50 TOP Engineering Mathematics 1 UNIT WISE Important Questions and Answers

ENGINEERING MATHEMATICS 1 UNIT WISE Important Questions and Answers :-

UNIT I : MATRICES

1. Eigenvalues and Eigenvectors
2. Cayley-Hamilton Theorem
3. Reduction of a quadratic form to canonical form

UNIT II : SEQUENCES AND SERIES

1. Tests of convergence
2. Integral test and D’Alembert’s ratio test
3. Leibnitz’s test
4. Absolute and conditional convergence

UNIT III : APPLICATIONS OF DIFFERENTIAL CALCULUS

1. Centre and radius of curvature
2. Evolutes
3. Envelopes

UNIT IV : DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES

1. Jacobian and properties
2. Taylor’s series for functions of two variables
3. Maxima and minima of functions of two variables
4. Lagrange’s method of undetermined multipliers

UNIT V : MULTIPLE INTEGRALS

1. Change of variables in double integrals
2. Triple integrals – Volume of Solids.
3. Area enclosed by plane curves

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