MTH174 MCQs Practice Questions

ENGINEERING MATHEMATICS 

 MTH174 MCQs Practice Questions

ENGINEERING MATHEMATICS

CO1 :: recall the concepts of matrices and its application to solve the system of linear equations.

CO2 :: understand  the use of different methods for the solution of linear differential equations.

CO3 :: use  the concept of Fourier series for learning advanced Engineering Mathematics.

CO4 :: apply the concept of multi-variable differential calculus for solving the problems in the  field of sciences and engineering

CO5 ::analyze the surface and volume integral using various concepts of multi-variable integral  calculus.

Unit I :-  Matrix Algebra : elementary operations and their use in getting the rank, inverse of a matrix and solution of linear simultaneous equations, orthogonal, symmetric, skew-symmetric, hermitian, skew-Hermitian, normal & unitary matrices and their elementary properties, eigen-values and eigenvectors of a matrix, Cayley-Hamilton theorem.

Unit II :- Linear differential equation-I : introduction to linear differential equation, solution of linear differential equation, linear dependence and linear independence of solution, method of solution of linear differential equation- differential operator, solution of second order homogeneous linear differential equation with constant coefficient, solution of higher order homogeneous linear differential equations with constant coefficient.

Unit III :- Linear differential equation-II : solution of non-homogeneous linear differential equations with constant coefficients using operator method, method of variation of parameters, method of undetermined coefficient, solution of Euler-Cauchy equation, simultaneous differential equations by operator method.

Unit IV :- Fourier Series : introduction and Euler's formulae, conditions for a Fourier expansion and functions having points of discontinuity, change of interval, even and odd functions, half range series.

Unit V :- Multivariate Calculus : limit, continuity and differentiability of functions of two variables, chain rule, change of variables, Euler’s theorem for homogeneous equations, Jacobians, extrema of functions of two variables, Lagrange’s method of undetermined multipliers.

Unit VI :- Integral Calculus : double integrals, change of order of integration, change of variables, application of double integrals to calculate area and volume, triple integrals, application of triple integrals to calculate volume.

Text Books: 1.  ADVANCED ENGINEERING MATHEMATICS by R.K.JAIN, S.R.K. IYENGER, NAROSA PUBLISHING HOUSE.

References: 1. HIGHER ENGINEERING MATHEMATICS by B.S. GREWAL, KHANNA PUBLISHERS.

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