MA3151 Matrices and Calculus Notes
Download MA3151 Matrices and Calculus Books, Lecture Notes, Part-A 2 marks with answers, Part-B 16 marks Questions, PDF Books. In this Notes Very Useful for First Year First Semester Students.
“MA3151 Matrices and Calculus Books”
“MA3151 Matrices and Calculus Lecture Notes”
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“MA3151 Matrices and Calculus Notes”
Subject Info:
| Semester | First Semester |
| Department | Common to All Departments |
| Year | First Year |
| Regulation | R 2021 |
| Subject Code / Name | MA3151 Matrices and Calculus |
| Content | Local Authors Books, Lecture Notes |
Syllabus:
MA3151 Matrices and Calculus
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
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
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
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.
MA3151 Matrices and Calculus Lecture Notes
MA3151 Lecture Notes Collection 01 – DOWNLOAD
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MA3151 Matrices and Calculus Unit wise 2 marks
MA3151 2 Marks Collection 01 – DOWNLOAD
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MA3151 Matrices and Calculus Question Papers
MA3151 Question Papers Collection 01 – DOWNLOAD
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MA3151 Matrices and Calculus Question Bank
MA3151 Questions Bank Collection 01 – DOWNLOAD
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MA3151 Questions Bank Collection 05 – DOWNLOAD