Mathematics in everyday life

Mathematics importance in everyday life

1. MATHEMATICS IS MORE IMPORTANT THAN
YOU MIGHT THINK ….
BY
SHIVA KRISHNA REDDY CH.....
IIMC HYD.

2. SOME COMMON VIEWS OF MATHEMATICS
 MATHS IS HARD
 MATHS IS BORING
 MATHS HAS NOTHING TO DO WITH REAL LIFE
BUT I CAN SHOW YOU THAT MATHS IS IMPORTANT IN
EVERYDAY LIFE AND CRIME DETECTION MEDICINE
FINDING LANDMINES

AND MANY OTHER CAREERS!!!!!!!!!

3. A. COOKING
WHEN WE COOK WE
NEED TO MEASURE THE
INGREDIENTS IN TERMS OF
TABLESPOONS,TEASPOON,OUNCE
S,GRAMS,KILOGRAMS ETC.IF WE
ARE PREPARING MEALS FOR
MANY PEOPLE,WE WILL NEED TO
CONVERT THE MEASUREMENTS
ACCORDINGLY.MESSING UP WITH
THE MEASUREMENTS CAN
RESULT IN DISASTROUS MEALS .\
B. GROCERY SHOPPING
IN GROCERY OR ANY
OTHER SHOPS,MATHS IS USED
FOR BILLING OR FOR
CALCULATING THE AMOUNT OF
THE MONEY YOU HAVE TO PAY
AND THE MONEY SAVED.

4. C. DIET
PEOPLE WHO ARE OVER WEIGHT
NEED TO BE CONSCIOUS OF THEIR CALORIE
INTAKE.ESPECIALLY IF THEY ARE ON SPECIAL
WEIGHT LOSS DIET,KNOWLEDGE OF MATHS
IS NEEDED TO CALCULATE THE TOTAL
AMOUNT OF CALORIES CONSUMED IN A
DAY,ONE WEEK,AND ONE MONTH
D. BUDGET
IF WE ARE NOT KNOWING HOW
MUCH MONEY WE HAVE AND HOW MUCH WE
ARE ALLOWED TO SPEND IS A DEFINITE
WAY OF LANDING OURSELF IN THE LAP OF
CREDIT.EVEN IF WE ARE NOT PAYING THE
ELECTRICITY BILL,WATER BILL OR CABLE TV
BILLS, ONE BILL THAT YOU DEFINITELY
CANNOT ESCAPE IS THE RESTAURANT BILL.
RESTAURANTS ARE PLACES WHERE YOUR
MATHS KNOWLEDGE BECOMES SO USEFUL.

6.  They look for skid marks and measure them.
 Then use a certain formula S= 15.9 √df
 To figure out if the accident was preventable.
 Helps find the quickest route to a citizen in trouble.
(Geometry)
Find out how many crooks you need to bust to make
your town twice as safe.(Algebra)
In order to become a cop you need to pass a test and
math is required.(fact)

7. Maths and crime: Deblurring a number plate
A short crime story
• Burglar robs a bank
• Escapes in a getaway car
• Pursued by police
Nasa

8. GOOD NEWS
Police take a photo
BAD NEWS
Photo is blurred

9. SOLUTION
Find a model of the blurring process
Original image

f
Blurred image
h
• Blurring formula
• Inverting the formula we can get rid the blur
• BUT need to know the blurring function g
Blurring function g
ydygyxfxhò
-=
2
)()()(

10. An example of Image Processing
( ) pv
vvv
2//
222
dxgdexhdeef
xixiyi
òòò
--
=
Inversion formula
h(x) f(x)
Maths is widely used in the forensic service!!

11. HOW MATHS WILL GET YOU ON TV
PICTURES AND IMAGES ARE ALL AROUND US
• TV
• DVD
• COMPUTER GRAPHICS
• SPECIAL EFFECTS
IMAGES ARE STORED AS NUMBERS – bitmap

USING THESE NUMBERS WE CAN PROCESS
THE PICTURES BY USING MATHEMATICS

12. MATHS AND MEDICINE
Modern medicine has been transformed by methods of seeing
Inside you without cutting you open!
• Ultra sound: sound waves
• MRI: magnetism
• CAT scans: X rays
ALL USE MATHS TO WORK!!

13. 13
detectors
Modern CAT scanner & MRI
Lots of mathematicians work in medicine
This has been physics and engineering so far, but we are now ready to This has been physics and engineering so far, but we are now ready to
add the MATH! add the MATH!
In CAT Scans (Computer Aided Tomography) and MRI’s (Magnetic Resonance In CAT Scans (Computer Aided Tomography) and MRI’s (Magnetic Resonance
Imaging), and similar diagnostic technologies, images are made from thousands, Imaging), and similar diagnostic technologies, images are made from thousands,
even millions of different perspectives –– even millions of different perspectives ––
and mathematics is used to integrate the information from all these perspectives into and mathematics is used to integrate the information from all these perspectives into
a single THREE-dimensional digital image!.a single THREE-dimensional digital image!.
This new use of mathematics has revolutionized diagnostic medicine, yet few in our This new use of mathematics has revolutionized diagnostic medicine, yet few in our
society recognize it as new mathematics helping all of us! society recognize it as new mathematics helping all of us!

14. FINALE: USING MATHS TO FIND
ANTI-PERSONEL LAND MINES
Land mines are hidden in foliage and triggered by trip wires
Land mines are well hidden .. we can use maths to find them

15. Find the trip wires in this picture

16. Digital picture of foliage is taken by camera on a long pole
Image intensity f(x,y)
•
•
•
•
Trip wires are like X-Rays
Radon
transform
x
y
f(x,y)
R(ρ,θ)
Points of high intensity in R correspond to trip wires
θ
ρ
Isolate points and transform back to find the wires

17. Mathematics finds the land mines!
Who says that maths isn’t relevant to real life?!?

18. Some interesting mathematical facts
• Over 70% of all jobs require maths
• On average maths graduates earn more than any other
profession
• Many degrees require maths including statistics, physics,
engineering, economics, chemistry, medicine, IT, computer
games, computer science, social-science, psychology, fashion
design, business studies, accountancy, actuarial studies,
electronics, aeronautics, cryptography, ..
• Without maths we would have no TV, mobile phones, Internet,
credit cards, computer games, CDs, Radar, aeroplanes, DNA
profiling, …
• Maths is vital working out your mortgage payments, APR
calculations, family budget