PRACTICE PROBLEMS
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1 |
Area
of a region between curves; Polar Coordinates |
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2 |
Area
in Polar Co-ordinates, Volume of a Solid by Slicing |
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3 |
Washer
and Shell Methods, Length of a plane curve |
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4 |
Areas
of Surfaces of Revolution; Pappus's Theorems |
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5 |
Review
of vectors, equations of lines and planes, Quadric Surfaces |
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6 |
Calculus
of Vector Valued Functions I: Parametric curves |
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7 |
Calculus
of Vector Valued Functions II: Tangent, Normal and Curvature |
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8 |
Functions
of several variables : Sequences, continuity and partial derivatives |
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9 |
Functions of several variables : Differentiabilty
and Chain Rule |
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10 |
Directional
derivative, gradient and tangent plane |
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11 |
Mixed Partial Derivatives, Mean Value Theorem and Extended
Mean Value theorem |
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12 |
Maxima, Minima, Second Derivative Test |
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13 |
Method of Lagrange Multipliers |
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14 |
Double integral |
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15 |
Change
of variables in double integrals, Polar coordinates |
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16 |
Triple
integral, Change of variables, Cylindrical and Spherical coordinates |
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17 |
Parametric surfaces, surface area and surface integrals |
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18 |
Line
integrals |
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19 |
Green's
Theorem |
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20 |
Stokes'
Theorem |
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21 |
Divergence
Theorem |