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ELECTRONICS AND INSTRUMENTATION ENGINEERING & INSTRUMENTATION AND control ENGINEERING UNIT 1: ENGINEERING MATHEMATICS Matrix characteristic equation eigen values and eigen vectors Cayley Hamilton theorem - partial derivatives maxima and minima linear differential equations with constant coefficients - linear first order simultaneous equations with constant coefficients Taylor and Laurent expansions - residue theorem Laplace transform initial and final value theorems inverse Laplace transform - Fourier series and Fourier transforms solution of standard types of first order partial
ELECTRONICS AND INSTRUMENTATION ENGINEERING & INSTRUMENTATION AND CONTROL ENGINEERING UNIT 1: ENGINEERING MATHEMATICS Matrix – characteristic equation – eigen values and eigen vectors – Cayley – Hamilton
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LAPLACE TRANSFORM AND ITS APPLICATION IN CIRCUIT ANALYSIS, Circuit Analysis, The Laplace transform in circuit analysis, Sensitivity and Tolerance Analysis in, Sensitivity and tolerance analysis, Circuit, ELECTRONICS AND COMMUNICATION ENGINEERING UNIT, MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS