MA3151 Question Bank Matrix and Calculus
MA3151 Question Bank Matrix and Calculus Regulation 2021 Anna University free download. Matrix and Calculus Question Bank MA3151 pdf download free.
UNIT – I MATRICES
Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigenvalues and Eigenvectors – Cayley – Hamilton theorem – Diagonalization of matrices by orthogonal
transformation – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms – Applications: Stretching of an elastic membrane.
UNIT – II DIFFERENTIAL CALCULUS MA3151 Question Bank Matrix and Calculus
Representation of functions – Limit of a function – Continuity – Derivatives – Differentiation rules (sum, product, quotient, chain rules) – Implicit differentiation – Logarithmic differentiation – Applications :
Maxima and Minima of functions of one variable.
UNIT – III FUNCTIONS OF SEVERAL VARIABLES MA3151 Question Bank Matrix and Calculus
Partial differentiation – Homogeneous functions and Euler’s theorem – Total derivative – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylor’s series for functions of
two variables – Applications : Maxima and minima of functions of two variables and Lagrange’s method of undetermined multipliers.
UNIT – IV INTEGRAL CALCULUS MA3151 Question Bank Matrix and Calculus
Definite and Indefinite integrals – Substitution rule – Techniques of Integration: Integration by parts, Trigonometric integrals, Trigonometric substitutions, Integration of rational functions by partial
fraction, Integration of irrational functions – Improper integrals – Applications : Hydrostatic force and pressure, moments and centres of mass.
UNIT – V MULTIPLE INTEGRALS
Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – Triple integrals – Volume of solids – Change of variables in double and triple integrals – Applications : Moments and centres of mass, moment of inertia.
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MA3151 Syllabus Matrix and Calculus
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MA3151 Important Questions Matrix and Calculus