
pervious days for the next dayWhich option will be better for him ?
(2) option is better:
As in the (1) option he will get only 25 30 = Rs. 750And in the (2) option he will get = 5 +7+9 +...+ upto 30 terms
= Rs. 1020. ( sum of 30 terms of A.P.)
8/4/2019 7838221 Uses of Mathematics in Daily Life
11/22
Statistics: It is a mathematical science pertaining to the
collection, analysis, interpretation or explanation, and
presentation ofdata. Also with prediction and
forecasting based on data.
Statistics form a key basis tool in business and
manufacturing as well. It is used to understandmeasurement systems variability, control processesfor summarizing data, and to make data-drivendecisions. In these roles, it is a key tool, and perhaps
the only reliable tool. Some fields of inquiry use applied statistics so
extensively that they have specialized terminology.
These disciplines include:
A i l i
http://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Datahttp://en.wikipedia.org/wiki/Specialized_terminologyhttp://en.wikipedia.org/wiki/Specialized_terminologyhttp://en.wikipedia.org/wiki/Datahttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Actuarial_sciencehttp://en.wikipedia.org/wiki/Actuarial_science8/4/2019 7838221 Uses of Mathematics in Daily Life
12/22
Actuarial science
Applied information economics
Biostatistics
Business statistics
Data mining Engineering statistics
Environmental Statistics
Epidemiology
Geography and Geographic Information Systems,
Psychological statistics
Quality
Social statistics
Statistical literacy
Statistical modeling Statistical surveys
Chemometrics (for analysis of data from chemistry)
Structured data analysis (statistics)
Statistics in various sports, particularly baseball and cricket
http://en.wikipedia.org/wiki/Actuarial_sciencehttp://en.wikipedia.org/wiki/Applied_information_economicshttp://en.wikipedia.org/wiki/Biostatisticshttp://en.wikipedia.org/wiki/Business_statisticshttp://en.wikipedia.org/wiki/Data_mininghttp://en.wikipedia.org/wiki/Engineering_statisticshttp://en.wikipedia.org/wiki/Environmental_Statisticshttp://en.wikipedia.org/wiki/Epidemiologyhttp://en.wikipedia.org/wiki/Geographyhttp://en.wikipedia.org/wiki/Geographic_Information_Systemshttp://en.wikipedia.org/wiki/Psychological_statisticshttp://en.wikipedia.org/wiki/Qualityhttp://en.wikipedia.org/wiki/Social_statisticshttp://en.wikipedia.org/wiki/Statistical_literacyhttp://en.wikipedia.org/wiki/Statistical_modelinghttp://en.wikipedia.org/wiki/Statistical_surveyhttp://en.wikipedia.org/wiki/Chemometricshttp://en.wikipedia.org/wiki/Chemistryhttp://en.wikipedia.org/wiki/Structured_data_analysis_(statistics)http://en.wikipedia.org/wiki/Baseball_statisticshttp://en.wikipedia.org/wiki/Cricket_statisticshttp://en.wikipedia.org/wiki/Cricket_statisticshttp://en.wikipedia.org/wiki/Baseball_statisticshttp://en.wikipedia.org/wiki/Structured_data_analysis_(statistics)http://en.wikipedia.org/wiki/Chemistryhttp://en.wikipedia.org/wiki/Chemometricshttp://en.wikipedia.org/wiki/Statistical_surveyhttp://en.wikipedia.org/wiki/Statistical_modelinghttp://en.wikipedia.org/wiki/Statistical_literacyhttp://en.wikipedia.org/wiki/Social_statisticshttp://en.wikipedia.org/wiki/Qualityhttp://en.wikipedia.org/wiki/Psychological_statisticshttp://en.wikipedia.org/wiki/Geographic_Information_Systemshttp://en.wikipedia.org/wiki/Geographyhttp://en.wikipedia.org/wiki/Epidemiologyhttp://en.wikipedia.org/wiki/Environmental_Statisticshttp://en.wikipedia.org/wiki/Engineering_statisticshttp://en.wikipedia.org/wiki/Data_mininghttp://en.wikipedia.org/wiki/Business_statisticshttp://en.wikipedia.org/wiki/Biostatisticshttp://en.wikipedia.org/wiki/Applied_information_economicshttp://en.wikipedia.org/wiki/Actuarial_science8/4/2019 7838221 Uses of Mathematics in Daily Life
13/22
How the concept of mean, mode and median is
used in daily life ?
