05/01/2023

THIS PRESENTATION IS

DEVELOPED BY

FURQAN QURESHI . B TECH CIVIL ROLL NO :38/ECE/73/CE/12

APPLICATIONOF

MATHEMATICSIN

NATURE AND ENGINEERING

INTRODUCTION:

In our daily life, we use mathematics in various fields.

We know that mathematics is applied directly or indirectly in our everyday life.

Let us see some of their applications below:

GEOMETRY IN: NATURE (hexagon):

A honeycomb is an array of hexagonal (six sided) cells.

Squares will fill the space but will not be rigid.

Triangle will be rigid but we cant get honey out of corners.

SYMMETRYSymmetry is everywhere you look in

Nature

Symmetry is when a figure has two sides that are mirror images of one another.

Draw a line through a picture of the object and along either side the image would look exactly the same. This line would be called a line of symmetry.

One is Bilateral Symmetry in which an object has two sides that are mirror images of each other.

The other kind of symmetry is Radial Symmetry. This is where there is a center point and numerous lines of symmetry could be drawn.

There are two kinds of Symmetries

Bilateral SymmetryThe human body would be an excellent example of a living being that has Bilateral Symmetry.

Few more pictures in nature showing bilateral symmetry

Symmetry In Animals

Symmetry is when one shape becomes exactly like another if you flip, slide or turn it.

The simplest type of Symmetry is Reflection Symmetry, as shown in this picture of dog Flame.

05/01/2023

RADIAL SYMMETRYLILY AND SEA STAR DEMONSTRATES THE RADIAL CONCEPT .

Sand waves

1m

Ocean wave

10m

MATHEMATICS IN WAVES

A useful application of Fourier Analysis

The tides: a global wave

h(t)

t

Height of the Bombay tides 1872

h(t)

WeatherIn addition and subtraction the child can calculate how many days a week will be cold while

being informed about the weather in their city.

GCD in Music The concept of Greatest Common Denominator and Addition of Fractions can be used to determine if a musician is working within the given time signature or rhythm.

LCM in MusicThe math concept of Least Common Multiple can be used to determine where the second note will fall in relation to the three-note rhythmic scale.

APPLE LOGO ALSO USE MATHEMATICS

FORENSIC:

Mathematics is applied to clarity the blurred image to clear image. This is done by using differential and integral calculus.

ENGINEERING:

1.Civil engineers construct the roads, railways, harbour dock and airports.

2.They construct dams ,bridges ,reserviorsand water treatment plants and many other engineering projects.The below are applications of mathematics in engineering field:

MATHEMATICS IN AEROPLANES

AVIATION MATHEMATICS

1.DESIGN OF WINGS.

2. DESIGN OF fuselage is the part of the aircraft that contains the cockpit, passenger cabin or cargo hold.

Runway is an application of mathematics.

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.

USING MATHS TO FIND

ANTI-PERSONEL LAND MINESLand mines are hidden in foliage and triggered by trip wires

Land mines are well hidden .. we can use maths to find them.

CONCLUSION: 

In nut shell, we came to know that mathematics is an integral part of nature and engineering field.

THANK YOU

DONE BY

FURQAN QURESHI38/ECE/73/CE/12B .TECH (CIVIL)