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Economics Essay

Plane Curves defined by parametric equations, Calculus with parametric curves, Arc length, Tangents, Areas, Length, Area of Surface of revolution, Polar coordinates, graphs in polar coordinates, Tangents, Areas and Lengths in Polar Coordinates. Topics in Analytical Geometry Introduction to the conic sections, Definition, graphs and reflection properties of parabola, ellipse and hyperbola, translation of coordinate axes. Three-Dimensional Space; Vectors Rectangular coordinates in 3-space, sphere, Vectors, Dot product, Cross product, Parametric equations of lines, Planes in 3-space, Cylinders and Quadric Surfaces.. Vector-valued Functions

Introduction to vector-valued functions, Calculus of vector valued functions, arc length, unit tangent and unit normal, curvature. Partial Derivatives Functions of two or more variables, level curves, limits and continuity, Partial derivatives, Tangent Planes and Linear Approximation, The chain rule, Directional derivatives and gradients, Maxima and minima of functions of two variables, Lagrange multipliers. Double integrals for rectangular and non rectangular regions, Triple integrals. Assessment Scheme Two Tests each of 20 marks during semester = 40 marks Quizzes & Assignments Final Examination Total = 20 marks = 100 marks

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