By Sen and Sokol
WHY STUDY CALCULUS ?
There are only
kinds of people in the world:
Those who know calculus and those who don’t.
CALCULUS
Is a branch of mathematics focused on • Limits
• Functions• Derivatives• Integrals and• Infinite series
CALCULUS
…Is the study Of
How ThingsChange
CALCULUS
Calculus has applications inScience,
Economics,And Engineering.
It can solve Many problems
For which Algebra aloneIs insufficient.
CALCULUS
Used in Every branch of Physics,
Computer Science,Statistics,
Engineering,Economics,
Business,Medicine,
Demography,And in other fields,
Wherever a problemCan be mathematically modelled,
and an optimal solution can be found.
CALCULUS
Applications of Differential And Integral calculus
In Physics ScienceInclude
Computations involving Velocity
And Acceleration,
The slope of a curveAnd
Optimization.
Applications of Integral calculusInclude computations
InvolvingArea,
Volume,Arc length,
Centre of mass,Work,
And pressure.
In BusinessSpecialists look at
The DerivativesOf Trends
That Can help them
PredictThe Future
Of The Stocks and Markets.
Architects Use
OptimizationTo calculate
The best amount of materialThey can get within
Their BudgetAnd
Optimal Space in a BuildingThey are designing.
Calculuscan be used To compute
The Trajectory
Of a Shuttle.
…Or The amount of Snow
In the Driveway.
…It can be used to calculate The amount of Area taken up by
An irregularly shapedFlower Bed
Or Swimming PoolWhen
Designing The Layout
Of A Piece Of Property.
In the World of Medicine,
Calculus can be used To find
The Optimal Branching AngleOf
A Blood VesselSo as
To Maximize Flow.
In Nuclear Medicine,
It is used to build Models of
Radiation Which Targets
Tumor Cells.
In Economics,Calculus allows
The DeterminationOf The Maximal
ProfitBy providing a WayTo Easily Calculate
BothMarginal Cost
AndMarginal Revenue.
Dr. Calculus