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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.




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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
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INTERNET and JAVA PROGRAMMING
MATHEMATICAL FOUNDATION FOR COMPUTER
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Principles of cartography
Quantum Mechanics and Relativity
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Statistics for geographers
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Trigonometry Vector Calculus and Analytical Geometry
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Company law and secretarial practice I
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Corporate Accounting
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