![]() ![]() 8th edition Bookplateleaf 0010 Boxid IA40398921 Camera USB PTP Class Camera Collection_set printdisabled External-identifier M.D, “Thomas Calculus “, 14th Edition, Pearson India, 2018.Access-restricted-item true Addeddate 09:43:21 Associated-names Frank, Barbara (Mathematician), author Stewart, James, 1941- Multivariable calculus. S.C, “Engineering Mathematics” Oxford University Press, 2015.ħ. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. S.R.K., “Advanced Engineering Mathematics”, Narosa Publications, New Delhi, 5th Edition, 2016.Ĥ. C., “Advanced Engineering Mathematics”, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.ģ. S, ” Calculus “, Wiley, 10th Edition, 2016Ģ. REFERENCES : MA3151 Syllabus Matrix and Calculusġ. James Stewart, “Calculus : Early Transcendentals”, Cengage Learning, 8th Edition, New Delhi, 2015. 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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