Education and Career Forum

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.


For the detailed syllabus, visit:
http://www.annauniv.edu/tancet2011/booklet.pdf

Just view page no. 12 to 25 after clicking the above link.

can i know d cut off mark for getting into the anna university chennai?

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For the syllabus of tancet 2010 me, m.tech, you can refer the following link:


http://tancet-exam.com/tancet-syllabus/

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