I am preparing for M.E. Entrance exam of TANCET. Can you please provide me sample paper of Maths of the exam to study?

.: You can practice for TANCET exam by solving sample papers and previous year question papers.

Syllabus of TANCET 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
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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.

For complete sample paper please download the pdf in attachment.

Attached Files

sample paper of maths, TANCET study material.pdf (489.5 KB, 313 views)