Calculus is used in many fields including physics, engineering, economics, statistics, and medicine. It is used to create mathematical models and arrive at optimal solutions. For example, in physics, many concepts are based on calculus. Weather prediction also uses calculus-based computer modeling to more accurately predict weather based on variables like temperature, wind speed, and moisture levels. The spread of infectious diseases can also be modeled using calculus to determine how far and fast a disease may spread based on susceptible, infected, and recovered populations. Calculus is widely applied in engineering fields from civil to mechanical engineering to analyze structures, fluids, thermal systems, and more.

1. Assignment No 1
B S C S 1 C
R o l l n o . 1 2 1
R e h a n u l h a q
 Use of calculus in daily life
 Use of calculus in science and
engineering

2. Application of calculus in our daily life
Among the disciplines that utilize calculus include physics, engineering,
economics, statistics, and medicine. It is used to create mathematical models
in order to arrive into an optimal solution. For example, in physics, calculus is
used in a lot of its concepts.
Algorithms are used every day by major search engine companies to
help refine searches for the person behind the keyboard. Algorithms are
calculations used to compile a large amount of data and variables into an
equation, spitting out the best possible answer. These algorithms are what
makes search engines so adept at finding the precise answer quickly. They take
into account variables such as the user's geographic location, web history and
how useful other users have found similar webpages to create an appropriate
search result. All of these variables are utilized to define the rules and
constraints of sequent calculus equations that produce the most logical and
effective results.

3. Weather is more accurately predicted than ever before. Part of the
improvement is thanks to technology, such as computer modelling that uses
calculus and is able to more meticulously predict upcoming weather. These
computer programs also use types of algorithms to help assign possible
weather outcomes in a region. Much like in the computer algorithms, weather
forecasts are determined by considering many variables, such as wind speed,
moisture level and temperature. Though computers do the heavy lifting of
sifting through massive amounts of data, the basics of meteorology are
grounded in differential equations, helping meteorologists determine how
changes in the temperatures and pressures in the atmosphere may indicate
changes in the weather.
The field of epidemiology -- the study of the spread of infectious disease
-- relies heavily on calculus. Such calculations have to take three main factors
into account: those people who are susceptible to a disease, those who are
infected with the disease and those who have already recovered from it. With
these three variables, calculus can be used to determine how far and fast a
disease is spreading, where it may have originated from and how to best treat
it. Calculus is especially important in cases such as this because rates of
infection and recovery change over time, so the equations must be dynamic
enough to respond to the new models evolving every day.
Calculus is used to improve the architecture not only of buildings
but also of important infrastructures such as bridges. Bridges are
complex constructions because they have to be able to support varying

4. amounts of weight across large spaces. When designing a bridge, one
must take into account factors including weight, environmental factors
and distance. Because of this, maths such as differential calculus and
integral calculus are often used to create the most robust design. The
use of calculus is also creating a change in the way other architecture
projects are designed, pushing the frontier of what sorts of shapes can
be used to create the most beautiful buildings. For example, though
many buildings have arches with perfect symmetry, calculus can be used
to create archways that are not symmetric along with other odd shapes
that are still able to be structurally sound.
Calculus is used in every branch of the physical sciences, actuarial science, computer
science, statistics, engineering, economics, business, medicine, demography, and in other
fields wherever a problem can be mathematically modelled and an optimal solution is

5. desired. It allows one to go from (non-constant) rates of change to the total change or vice
versa, and many times in studying a problem we know one and are trying to find the other.
Calculus, defined as the mathematical study of change, was developed
independently by Isaac Newton and Gottfried Wilhelm von Leibniz in the 17th century.
Engineering is defined as "the profession in which a knowledge of the mathematical and
natural sciences gained by study, experience, and practice is applied with judgment to
develop ways to utilize, economically, the materials and forces of nature for the benefit of
mankind." Some engineers directly use calculus in their daily practice and some use
computer programs based on calculus that simplify engineering design. Two methods of
calculus, differentiation and integration, are particularly useful in the practice of
engineering, and are generally used for optimization and summation, respectively.

6. Many aspects of civil engineering require calculus. Firstly, derivation of the basic fluid
mechanics equations requires calculus. For example, all hydraulic analysis programs, which
aid in the design of storm drain and open channel systems, use calculus numerical methods
to obtain the results. In hydrology, volume is calculated as the area under the curve of a plot
of flow versus time and is accomplished using calculus.

7. In structural engineering, calculus is used to determine the forces in complex
configurations of structural elements. Structural analysis relating to seismic design
requires calculus. In a soil structure context, calculations of bearing capacity and
shear strength of soil are done using calculus, as is the determination of lateral earth
pressure and slope stability in complex situations.
Many examples of the use of calculus are found in mechanical engineering, such as
computing the surface area of complex objects to determine frictional forces, designing a
pump according to flow rate and head, and calculating the power provided by a battery

8. system. Newton's law of cooling is a governing differential equation in HVAC design that
requires integration to solve.
Numerous examples of the use of calculus can be found in aerospace engineering.
Thrust over time calculated using the ideal rocket equation is an application of calculus.
Analysis of rockets that function in stages also requires calculus, as does gravitational
modelling over time and space. Almost all physics models, especially those of astronomy
and complex systems, use some form of calculus.