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Department of
STATISTICS AND INFORMATICS
Engineering Mathematics
Mathematics-II (MA134)
This course is for 2nd semester students of 4-year B. Tech in Civil, Mechanical, Electrical, Electronics & Communication Engineering, Computer Science & Engineering & 5 year Master of Computer Application.
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Problem Sets
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Matrix Algebra:
Review of matrix, properties, types of matrices, Determinants and various properties. Rank of a matrix. System of linear equations, linear dependence and dimension. Matrices, elementary row operations. System of linear equations as matrix equations and the invariance of its solution set under row-equivalence. Row reduced matrices, row-reduced echelon matrices.
Differential Equation:
Differential equation of first order and first degree; Exact, variables separable, homogeneous and linear differential equations, Bernoulli’s equation, ODEs of first order but not of first degree; Clairaut’s equation – singular solution, tac-locus, nodal locus, cuspidal locus.
Higher order linear equation with constant coefficients; Complementary function, Particular integral, method of undetermined coefficients, Symbolic Operator D; variation of parameters; Euler’s homogeneous equation and deduction to an equation of constant coefficients; Second order linear equation with variable coefficients: exact equation: reduction of order; variation of parameters; reduction to normal form; change of independent variables.
Simple eigenvalue problems. System of linear differential equations with constant coefficients.
References:
- Engineering Mathematics (Volume-I & II),B. K. Pal & K. Das
- Engineering Mathematics-I, S. Kar & S. Karmakar
- Higher Algebra, S. K. Mapa
- Differential Equation, Maity & Ghosh
To download syllabus in PDF format click here.
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