Post on 05-Apr-2018
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1. MATHEMATICS IN DAILY LIFE
2. ABSTRACTINTRODUCTION - MATHS IN NATURE -MATHS
HELP OUR LIVES - MATHS INENGINEERING - GEOMETRY IN CIVIL
-MATHS IN MEDICINE - MATHS INBIOLOGY - MATHS IN MUSIC -
MATHS INFORENSIC - CONCLUSION.
3. INTRODUCTION What use is maths in everyday life? "Maths is
all around us, its everywhere we go". Its a lyric that could so easily have
been sung by Wet Wet Wet. It may not have made it onto the Four
Weddings soundtrack, but it certainly would have been profoundly true. Not
only does maths underlie every process and pattern that occurs in the
world around us, but having a good understanding of it will help
enormously in everyday life. Being quick at mental arithmetic will save you
pounds in the supermarket, and a knowledge of statistics will help you see
through the baloney in television adverts or newspaper articles, and to
understand the torrent of information youll hear about your local football
team.
4. MATHS IN NATURE
5. HEXAGON IN NATUREA honeycomb is an array of hexagonal
(six- sided) cells, made of wax produced by worker bees. Hexagons fit
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9. A globe is a good example of rotational symmetry in a three-
dimensional object. The globe keeps its shape as it is turned on its stand
around an imaginary line between the north and south poles. The globe
shown here dates from the late 15th or early 16th century and is one of the
earliest three-dimensional representations of the surface of the Earth. It
can be found in the Historical Academy in Madrid.
10. UNDERSTANDING PERCENTAGE
Using money is a good way of understanding percentages. As
there are 100 pence in 1, one hundredth of 1 is therefore 1 pence,
meaning that 1 per cent of 1 is 1 pence. From this we can calculate that
50 per cent of 1 is 50 pence. This photograph shows three British
currency notes: a 5 note, a 10 note and a 20 note. If 50 pence is 50 per
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cent of 1, then 5 is 50 per cent of 10, and so 10 is 50 per cent of
20.11.
12. DECIMAL CALCULATOR
13. A pocket calculator is one way in which decimals are used in
everyday life. The value of each digit shown is determined by its place in
the entire row of numbers on the screen. In this photograph, the 7 is worth700 (seven hundreds), the 8 is worth 80 (eight tens) and the 6 is worth 6
(six ones).
14. SYMMETRY IN TOWER
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15. MATHS HELPING OUR LIVES
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The newspaper found that the difference can be as much as 30%.
The supermarket chains may be exploiting the assumption people have
that buying in bulk is cheaper, but if you work it out quickly in your head
youll never be caught out. An article in the Sunday Times in June 2004
revealed the fact that you cant even assume that buying larger bags of
exactly the same pasta would work out cheaper. It said that in many of the
supermarkets buying in bulk, for example picking up a six-pack of beer
rather than six single cans, was in fact more expensive.16.
17. SPOTTING DODGY STATISTICSHow many adverts have
youheard that make some claimsuch as "8 out of 10 womenprefer our
shampoo to their oldone"? Did those enthusiaststhink it was greatly better,
ornot really much of a difference?What about the other 20%?They might
have absolutelyhated it because it made alltheir hair fall out! And
whatquestion were they answering:that they really believe it madetheir hair
any cleaner than adifferent shampoo, or that theypreferred the smell, or
shape ofthe bottle?
18. MATHS IN ENGINEERING
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If it is rainy and cold outside, you will be happy to stay at home a
while longer and have a nice hot cup of tea. But someone has built the
house you are in, made sure it keeps the cold out and the warmth in, and
provided you with running water for the tea. This someone is most likely an
engineer. Engineers are responsible for just about everything we take for
granted in the world around us, from tall buildings, tunnels and football
stadiums, to access to clean drinking water. They also design and build
vehicles, aircraft, boats and ships. Whats more, engineers help to develop
things which are important for the future, such as generating energy from
the sun, wind or waves. Maths 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 necessary to power a car.
19. GEOMETRY IN CIVIL
This a pictures with some basic geometric structures. This is a
modern reconstruction of the English Wigwam. As you can there the door
way is a rectangle, and the wooden panels on the side of the house are
made up of planes and lines. Except for really planes can go on forever.
