7838221 Uses of Mathematics in Daily Life

8/4/2019 7838221 Uses of Mathematics in Daily Life

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The topics which are mainly useful in daily life

are :

Commercial Mathematics

Algebra

Statistics

Calculus

Number Theory

Graph Theory Geometry

Mechanics


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Commercial Mathematics

This include the following topics

Discount

Banking

Foreign Exchange

Stock and Share

Arithmetic ( Profit & Loss, Percentage, Ratio

and Proposition , Time problems)


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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.


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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.


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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 ?


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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)


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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/Mathematics


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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/Mathematics


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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.)


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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_science


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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_science


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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.


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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/Geometry


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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


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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.


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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)


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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)


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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


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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/Mathematics


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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_body


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7838221 Uses of Mathematics in Daily Life