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Lecture 1 |
Area of the Region Between Two Curves; Polar Coordinates |
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Lecture 2 |
Area in Polar Coordinates, Volume of Solids |
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Lecture 3 |
Washer and Shell Methods, Length of a plane
curve |
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Lecture 4 |
Areas of Surfaces of Revolution; Pappus's
Theorems |
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Lecture 5 |
Review of vectors, equations of lines and
planes; sequences in R^3 |
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Lecture 6 |
Calculus of Vector Valued Functions |
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Lecture 7 |
Principal Normal; Curvature |
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Lecture 8 -9 |
Functions of Several Variables : Continuity
and Differentiability |
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Lecture 10 |
Directional Derivatives, Gradient, Tangent Plane |
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Lecture 11 |
Mixed derivative Theorem, MVT, Extended MVT |
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Lecture 12 |
Maxima, Minima, Second Derivative Test |
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Lecture 13 |
Lagrange Multiplier Method |
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Lecture 14 |
Double integrals |
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Lecture 15 |
Change of Variable in a Double Integral, Triple
Integrals |
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Lecture 16 |
Change of Variables in a Triple Integral, Area of a
Parametric Surface |
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Lecture 17 |
Surface Area, Surface Integrals |
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Lecture 18 |
Line Integrals, Green's Theorem |
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Lecture 19 |
Green's Theorem (contd.), curl, Divergence |
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Lecture 20 |
Stokes' Theorem |
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Lecture 21 |
The Divergence Theorem |
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