Visvesvaraya Technological University BTECH Syllabus

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Here is the syllabus
Module-1
Differential Calculus -1: determination of nth order 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 of 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 (without proof) -problems

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

Partial derivatives – Definition and simple problems, Euler’s theorem(without proof) – problems, total derivatives, partial differentiation of composite functions-problems. Definition and evaluation of Jacobians

Module-3
Vector Calculus:
Derivative of vector valued functions, Velocity, Acceleration and related problems, Scalar and Vector point functions. Definition of Gradient, Divergence and Curl-problems. Solenoidal and Irrotational vector fields. Vector identities - div(ɸA), curl (ɸA ), curl( grad ɸ), div(curl A).


Visvesvaraya Technological University Engineering Mathematics syllabus






Address:-
Visvesvaraya Technological University
Jnana Sangama, VTU Main Road, Machhe, Belagavi, Karnataka 590018

Phone:-
0831 240 5454

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