MA3151: Matrices and Calculus Syllabus for Pharmaceutical Technology 1st Sem 2021 Regulation Anna University

Matrices and Calculus detailed syllabus for Pharmaceutical Technology (Pharmaceutical Technology) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the Pharmaceutical Technology students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.

For Pharmaceutical Technology 1st Sem scheme and its subjects, do visit Pharmaceutical Technology 1st Sem 2021 regulation scheme. The detailed syllabus of matrices and calculus is as follows.

Course Objective:

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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

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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

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Unit V

MULTIPLE INTEGRALS
Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – T riple integrals – Volume of solids – Change of variables in double and triple integrals – Applications : Moments and centres of mass, moment of inertia.

Course Outcome:

For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
.

Text Books:

1. Kreyszig.E, Advanced Engineering Mathematics, John Wiley and Sons, 10th Edition, New Delhi, 2016.
2. Grewal.B.S., Higher Engineering Mathematics, Khanna Publishers, New Delhi, 44th Edition, 2018.
3. James Stewart, Calculus : Early Transcendentals, Cengage Learning, 8th Edition, New Delhi, 2015. [For Units II and IV – Sections 1.1, 2.2, 2.3, 2.5, 2.7 (Tangents problems only), 2.8, 3.1 to 3.6, 3.11, 4.1, 4.3, 5.1 (Area problems only), 5.2, 5.3, 5.4 (excluding net change theorem), 5.5, 7.1 – 7.4 and 7.8 ].

References:

1. Anton. H, Bivens. I and Davis. S, Calculus , Wiley, 10th Edition, 2016
2. Bali. N., Goyal. M. and Watkins. C., Advanced Engineering Mathematics, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.
3. Jain. R.K. and Iyengar. S.R.K., Advanced Engineering Mathematics, Narosa Publications, New Delhi, 5th Edition, 2016.
4. Narayanan. S. and Manicavachagom Pillai. T. K., Calculus Volume I and II, S. Viswanathan Publishers Pvt. Ltd., Chennai, 2009.
5. Ramana. B.V., Higher Engineering Mathematics, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.
6. Srimantha Pal and Bhunia. S.C, Engineering Mathematics Oxford University Press, 2015.
7. Thomas. G. B., Hass. J, and Weir. M.D, Thomas Calculus , 14th Edition, Pearson India, 2018.

For detailed syllabus of all other subjects of Pharmaceutical Technology, 2021 regulation curriculum do visit Pharmaceutical Technology 1st Sem subject syllabuses for 2021 regulation.

For all Pharmaceutical Technology results, visit Anna University Pharmaceutical Technology all semester results direct link.