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August 22nd, 2016, 06:39 PM
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Join Date: Mar 2012
Re: VTU Chemistry Cycle Syllabus

As you asking for the Syllabus of the Engineering Mathematics of the
Chemistry Cycle of the VTU University the syllabus is as follow


UNIT –I
Differential Calculus -1
Determination of nthorder derivatives of Standard functions - Problems. Leibnitz’s
theorem (without proof) - problems.

Polar Curves- angle between the radius vector and tangent, angle between two
curves, Pedal equation for polar curves. Derivative of arc length - Cartesian,
Parametric and Polar forms (without proof) - problems. Curvature and Radius of
Curvature – Cartesian, Parametric, Polar and Pedal forms and problems.


UNIT-II
Differential Calculus -2
Taylor’s and Maclaurin’s theorems for function of one variable(statement
only)- problems. Evaluation of Indeterminate forms.

Partial derivatives - Euler’s theorem - problems, total derivatives, partial
differentiation of composite functions, Jacobians-definition and problems, extreme
values of functions of two variables



UNIT-III
Vector Calculus:
Derivative of a vector valued function, Velocity and Acceleration and related
problems, Scalar and Vector point functions, Gradiant, Divergence, Curl,
Solenoidal and Irrotational vectors, vector identities; div(ȈA), curl (ȈA ),
curl( grad Ȉ), div(curl A).

Leibnitz rule for Differentiation under integral sign with constant and variable
limits.Curve Tracing- Cartesian, polar and parametric forms with examples

UNIT IV
Integral Calculus:
Reduction formula- (m and n are
positive integers), evaluation of these integrals with standard limits (0 to π/2) and
problems.

Differential Equations;
Solution of first order and first degree differential equations-.Exact, reducible to
exact forms. Applications- orthogonal trajectories,Newton’s law of cooling, flow
of electricity, laws of decay and growth.



For any query you may contact to the VTU University the contact details are as follow

Contact details

VTU University
Address: Jnana Sangama, VTU Main Road, Machhe, Belagavi, Karnataka 590018
Phone: 0831 249 8196


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