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10.4: Polar coordinate-The Polar Coordinate System, Relationship Between, Polar and Rectangular Coordinates, Graphs of Polar Equations, Symmetry,, Tangent Lines to Graphs of Polar Equations, , 10.5:Areas and Arc Lengths in polar coordinates-Areas in Polar, Coordinates, area bounded by polar curves, Area Bounded br ~ ~ Are, Length in Polar Coordinates, Area of a Surface of Re 93 / 103 of, Intersection of Graphs in Polar Coordinates, , , , , , , , Module-IV (20 hrs), , , , 11.5 : Lines and Planes in Space-Equations of Lines in Space, parametric, equation, symmetric equation of a line, Equations of Planes in Space, standard, equation, Parallel and Orthogonal Planes, The Angle Between Two Planes,, The Distance Between a Point and a Plane, , 11.6: Surfaces in Space- Traces, Cylinders, Quadric Surfaces, Ellipsoids,, Hyperboloids of One Sheet, Hyperboloids of Two Sheets, Cones, Paraboloids,, Hyperbolic Paraboloids, , 11.7: Cylindrical and Spherical Coordinates-The Cylindrical Coordinate, System, converting cylindrical to rectangular and vice verse, The Spherical, Coordinate System, converting spherical to rectangular and vice verse,, , 12.1: Vector Valued functions and Space Curves- definition of vector function,, Curves Defined by Vector Functions, /‘Example 7’ omitted] Limits and, Continuity, , 12.2:Differentiation and Integration of Vector-Valued Function- The, Derivative of a Vector Function, Higher-Order Derivatives, Rules of, Differentiation, Integration of Vector Functions,, , 12.3: Arc length and Curvature- Arc Length ofa space curve, Smooth Curves,, Arc Length Parameter, arc length function, Curvature, formula for finding, curvature, Radius of Curvature,, , 12.4: Velocity and Acceleration- Velocity, Acceleration, and Speed; Motion, of a Projectile, , 12.5: Tangential and Normal Components of Acceleration- The Unit, Normal, principal unit normal vector, Tangential and Normal Components of, Acceleration [The subsections ‘ Kepler’s Laws of Planetary Motion ’, and ’, Derivation of Kepler’s First Law’ omitted ]