Engineering Mathematics II

410.00 396.00

Written By:—–S.K.Kate, A.R.Tambe, H.R.Bhapkar ISBN 9789350388785
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Description

Description

Unit I [Chapter – 1] 
Differential Equations (DE) : Definition, Order and Degree of DE, Formation of DE. Solutions of variable separable DE, Exact DE, Linear DE and reducible to these types.
Unit II [Chapter – 2]
Application of DE : Applications of DE to orthogonal trajectories, Newton’s law of cooling, Kirchhoff’s law of electrical circuits, Motion under gravity, Rectilinear motion, Simple harmonic motion, One-Dimensional conduction of heat, Chemical problems.
Unit III [Chapters – 3, 4, 5]
Fourier Series : Definition, Dirichlet’s conditions, Full range Fourier Series, Half range Fourier Series, Harmonic analysis and application to problems in engineering.
Integral Calculus : Reduction formulae, Beta and gamma functions.
Unit IV [Chapters – 6, 7, 8, 9]
Integral Calculus : Differentiation under the integral sign, Error functions.
Curve Tracing : Tracing of curves, Cartesian, Polar and parametric curves. Rectification of curves.
Unit V [Chapters – 10, 11, 12, 13]
Solid Geometry : Cartesian, Spherical polar and cylindrical co-ordinate systems, Sphere, Cone and cylinder.
Unit VI [Chapters – 14, 15]
Multiple Integrals and their Applications : Double and triple integrations, Applications to area, Volume, Mean and root mean square values, Mass, Centre of gravity and moment of inertia.
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