Tamil Nadu Common Entrance Test (TANCET) : Syllabus - Engineering Mathematics

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Tamil Nadu Common Entrance Test (TANCET)

Application Procedure

Syllabus

Exam Date 2024

Syllabus
Part -I : Engineering Mathematics
Part - II : Basic Engineering & Sciences
Part - III : 1) Civil Engineering & Geo Informatics | 2) Earth Science | 3) Mechanical, Automobile & Aeronautical Engineering | 4) Electrical & Electronics Engineering and Instrumentation Engineering | 5) Electronics & Communication Engineering | 6) Production & Industrial Engineering | 7) Computer Science & Engineering and Information Technology | 8) Chemical Engineering, Ceramic Technology & Biotechnology | 9) Textile Technology | 10) Leather Technology | 11) Architecture | 12) Physics & Material Science | 13) Mathematics | 14) Social Science

PART - I

ENGINEERING MATHEMATICS (Common to all Candidates)

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

ii) 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.

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

iv) 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.

v) 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.

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

vii) 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.