TANCET Examination Syllabus for Mathematics (Common to all branches)

Posted Date: 05 May 2008 Resource Type: Articles/Knowledge Sharing Category: Syllabus

Posted By: vivekanandan Member Level: Gold
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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. 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. - 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.

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TANCET Examination Syllabus for Mathematics (Common to all branches)

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