MATHEMATICS IN OUR DAILY LIFE.

PRESENTERS

HASEEBRAHEEM ASAD HAROON

Some Famous Mathematician of Modern Time.

Leonhard Euler

• He was a Swiss mathematician.• Works with almost all area of

mathematics.• Concept of function as we use

today was introduced by him.• He was the first mathematician

to write f(x) to denote function.

Sir Isaac Newton

• We would live in a very difficult world, if sir Isaac Newton was not born.

• There are not many subjects that Newton didn’t have a huge impact in.

• He was the only inventor of Calculus .

Carl Gauss

• Isaac Newton is a hard act to follow, but if anyone can pull it off, it's Carl Gauss.

• Gauss was the greatest mathematician ever, better than of Newton.

• He published "Arithmetical Investigations," a foundational textbook that laid out the tenets of number theory (the study of whole numbers).

John von Neumann

• Right now, whatever device or computer that you are reading this on, be it phone or computer, is cycling through a series of basic steps billions of times over each second; steps that allow it to do things like render Internet articles and play videos and music, steps that were first thought up by John von Neumann.

Benoit Mandelbrot

• Benoit Mandelbrot landed on this list thanks to his discovery of fractal geometry.

• Without fractals, it's safe to say that we would be decades behind where we are now in the field of computer-generated images, cell phone industry and computer making firms.

The great misconception about mathematics

• Mostly people thought that mathematics is about formulas and cranking out computations. It is the unconsciously held delusion that mathematics is a set of rules and formulas that have been worked out by God knows who for God knows why, and the student's duty is to memorize all this stuff.

• Such students seem to feel that sometime in the future their boss will walk into the office and demand "Quick, what's the quadratic formula?" Or, "Hurry, I need to know the derivative of 3x^2 - 6x + 7." There are no such employers.

WHAT IS MATHEMATICS REALLY LIKE?

• It's a big enough thing that you can describe it in a lot of different ways, depending on your perspective.

• Maths is the study of how to create, manipulate, and understand abstract structures. Abstract structures are the heart of it.

• Math can work with numbers: the various different sets of numbers are examples of one of the kinds of abstract structures that we can work with.

• But math is so much more than just numbers. It's numbers, and sets, and categories, and topologies, and graphs, and much, much more.

Mathematics in Daily life

Some practical examples of mathematics in our daily life.

Mathematics in Cars:

• The wheels and lights are circles, the doors are rectangular prisms, the main area for a person to drive and sit in it a half a sphere with the sides chopped off which makes it ¼ of a sphere.

• If a person would look very closely he would see a lot more shapes in the car.

Mathematics in Forensic

Mathematics is applied to clarity the blurred image to clear image.

This is done by using differential and integral calculus.

CALCULUS

• It is the study of change.• It includes limits, derivatives, integrals and

infinite series.• It helps us to find the area of figures, to know

the acceleration of a car moving in a highway with a uniform speed. Also the movement of an artificial satellite, ship etc.

Maths in Engineering

• Mathematics is involved in everything an engineer does, whether it is working out how much concrete is needed to build a bridge, or determining the amount of solar energy to power a car.

USE OF MATHS IN OUR DAILY LIFE

• The topics which are mainly useful in daily life are:• Commercial Mathematics• Algebra• Statistics• Calculus• Number Theory• Graph Theory• Geometry• Mechanics

COMMERCIAL MATHEMATICS

This include the following topics :

• Discount• Banking• Foreign Exchange• Stock and Share• Arithmetic ( Profit & Loss, Percentage, Ratio

and Proposition , Time problems)

Reduction from the full amount of a price

Simple Discount

• Offer a price reduction on a product by a percentage. For example, buy a shirt and receive 25 % off the original price.

• Many garments shops “like DAY TO DAY “ are offering this discount to their customers.

Minimum Purchase Discount

• Offer a price reduction on a minimum quantity purchase. For example, buy two shirts and receive 20 % off each shirt.

• Admire store, in saddar bazaar and karam elaahi shop in front of R-sheen is offering this type of discount.

Buy N, Get one Free

• Offer a free gift with a minimum quantity purchase. For example, buy two shirts and receive a third shirt for free.

• For example:– Many female ready made garments shop on the

university road offer this discount.– Fast food restaurants like KFC, pizza hut also offer

this discount.

Paired Discount

• Offer a price reduction on a product if another product is purchased. For example, buy a shirt and receive Rs.100 off a pair of jeans.

• For example– Many Garments retailer used this technique for

the attention of their customers.– Many online shopping websites like daraz.pk,

kamyu.pk offers this type of discount.

DAY TO DAY STORE.

DISCOUNT OFFER BY ZAHID GOLD COLLECTION

Shop No 3, Babu Market, Ander Shehr baazar peshawar city.

Percentage Method

Discount offering by ZGC

• There is Rs.3000 (wage) (6%) margin in each tola.

• But from the friends & family the margin rate is only 1000 per tola.

• Discount: 100/3000=0.033330.3333X2000= 66.666 “66.6 %” Discount for their

customers.

Discount offering in GOLD

• We offer 22K gold. • We cutoff 25% on return on gold.• But we offer 8.34% discount for our loyal

customer , so we cut 16.66% on return.

• 1 tola= 12 masa• 12/100=0.12

0.12X25=3.00 masa• 0.12X16.66=2.00 masa (for our customers)

Discount offer in Gold

• Per tola Rs.3000 profit (6 % price)• Operating expense= 12.5 % in Gold.• Mark down 25 % (when someone selling gold).• DISCOUNTS– 66.6% discount in profit.– Full 100% discount in operating expenses for loyal

customers..

Competition of ZGS

• Competition is very still/constant.• We offer 22k gold offer.• Also deal in silver, pure gold, chocolate

and Gold bar.

• We have some special laborites & procedure for removing impurities from the GOLD.

Operating Expenses & loss in Gold

• There are few expense in the formation of gold.– Gold melting– Gas expense– Soil lamp expense• In all these process some RATTI amount of gold is

decreasing.

• Per tola expense= 1.5 massa• 1 massa = 8 ratti– 1 ratti is equal to 125 milligram

ZHK PharmaSuppos 1 Product Retail Price = 1100

Dr. get 25 %1100/100 =11

11*25 =275Pharmacy Shop Get 15 %

15*11 =165Expenses 15 %

15*11 =165We Earn 5 % = 55

25 %+15%+15%+5% =60 %100%-60% =40%

40% cost40*11 = 440

Banking

• 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 is nothing but mathematics.

• Banks are also involved in stocks and bonds. Bond calculations are mathematical. Stock options are also quite mathematical.

Foreign Exchange Market

• The foreign exchange (currency) market refers to the market for currencies. Transactions in this market typically involve one party purchasing a quantity of one currency in exchange for paying a quantity of another.

Arithmetic• Arithmetic ( Profit & Loss, Percentage, Ratio and

Proposition , Time related problems): The word refers to a branch of mathematics 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 of percentages, square root, exponentiation, and logarithmic functions).

Algebra

It is a branch of mathematics concerning the study of structure, relation, and quantity.Classification

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 day

• Which option will be better for him ?– (2) option is better:– As in the (1) option he will get only25× 30 = Rs. 750– And in the (2) option he will get = 5 +7+9 +...+ upto 30 terms=

Rs. 1020. ( sum of 30 terms of A.P.)

Mathematics is unavoidable. It's a deeply fundamental thing. Without math, there would be no science, no

music, no art. Mathematics is part of all of those things. If it's got

structure, then there's an aspect of it that's mathematical.

THANK YOU

HAVE A NICE DAY AHEAD

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