The panels are also shaped in the shape of squares. The house itself is
half a cylinder.
20. LINES&PLANES
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Here is another modern reconstruction if of a English Wigwam.
This house is much similar to the one before. It used a rectangle as a
doorway, which is marked with the right angles. The house was made with
sticks which was straight lines at one point. With the sticks in place they
form squares when they intercepts. This English Wigwam is also half a
cylinder.
21. PARALLELOGRAMS
This is a modern day skyscraper at MIT. The openings and
windows are all made up of parallelograms. Much of them are rectangles
and squares. This is a parallelogram kind of building.
22. CUBES AND CONES
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This is the Pyramids, in Indianapolis. The pyramids are made up ofpyramids, of course, and squares. There are also many 3D geometric
shapes in these pyramids. The building itself is made up of a pyramid, the
windows a made up of tinted squares, and the borders of the outside walls
and windows are made up of 3D geometric shapes.
25. RECTANGLES AND CIRCLES
This is a Chevrolet SSR Roadster Pickup. This car is built with
geometry. 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 1/4 of a sphere. If a person wouldlook very closely the person would see a lot more shapes in the car. Too
many to list.
GEOMETRY IN CAD
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Geometry is a part of mathematics concerned with questions of
size, shape, and relative position of figures and with properties of space.
Geometry is one of the oldest sciences
Computer-aided design, computer-aided geometric design.
Representing shapes in computers, and using these descriptions to create
images, to instruct people or machines to build the shapes, etc. (e.g. the
hood of a car, the overlay of parts in a building construction, even parts of
computer animation).26.
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27. Computer graphics is based on geometry - how images are
transformed when viewed in various ways.Robotics. Robotic vision,
planning how to grasp a shape with a robot arm, or how to move a large
shape without collission.
28. STRUCTURAL ENGINEERING
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Structural engineering. What shapes are rigid or flexible, how they
respond to forces and stresses. Statics (resolution of forces) is essentially
geometry. This goes over into all levels of design, form, and function of
many things.
29. MATHS IN MEDICINE
Medical imaging - how to reconstruct the shape of a tumor from
CAT scans, and other medical measurements. Lots of new geometry and
other math was (and still is being) developed for this. Protein modeling.
Much of the function of a protein is determined by its shape and how the
pieces move. Mad Cow Disease is caused by the introduction of a shape
into the brain (a shape carried by a protein). Many drugs are designed to
change the shape or motions of a protein - something that we are just now
working to model, even approximately, in computers, using geometry and
related areas (combinatorics, topology).
Symmetry is a central concept of many studies in science - and
also the central concept of modern studies of geometry. Students struggle
in university science if they are not able to detect symmetries of an object
(molecule in stereo chemistry, systems of laws in physics, ... ). the study of
transformations and related symmetries has been, since 1870s the definingcharacteristic of geometric studies Physics, chemistry, biology, 30.
MATHS IN BIOLOGY
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Music theorists often use mathematics to understand musical
structure and communicate new ways of hearing music. This has led to
musical applications of set theory, abstract algebra, and number theory.
Music scholars have also used mathematics to understand musical scales,
and some composers have incorporated the Golden ratio and Fibonacci
numbers into their work.31. MATHS IN MUSIC
If we take the ratios constituting a scale in just intonation, there
will be a largest prime number to be found among their prime
factorizations. This is called the prime limit of the scale. A scale which usesonly the primes 2, 3 and 5 is called a 5-limit scale; in such a scale, all tones
are regular number harmonics of a single fundamental frequency. Below is
a typical example of a 5-limit justly tuned scale, one of the scales Johannes
Kepler presents in his Harmonice Mundi or Harmonics of the World of
1619, in connection with planetary motion. The same scale was given in
transposed form by Alexander Malcolm in 1721 and theorist Jose
Wuerschmidt in the last century and is used in an inverted form in the
music of northern India. American composer Terry Riley also made use of
the inverted form of it in his "Harp of New Albion". Despite this impressive
pedigree, it is only one out of large number of somewhat similar
scales.32. INTONATION
33. MATHS IN FORENSICMATHS IS APLLIED TO CLARIFY
THEBLURRED IMAGE TO CLEAR IMAGE.THIS IS DONE BY
USINGDIFFERENTIAL AND INTEGRALCALCULUS
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