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Unit – I
Sequences – Series – Convergence and Divergence – Ratio test – Comparision test – Integral test – Cauchy’s root test – Rabe’s test – Absolute and conditional convergence
Unit – II
Rolle’s Theorem – Mean Value Theorem – Lagrang’s and Cauchy’s form with reminders – Radius, Centre and circle of curvatures – Evolutes and Envelopes
Unit – III
Functions of several variables – Partial Differentiation – Chain rule – Euler’s Theorem - Jacobins – Functional dependence – Taylor’s Theorem – Maxima and Minima of functions of two variables with and without constraints – Curve tracing – Cartesian, Parametric and Polar coordinates
Unit – IV
Application of integration to lengths, Volumes and surface areas – Cartesian and Polar coordinates – Double and triple integrals – change of variables – Changing the order of integration – Differential Equations of first order and first degree – Exact, Linear and Bernoulli equation.
Applications to Geometry, Law of Natural Growth and Newton’s Law of Cooling/
Unit – V
Linear Differential Equation of second and higher order with constant coefficients – Homogeneous simultaneous equations – Method of variation of parameters.
Laplace transformation of standard functions – Inverse Transforms – Convolutions theorem without proof – Transforms of periodic functions – LT of derivative and integrals – Applications of LT to ordinary differential equations.
Unit – VI
Gradients, Divergence, Curl and their related properties, Line, Surface, Volume Integrals – Potential function – work done as line integral – Curvilinear coordinates – Cylindrical and Spherical Coordinates – Expressions of Grad, Div, Curl, Spherical, Cylindrical and Polar coordinates – Green’s, Stokes and Divergence Theorems (with Proofs) and some simple problems.
Text Books
Advanced Engineering Mathematics – by Kreyszig E
Higher Engineering Mathematics – by BS Grewal
Engineering Mathematics – by Lazpathroy
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Comment for Jawaharlal Nehru Technological University (JNTU) Under Graduate Syllabus of Bachelor of Architecture (BArch)
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b.arch syllabus for 5years
i need syllabus copy for 5yrs of B.Arch
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regarding admission for 2010 in architechture or fine arts
i am doing diploma in garment .....
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From A Text book of English for Engineers and Technologists (OL)
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From A Text book of English .....
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