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UET Taxila
http://www.uettaxila.edu.pk
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Course Management System - UET Taxila
COURSE DESCRIPTION This course will cover Basic Operations of complex numbers, De’Moivre’s Theorem with applications, Circular, Hyperbolic, Exponential Functions of complex numbers and their inverse functions.
Limits-Indeterminate forms, Continuity, differentiability, Total differential with applications to errors, Newton’s method of approximating roots of non-linear equations. Tracing of simple curves in Cartesian and Polar Coordinates, Curvature and radius of curvature. Partial differentiation with applications. Homogeneous functions. Tangent and normal. Review of basic integration methods. Application to Area, Arc Length, Volume and Surface of Revolution. Reduction formulae. Elementary Beta and Gamma integrals. Rectification and Quadrate. Centre of gravity. Centre of pressure. Moment of inertia of plane areas. Approximate integration. Scalar and Vector quantities, physical and geometrical meanings. Algebra of vectors. Scalar and vector triple products.
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