Calculus-2

Lecture notes 2012 Fall semester

Mikhail_1week

9.1 Three-Dimensional Coordinate Systems

9.2 Vectors

Mikhail_9week

12.1 Double Integrals over Rectangles

12.2 Iterated Integrals

12.3 Double Integrals over General Regions

Sakthivel_2week

9.3 The Dot Product

9.4 The Cross Product

9.5 Equations of Lines and Planes

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12.4 Double Integrals in Polar Coordinates

12.6 Surface Area

Sakthivel_3week (VOD1 VOD2)

9.6 Functions and Surfaces

9.7 Cylindrical and Spherical Coordinates

Mikhail_11week (VOD1 VOD2)

12.7 Triple Integrals

12.8 Triple Integrals in Cylindrical and Spherical Coordinates

12.9 Change of Variables in Multiple Integrals

Mikhail_4week

10.1 Vector Functions and Space Curves

10.2 Derivatives and Integrals of Vector Functions

10.3 Arc Length and Curvature

Sakthivel_12week (VOD1 VOD2)

13.2 Line Integrals

13.3 The Fundamental Theorem for line Integrals

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10.4 Motion in Space: Velocity and Acceleration

10.5 Parametric Surfaces

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13.4 Green's Theorem

13.5 Curl and Divergence

Sakthivel_6week (VOD1 VOD2)

11.2 Limits and Continuity

11.3 Partial Derivatives

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13.6 Surface Integrals

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11.4 Tangent Planes and Linear Approximations

11.5 The Chain Rule

11.6 Directional Derivatives and the Gradient Vector

11.7 Maximum and Minimum Values

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13.7 Stokes' Theorem

13.8 The Divergence Theorem

+Mid-term Exam

+Final Exam