Transcription of Section 1: Engineering Mathematics
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Section 1: Engineering Mathematics
CE civil Engineering Section 1: Engineering Mathematics Linear Algebra: Matrix algebra; Systems of linear equations ; Eigen values and Eigen vectors. Calculus: Functions of single variable; Limit, continuity and differentiability; Mean value theorems, local maxima and minima, Taylor and Maclaurin series; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Partial derivatives; Total derivative; Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green s theorems. Ordinary Differential Equation (ODE): First order (linear and non-linear) equations ; higher order linear equations with constant coefficients; Euler-Cauchy equations ; Laplace transform and its application in solving linear ODEs; initial and boundary value problems.
CE Civil Engineering Section 1: Engineering Mathematics Linear Algebra: Matrix algebra; Systems of linear equations; Eigen values and Eigen vectors.
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