This document discusses the importance and applications of mathematics. It begins with an introduction and then discusses how mathematics is used in everyday life and various careers. Specific topics in mathematics like arithmetic, geometry, and trigonometry are explained along with their real-world uses. The document emphasizes that mathematics is essential for many fields and should be taken seriously by students to keep future career options open. It concludes by quoting that mathematics forms logical thinking from an early age.

1. Prepared by
Mr Abdullah
&
Muhammad Sadiq Khan
Department of Mathematics
CCS

2.  Introduction
 Mathematics in everyday life
 Mathematics Everywhere
 Arithmetic
 Geometry
 Trigonometry
 Mathematics for a future career
 Everything is with math
 Conclusion with Quotations

4. “Education should be started with
mathematics. For it forms well designed brains
that are able to reason right. It is even
admitted that those who have studied
mathematics during their childhood should be
trusted, for they have acquired solid bases for
arguing which become to them a sort of
second nature”.
IbnKhaldun in “al-Muqaddima”

5.  The literal meaning of mathematics is
“things which can be counted”. Now you can
think that counting has vital role in our daily
life.
 Just imagine that there were no mathematics
at all, how would it be possible for us to
count days, months and years?

6. Britannica concise encyclopedia defines as
“Science of structure, order, and relation
that has evolved from counting, measuring
and describing the shapes of object. It deals
with logical reasoning and quantitative
calculations”.

8.  On a basic level you need to be able to
count, multiply, subtract and divide.
 Mathematics is around us. It is present in
different forms whenever we pick up the
phone, manage the money, travel to some
place, play football, meet new friends;
unintentionally in all these things
mathematics is involved.

10.  To be successful in many
occupations and to be able to
function in today’s
technological world, students
must be able to process and
interpret data, communicate
their understanding with others
and be able to apply
mathematical reasoning.

12. Arithmetic ( Profit and Loss,
Percentage, Ratio and Time
related problems):
Where are the Arithmetic use ?
1. It is used in the markets.
2. It is used by the shopkeepers.
3. It is used in the banks.
4. It is used by the Goldsmith,
Blacksmith and etc.

14.  Geometry : (concerned with the
question of size, shape, and
relative position of figures and
with properties of space).
 Where are the Geometry use ?
 It is used in the construction of
the buildings, homes and etc.
 It is used to find the area of
anything like carpets, floor,
furniture and etc.

15.  Trigonometry is the
branch of
mathematics which deals
with
triangles, particularly
triangles in a plane
where one angle of the
triangle is 90 degrees.
Trigonometry
is derived from Greek
words
trigonon (three angles)
and
metron ( measure).

16. This field of mathematics can
be applied in astronomy,
navigation, music theory,
acoustics, analysis of
financial markets, electronics,
probability theory, statistics,
biology, medical imaging,
pharmacy, chemistry, number
theory, seismology,
meteorology, oceanography,
land surveying, architecture,
economics, electrical,
mechanical & civil
engineering, computer
graphics, and game
development.

17.  Since ancient times trigonometry
was used in astronomy.
 The technique of triangulation is
used to measure the distance to
nearby stars.
 In 240 B.C., a mathematician
named Eratosthenes discovered
the radius of the Earth using
trigonometry and geometry.

19.  Mathematics is called the Mother of all
Sciences.
 Most of university degree require
mathematics. Students who choose not to
take mathematics seriously or to ignore it in
high school, forfeit many future career
opportunities that they could have.

20.  Those who do not take interest in
Maths, essentially turn their backs on
more than half the job market. The
importance of mathematics for potential
careers cannot be over emphasized.
 To get degrees in different areas, one
need to have good knowledge of
mathematics and statistics.

21.  Maths is unavoidable. It’s
deeply fundamental thing.
Without math, there would
be no science, no music, no
art.
 Maths is a part of all of
those things. If it has got a
structure, then there’s an
aspect of it that’s
mathematical.