[nilesh]

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Can you provide me the syllabus of B. Tech Civil Engineering of CUSAT (Cochin University of Science and Technology) on which the question paper is based?

[Vishal Kotkar]

The syllabus of B. Tech Civil Engineering of CUSAT (Cochin University of Science and Technology) on which the question paper is based is as follows:

1101 ENGINEERING MATHEMATICS I

Module I
Ordinary differential equations:
First order differential equations - exact differential equations, Bernoulli's equations--Methods of solution and Simple applications.
Linear differential equations of higher orders with constant co-efficient-Methods of solution of these equations
Cauchy’s linear differential equations Simultaneous linear differential equations- Simple applications of linear differential equations in engineering problems –Electrical Circuits, Mechanical Systems.

Module II
Infinite series:
Integral test, comparison test, ratio test, Cauchy’s root test, Raabe’s test, series of positive and negative terms, concept of absolute convergence, alternating series, Leibniz test (No proofs for any of the above tests)
Power series: Taylor and Maclaurin series of functions, Leibniz formula for the nth derivative of the product of two functions (No proof),use of Leibniz formula for the determination of co-efficient of the power series.

Module III
Partial differentiation:
Partial differentiation-Concept of partial derivative - Chain rule- Total derivative Euler’s theorem for homogeneous functions, Differentials and their applications in errors and approximations, Jacobians - Maxima minima of functions of two variables(Proof of the result not required)-Simple applications.
Co-ordinate systems: Rectangular co-ordinates-Polar co-ordinates-In plane and in Space-Cylindrical polar coordinates-Spherical polar co-ordinates.

Module IV
Integral calculus:
Application of definite integrals: Area, Volume, Arc length, Surface area.
Multiple integrals: Evaluation of double integrals-Change of order of integration. Evaluation of triple integrals Change of Variables in integrals Applications of multiple integrals. Plane Area, Surface area &Volumes of solids