# TANCET Syllabus

## Tamil Nadu Common Entrance Test Syllabus

==TOC==

### M.B.A

The question paper will have sections to
(i) Evaluate the candidate’s ability to identify critically the data and apply the data to business decisions from given typical business situations.
(ii) Evaluate the skill of the candidate in answering questions based on the passages in the comprehension.
(iii) Evaluate the skill on solving mathematical problems at graduate level including those learnt in plus two or equivalent level.
(iv) Test on determining data sufficiency for answering certain questions using the given data and the knowledge of mathematics and use of day-to-day facts.
(v) Test the knowledge on written English with questions on errors in usage, grammar, punctuation and the like.

### M.C.A

The question paper will have the following sections
(i) Quantitative ability
(ii) Analytical reasoning
(iii) Logical reasoning
(iv) Computer awareness

A few questions may also be on verbal activity, basic science etc.

### PART - I

#### Engineering Mathematics (Common to all Candidates)

Determinants and Matrices: Solving system of equations – Rank of the Matrix – Eigenvalues and eigenvectors – Reduction of quadratic form to canonical form.

Calculus and Differential Equations : Partial derivatives – Jacobians – Taylor’s expansion – Maxima and Minima. Linear ordinary differential equations with constant coefficients – Simultaneous first order linear equations with constant coefficients. Formation of partial differential equation (PDE) – Solution of first order PDE – Solution of linear higher order PDE with constant coefficients.

Vector Calculus: Double and triple integrations and their applications – Gradient, Divergence, Curl and Laplacian – Green’s, Gauss divergence and Stroke’s theorem.

Functions of Complex Variables and Complex Integration: Analytic functions – Conformal Mapping – Bilinear transformation – Cauchy’s integral theorem and integral formula – Taylor and Laurent Series – Singularities – Residues – Residue theorem and its applications.

Transforms: Laplace Transform – Inverse transforms – Application to solution of linear ordinary differential equations with constant coefficients. Fourier integral theorem – Fourier transform pair – Sine and Cosine transforms. - transform – Inverse Z–transform – Solution of difference equations using Z– transform.

Numerical Methods : Solution of linear system by direct and iterative methods – Interpolation and approximation – Numerical Differentiation and Integration – Solving Ordinary Differential Equations.

Applied Probability : Probability and Random variables – Standard Discrete and Continuous distribution – Moments – Moment generating function and their properties. Two-Dimensional Random Variables – Covariance – Correlation and Regression.

### PART - II

#### Basic Engineering and Sciences(Common to all Candidates)

Applied Mechanics: Law of Mechanics – Lame’s theorem – Forces, Moments and Couples – Displacement, velocity and Acceleration – Friction – Moment of Inertia.

Mechanical Engineering: Laws of thermodynamics – Open and closed systems – Equation of state – Heat and Work.

Physics: Sound – Latices – Ultrasonic flaw detector – X-ray radiography – Interference Fringes –Planck’s quantum theory – Laser and Fibre Optics.

Material Science: Fracture – Magnetic and Dielectric materials – Conductor and Semi conductor materials - Ceramic and Super conductor materials.

Civil Engineering: Fluid Statics and Dynamics – Boundary Layer – Pumps and Turbines – Environmental Pollution.

Electrical Engineering: Ohm’s law – Kirchoff’s law – A.C. circuits – D.C. machines – Transformers –Synchronous machines – Instrumentation.-

Computers: Computer organization – Architecture – Arrays – Pointers – User defined function – C program.

Chemistry: Adsorption – Chromatography – Chemical kinetics – Electrochemistry – Spectroscopy – Fuels and Combustion.