multi var calculus iitg lec 1

7/24/2019 Multi Var calculus IITG Lec 1

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MULTIVARIABLE CALCULUS

Relate Mathematics to the real world.

Use Mathematics as a tool in En ineerin .

This part of MA102 course will enable you to

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The physical interpretation of themathematical expressions.

HAVING FUN WITH CALCULUS.

Emphasis will be more on


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Review of Vectors

WHAT IS A VECTOR?

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Flow past an inclined aerofoil


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Displacement Vector, Initial pointand terminal point.

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Illustration of vector addition

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Illustration of vector subtraction (difference of vectors)

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Magnitude

Or Length

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Vector

Addition

And

Scalar

Multiplica

tion


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Position Vectors:

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Standard Basis Vectors

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Unit Vector



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Geometric Interpretation of the dot product:



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Projection: Scalar Projection and Vector Projection



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Applications


Is work done W=Fd?


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The Vector Cross Product



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Scalar triple product



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Applications


multi var calculus iitg lec 1

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