A shopkeeper, selling shirts, keeps more stock of
that size of shirt which has more sale. Here the size
of that shirt is the mode among other .
If in a tour, the total money spent by10 students is
Rs. 500. Then the average money spent by each
student is Rs. 50. Here Rs. 50 is the mean.
If you have 25 people lined up next to each other by
age, the median age will be the age of the person in
the very middle. Here the age of the middle person
is the median.
8/4/2019 7838221 Uses of Mathematics in Daily Life
14/22
Calculus:It is the study of change, in the same way
that geometry is the study of space.It includes the
study oflimits, derivatives, integrals, and infiniteseries.
Calculus has widespread applications in science and
engineering and is used to solve problems for whichalgebra alone is insufficient. Calculus builds on
algebra, trigonometry, and analytic geometry and
includes two major branches, differential calculus
and integral calculus, that are related by the
fundamental theorem of calculus.
http://en.wikipedia.org/wiki/Geometryhttp://en.wikipedia.org/wiki/Limit_(mathematics)http://en.wikipedia.org/wiki/Derivativehttp://en.wikipedia.org/wiki/Integralhttp://en.wikipedia.org/wiki/Infinite_serieshttp://en.wikipedia.org/wiki/Infinite_serieshttp://en.wikipedia.org/wiki/Sciencehttp://en.wikipedia.org/wiki/Engineeringhttp://en.wikipedia.org/wiki/Elementary_algebrahttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/wiki/Trigonometryhttp://en.wikipedia.org/wiki/Analytic_geometryhttp://en.wikipedia.org/wiki/Differential_calculushttp://en.wikipedia.org/wiki/Integral_calculushttp://en.wikipedia.org/wiki/Fundamental_theorem_of_calculushttp://en.wikipedia.org/wiki/Fundamental_theorem_of_calculushttp://en.wikipedia.org/wiki/Integral_calculushttp://en.wikipedia.org/wiki/Differential_calculushttp://en.wikipedia.org/wiki/Analytic_geometryhttp://en.wikipedia.org/wiki/Trigonometryhttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/wiki/Elementary_algebrahttp://en.wikipedia.org/wiki/Engineeringhttp://en.wikipedia.org/wiki/Sciencehttp://en.wikipedia.org/wiki/Infinite_serieshttp://en.wikipedia.org/wiki/Infinite_serieshttp://en.wikipedia.org/wiki/Integralhttp://en.wikipedia.org/wiki/Derivativehttp://en.wikipedia.org/wiki/Limit_(mathematics)http://en.wikipedia.org/wiki/Geometry8/4/2019 7838221 Uses of Mathematics in Daily Life
15/22
How is Integral and differential calculus useful
in daily life ?
Integration is used to find areas of figures which
are not geometric. Suppose you spill water on the
floor and want to find out what area the water has
covered, you can do so by integration. What it does
is that it breaks up the non-geometric shape into a
number of tiny geometric shapes. It then calculates
the area of each of the tiny figures and adds themup. This of course gives only an approximation to
the actual area
8/4/2019 7838221 Uses of Mathematics in Daily Life
16/22
Let us consider the movement of a car on a
highway. Here we can clearly visualize that if
the highway is clear the driver would lookforward to increase the speed to an optimum
level after which he will drive with the same
speed. With the help of calculus we can easily
estimate the car's acceleration if we know the
initial speed and the speed when he settled.
Acceleration is therefore defined as the first
order derivative of velocity, which in turn isthe first order derivative of displacement.
8/4/2019 7838221 Uses of Mathematics in Daily Life
17/22
Number Theory :Number theory is the branch
ofpure mathematics concerned with the
properties ofnumbers in general, and integers.
The term "arithmetic" is also used to refer to number theory
but Number theory used to be called the higher arithmetic .
The Social Insurance Number (SIN) was created in 1964 to
serve as a client account number in the administration of the
Canada Pension Plan and Canada's varied employment
insurance programs. In 1967, what is now Canada Revenue
Agency (CRA) started using the SIN for tax reportingpurposes.
Number theory is used in Cryptography (study of hiding
information) for creating codes for ATM/Credit cards.
