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
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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
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