[PDF] MA3151 Matrices and Calculus (MAC) Books, Lecture Notes, 2 marks with answers, Important Part B 16 Marks Questions, Question Bank & Syllabus

Download MA3151 Matrices and Calculus (MAC) Books Lecture Notes Syllabus Part-A 2 marks with answers MA3151 Matrices and Calculus Important Part-B 16 marks Questions, PDF Books, Question Bank with answers Key, MA3151 Matrices and Calculus Syllabus & Anna University MA3151 Matrices and Calculus Question Papers Collection.

Download link is provided for Students to download the Anna University MA3151 Matrices and Calculus Syllabus Question Bank Lecture Notes Part A 2 marks with answers & Part B 16 marks Question Bank with answer, Anna University Question Paper Collection, All the materials are listed below for the students to make use of it and get good (maximum) marks with our study materials.

“MA3151 Matrices and Calculus Notes, Lecture Notes, Previous Years Question Papers “

“MA3151 Matrices and Calculus Important 16 marks Questions with Answers”

“MA3151 Matrices and Calculus Important 2 marks & 16 marks Questions with Answers”

“MA3151 Matrices and Calculus Important Part A & Part B Questions”

“MA3151 Matrices and Calculus Syllabus, Local Author Books, Question Banks”

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MA3151 Matrices and Calculus (MAC) Notes Part A & Part B Important Questions with AnswersMA3151 Matrices and Calculus

MA3151 Matrices and Calculus – Study Materials – Details

Semester 01
Department Common to All Departments 
Year First Year (I Year)
Regulation R2021
Subject Code / Name MA3151 Matrices and Calculus (MAC)
Content Syllabus, Question Banks, Local Authors Books, Lecture Notes, Important Part A 2 Marks Questions and Important Part B 16 Mark Questions, Previous Years Anna University Question Papers Collections.
Material Format PDF (Free Download)

MA3151 Matrices and Calculus (MAC) “R2021 – 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.

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 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.

 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 & 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.

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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.

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Anna University MA3151 Matrices and Calculus Books Question Banks Lecture Notes Syllabus MA3151 Matrices and Calculus Part A 2 Marks with Answers Part – B 16 Marks Questions with Answers & Anna University MA3151 Matrices and Calculus Question Paper Collection and Local Author Books.

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Kindly Note : There are different collection of MA3151 Matrices and Calculus study materials are listed below. Based on your requirement choose the suitable material for your preparation.

Lecture Notes

MA3151 Matrices and Calculus Lecture Notes

  • MA3151 Lecture Notes Collection 01 – DOWNLOAD

  • MA3151 Lecture Notes Collection 02 – DOWNLOAD

  • MA3151 Lecture Notes Collection 03 – DOWNLOAD

  • MA3151 Lecture Notes Collection 04 – DOWNLOAD

  • MA3151 Lecture Notes Collection 05 – DOWNLOAD

  • MA3151 Lecture Notes Collection 06 – DOWNLOAD

Part A – 2 Marks

MA3151 Matrices and Calculus Unit wise 2 marks Question with Answers

  • MA3151 2 Marks Collection 01 – DOWNLOAD

  • MA3151 2 Marks Collection 02 – DOWNLOAD

  • MA3151 2 Marks Collection 03 – DOWNLOAD

  • MA3151 Important Question Collection 04 – DOWNLOAD

  • MA3151 Important Question Collection 05 – DOWNLOAD

  • MA3151 Important Question Collection 06 – DOWNLOAD

Part B – 16 Marks & Student Notes

MA3151 Matrices and Calculus Unit wise 2 Marks, 16 Marks Questions with Answers

  • MA3151 Student Notes Collection 01 – DOWNLOAD

  • MA3151 Student Notes Collection 02 – DOWNLOAD

  • MA3151 Student Notes Collection 03 – DOWNLOAD

  • MA3151 Student Notes Collection 04 – DOWNLOAD

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  • MA3151 Student Notes Collection 06 – DOWNLOAD

Important Questions & Questions Bank

MA3151 Matrices and Calculus Important Questions & Question Bank Collection

  • MA3151 Questions Bank Collection 01 – DOWNLOAD

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  • MA3151 Questions Bank Collection 05 – DOWNLOAD

  • MA3151 Questions Bank Collection 06 – DOWNLOAD

Anna University Question Paper Collection

MA3151 Matrices and Calculus Anna University Question Paper Collection

  • MA3151 Anna University Question Papers Collection 01 – DOWNLOAD

  • MA3151 Anna University Question Papers Collection 02 – DOWNLOAD

  • MA3151 Important Formula – DOWNLOAD


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