Calculus has many applications in fields like engineering, science, biology, economics and other areas. It was initially developed for navigation but is now used in building skyscrapers, bridges, vehicles, studying ecosystems, measuring growth rates, astronomy, space technology, economics, business surveys, investment planning and more. The document provides examples of how differentiation and integration from calculus are applied in various disciplines like using it for robotics, electrical systems, drug concentration in biology, Newton's laws of motion, and economic concepts. It concludes by stating calculus is also employed in mapping, solving paradoxes, and other domains.

1. Application in
real life

2. Application of calculus in real life
by
 Shamim Ahmed (152-15-5515)
“Nothing takes place in the world whose meaning
is not that of some maximum or minimum.”
--Leonhard Euler

3. WHAT IS CALCULUS?
 Calculus originally meant “mathematics”.
 Derived from the Latin “calx” (counter) –
ancient Babylonians would use pebbles to
represent units, tens, hundreds, etc, on a
primitive abacus.
 Later, defined as measuring varying rates of
change.

4. CALCULUS IS EVERYWHERE
The differentiation and integration of
calculus have many
real-world applications from sports to
engineering to astronomy to math
and space travel.

5. CALCULUS IN THE ENGINEERING FIELD
 Calculus initially developed for better navigation system.
 Engineers use calculus for building skyscrapers , bridges.
 In robotics calculus is used how robotic parts will work
on given command.
 Electrical and Computer engineers use calculus for
system design.
 Calculus is used to improve safety of vehicles.

6. CALCULUS IN BIOLOGY
 To study the interaction of different
species within an ecosystem calculus
is used.
 The concentration of drugs in a living
organism can be answered with calculus.
 Physical attributes, such as backbone length
and skull length measured by calculus.
 Calculus is used for measuring growth rate
of bacteria and certain species.

7. CALCULUS IN SCIENCE
• Isaac Newton developed the use of calculus
in his laws of motion and gravitation.
• Astronomical science deeply depend on calculus.
• Space technology use calculus in many ways.
• Calculus is used to build tracks.

8. Calculus in Economics
• Functions and derivatives of calculus are relate
to relevant concepts in economics.
• Economic research uses calculus functional relationships,
relation of income , market prediction etc.
• Differentiation is used to find optimum solutions of economics.
• Calculus also used for max efficiency or products or to minimize
their costs.
• Credit card companies use calculus for monthly payments.

9. Calculus in other fields
• Business and politicians often conduct surveys
with the help of calculus.
• Investment plans do not pass before mathematicians
approves.
• Doctors often use calculus in the estimation of the
progression of the illness.
• Global mapping is done with the help of calculus.
• Calculus also used to solve paradoxes.

10. REFERENCES
i. www.Wikipedia.org
ii. www.ehow.com
iii. Answers.yahoo.com
iv. www.youtube.com
v. www.enotes.com
vi. www.studymode.com
“All my references are 50 years old-when somebody shot
J.R., you know? Oh my god, I'm 100!”
--Lauren Graham

11. THANKS FOR LISTENING!