G h Th h th i th t d f h
http://en.wikipedia.org/wiki/Pure_mathematicshttp://en.wikipedia.org/wiki/Numberhttp://en.wikipedia.org/wiki/Integerhttp://en.wikipedia.org/wiki/Arithmetichttp://en.wikipedia.org/wiki/Informationhttp://en.wikipedia.org/wiki/Informationhttp://en.wikipedia.org/wiki/Arithmetichttp://en.wikipedia.org/wiki/Integerhttp://en.wikipedia.org/wiki/Numberhttp://en.wikipedia.org/wiki/Pure_mathematicshttp://en.wikipedia.org/wiki/Graph_(mathematics)http://en.wikipedia.org/wiki/Graph_(mathematics)8/4/2019 7838221 Uses of Mathematics in Daily Life
18/22
Graph Theory:graph theory is the study ofgraphs:
mathematical structures used to model pairwise
relations between objects from a certain collection. A
"graph" in this context refers to a collection ofverticesor 'nodes' and a collection ofedges that connect pairs
of vertices.
A problem in graph theory requiring the mostefficient (i.e., least total distance) Hamiltoniancircuit a salesman can take through each of cities.
No general method of solution is known, and theproblem is NP-hard. Solution to the travelingsalesman problem is implemented as TravelingSalesman.
http://en.wikipedia.org/wiki/Graph_(mathematics)http://en.wikipedia.org/wiki/Vertex_(graph_theory)http://mathworld.wolfram.com/GraphTheory.htmlhttp://mathworld.wolfram.com/HamiltonianCircuit.htmlhttp://mathworld.wolfram.com/HamiltonianCircuit.htmlhttp://mathworld.wolfram.com/NP-HardProblem.htmlhttp://reference.wolfram.com/mathematica/Combinatorica/ref/TravelingSalesman.htmlhttp://reference.wolfram.com/mathematica/Combinatorica/ref/TravelingSalesman.htmlhttp://reference.wolfram.com/mathematica/Combinatorica/ref/TravelingSalesman.htmlhttp://reference.wolfram.com/mathematica/Combinatorica/ref/TravelingSalesman.htmlhttp://mathworld.wolfram.com/NP-HardProblem.htmlhttp://mathworld.wolfram.com/NP-HardProblem.htmlhttp://mathworld.wolfram.com/NP-HardProblem.htmlhttp://mathworld.wolfram.com/HamiltonianCircuit.htmlhttp://mathworld.wolfram.com/HamiltonianCircuit.htmlhttp://mathworld.wolfram.com/GraphTheory.htmlhttp://en.wikipedia.org/wiki/Vertex_(graph_theory)http://en.wikipedia.org/wiki/Graph_(mathematics)8/4/2019 7838221 Uses of Mathematics in Daily Life
19/22
The arrow marked path is the best path tofollow by the travelling sale man to cover all
the cities without going back to any city again
8/4/2019 7838221 Uses of Mathematics in Daily Life
20/22
Geometry: It a part ofmathematics concerned with
questions of size, shape, and relative position of
figures and with properties of space.
How Is Geometry Used In Our Daily Life?
Geometry is especially useful in home building orimprovement projects. If you want to find the floor area of ahouse, you use geometry. This information is useful forlaying carpet or tiles and for telling an estate agent how big
your house is when you want to put it on the market. If youwant to reupholster a piece of furniture, you have toestimate the amount offabric you need by calculating thesurface area of the furniture.
http://en.wikipedia.org/wiki/Mathematicshttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://www.blurtit.com/q638926.htmlhttp://en.wikipedia.org/wiki/Mathematics8/4/2019 7838221 Uses of Mathematics in Daily Life
21/22
Mechanics :It is concerned with the behaviour ofphysical bodies when subjected to forces or
displacements, and the subsequent effect of the bodies
on their environment.
Covering a long horizontal distance while making a
long jump , the angle of elevation should be 45.
Riding a bicycle round and round a globe, head
downward.
http://en.wikipedia.org/wiki/Physical_bodyhttp://en.wikipedia.org/wiki/Forcehttp://en.wikipedia.org/wiki/Displacement_(vector)http://en.wikipedia.org/wiki/Displacement_(vector)http://en.wikipedia.org/wiki/Forcehttp://en.wikipedia.org/wiki/Physical_body8/4/2019 7838221 Uses of Mathematics in Daily Life
22/22