3. Leonhard Euler
• He was a Swiss mathematician.
• Works with almost all area of
• Concept of function as we use
today was introduced by him.
• He was the first mathematician
to write f(x) to denote function.
4. 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
5. 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).
6. 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
7. 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
8. The great misconception about
• 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.
9. 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.
12. 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
• If a person would look very closely he would
see a lot more shapes in the car.
• It is the study of change.
• It includes limits, derivatives, integrals and
• 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.
15. 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.
16. USE OF MATHS IN OUR DAILY LIFE
• The topics which are mainly useful in daily life
• Commercial Mathematics
• Number Theory
• Graph Theory
17. COMMERCIAL MATHEMATICS
This include the following topics :
• Foreign Exchange
• Stock and Share
• Arithmetic ( Profit & Loss, Percentage, Ratio
and Proposition , Time problems)
19. 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.
20. 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.
21. 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
23. 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.
27. Discount offering by ZGC
• There is Rs.3000 (wage) (6%) margin in each
• But from the friends & family the margin rate
is only 1000 per tola.
• Discount: 100/3000=0.03333
“66.6 %” Discount for their
28. 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
• 0.12X16.66=2.00 masa (for our customers)
29. Discount offer in Gold
• Per tola Rs.3000 profit (6 % price)
• Operating expense= 12.5 % in Gold.
• Mark down 25 % (when someone selling
– 66.6% discount in profit.
– Full 100% discount in operating expenses for loyal
30. 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.
31. Operating Expenses & loss in Gold
• There are few expense in the formation of
– Gold melting
– Gas expense
– Soil lamp expense
• In all these process some RATTI amount of gold is
32. • Per tola expense= 1.5 massa
• 1 massa = 8 ratti
– 1 ratti is equal to 125 milligram
• 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.
35. 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 ( 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
It is a branch of mathematics concerning the
study of structure, relation, and quantity.
38. 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.)
39. 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.