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# Study BSc - Trignometry Vector Calculus and Analytical Geometry

I Expansion of Cosnφ. Sinnφ , Cosnφ. Sinnφ – Hyperbolic functions – seperation of real and imaginary parts of Sin(α+iβ), Cos(α+iβ), tan(α+iβ), Sinh(α+iβ), Cosh (α+iβ), tan(α+iβ), tanh(α+iβ). Logarithm of a complex number –summation of trigonometric series. II Scalar and vector point functions –differentiation of vectors - differential operators – directional derivative – gradient, divergence, curl. Integration for vectors- line,surface and volume integrals – Theorems of Gauss, Green, Stokes (Statements only) –Verifications. III Fourier series –definition – finding Fourier coefficients for a given periodic function with period 2π- odd and even functions – half range series – change of interval. Analytical geometry of two dimensions – polar coordinates-equation of a conic – directrix- chord- tangent –normal-simple problems. IV Analytical geometry of three dimension- staight lines – coplanarity of straight lines – shortest distance and equation of shortest distance of between two lines – simple problems. Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 4 of 26 Sphere – standard equation – results based on the properties of a sphere- tangent plane to a sphere – equation of a circle. V Cone and cylinder – cone whose vertex is at the origin – enveloping cone of a sphere – right circular cone – equation of a cylinder – right circular cylinder. Conicoids – nature of a conicoid – standard equation of a central conicoid – enveloping cone – tangent plane – conditions for tangency – director sphere and director plane.

## BSc Subjects

 Applied Electronics Atomic Physics and Nuclear Physics Classical Algebra and Calculus CLIENT SERVER COMPUTING Climatology and Oceanography Complex Analysis DATA COMMUNICATION AND NETWORKS DATA STRUCTURES AND C PROGRAMMING Differential Equation Lap lace Transforms DIGITAL FUNDAMENTALS AND ARCHITECTURE Economic geography Geography of India Geomorphology Heat Thermodynamics Mechanics Properties of Matter and Sound Human geography INTERNET and JAVA PROGRAMMING MATHEMATICAL FOUNDATION FOR COMPUTER Mathematical Physics Mechanics Modern Algebra OBJECT ORIENTED PROGRAMMING WITH C++ Optics Electricity and Magnetism Principles of cartography Quantum Mechanics and Relativity Real Analysis SOFTWARE ENGINEERING Solid State Physics Statistics for geographers Statistics for Mathematics SYSTEM SOFTWARE AND OPERATING SYSTEM Trigonometry Vector Calculus and Analytical Geometry VISUAL PROGRAMMING WEB TECHNOLOGY Business Economics Business Management Business Organisation and Office Management Business Statistics Commercial Law and Company Law Company law and secretarial practice I Company law and Secretarial practice II Corporate Accounting Cost and Management Accounting Executive Communication Financial Accounting Industrial law Life Office Management Managerial Economics Mathematics for Business Principles of Accountancy Principles of Life Insurance Principles of Management Principles of Marketing Priniciples of Reinsurance Statistics

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