Grewal.B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 44th Edition, 2018. Kreyszig.E, “Advanced Engineering Mathematics”, John Wiley and Sons, 10th Edition, New Delhi, 2016. TEXT BOOKS: MA3151 Syllabus Matrix and Calculusġ. □ Apply multiple integral ideas in solving areas, volumes and other practical problems. □ Apply different methods of integration in solving practical problems. □ Able to use differential calculus ideas on several variable functions. □ Apply differential calculus tools in solving various application problems. UNIT – IV INTEGRAL CALCULUS MA3151 Syllabus Matrix and Calculusĭefinite 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.ĭouble 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.Īt the end of the course the students will be able to □ Use the matrix algebra methods for solving practical problems. 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 – III FUNCTIONS OF SEVERAL VARIABLES MA3151 Syllabus Matrix and Calculus UNIT – II DIFFERENTIAL CALCULUS MA3151 Syllabus 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 – 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. □ To acquaint the student with mathematical tools needed in evaluating multiple integrals and their applications. □ To make the students understand various techniques of integration. This is needed in many branches of engineering. □ To familiarize the student with functions of several variables. □ To familiarize the students with differential calculus. Matrix and Calculus Syllabus MA3151 pdf download free.ĬOURSE OBJECTIVES: □ To develop the use of matrix algebra techniques that is needed by engineers for practical applications. MA3151 Syllabus Matrix and Calculus Regulation 2021 Anna University free download.
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