by sen and sokol. there are only kinds of people in the world: those who know calculus and those who...

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By Sen and Sokol WHY STUDY CALCULUS ?

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Page 1: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

By Sen and Sokol

WHY STUDY CALCULUS ?

Page 2: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 3: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 4: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 5: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 6: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 7: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

 There are only

kinds of people in the world:

Those who know calculus and those who don’t.

CALCULUS

Page 8: By Sen and Sokol. 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

Page 9: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

…Is the study Of

How ThingsChange

CALCULUS

Page 10: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

Calculus has applications inScience,

Economics,And Engineering.

It can solve Many problems

For which Algebra aloneIs insufficient.

CALCULUS

Page 11: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. 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

Page 12: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

Applications of Differential And Integral calculus

In Physics ScienceInclude

Computations involving Velocity

And Acceleration,

The slope of a curveAnd

Optimization.

Page 13: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 14: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

Applications of Integral calculusInclude computations

InvolvingArea,

Volume,Arc length,

Centre of mass,Work,

And pressure.

Page 15: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 16: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

In BusinessSpecialists look at

The DerivativesOf Trends

That Can help them

PredictThe Future

Of The Stocks and Markets.

Page 17: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 18: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

Architects Use

OptimizationTo calculate

The best amount of materialThey can get within

Their BudgetAnd

Optimal Space in a BuildingThey are designing.

Page 19: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 20: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

Calculuscan be used To compute

The Trajectory

Of a Shuttle.

Page 21: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

…Or The amount of Snow

In the Driveway.

Page 22: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

…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.

Page 23: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 24: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

In the World of Medicine,

Calculus can be used To find

The Optimal Branching AngleOf

A Blood VesselSo as

To Maximize Flow.

Page 25: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS
Page 26: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

In Nuclear Medicine,

It is used to build Models of

Radiation Which Targets

Tumor Cells.

Page 27: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

In Economics,Calculus allows

The DeterminationOf The Maximal

ProfitBy providing a WayTo Easily Calculate

BothMarginal Cost

AndMarginal Revenue.

Page 28: By Sen and Sokol. There are only kinds of people in the world: Those who know calculus and those who don’t. CALCULUS

Dr. Calculus