[PDF] MA3151 Matrices and Calculus Notes, Book, Question Papers, Important Questions & Syllabus

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MA3151 Matrices and Calculus

Download MA3151 Matrices and Calculus Notes, Book, Question Papers, Important Questions & Syllabus.

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

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

“MA3151 Matrices and Calculus Important 13 marks Questions with Answers”

“MA3151 Matrices and Calculus Important 15 marks Questions with Answers”

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

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

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

“MA3151 Matrices and Calculus Notes, Book, Question Papers, Important Questions & Syllabus”

 Semester : 01 Department : Common to All Departments Year : First Year Regulation : R2021 Subject Code / Name : MA3151 Matrices and Calculus Content : Syllabus, Lecture Notes, Important Part-A 2 Marks Questions and Important Part-B 16 Mark Questions, Previous Years Question Papers Collections.

MA3151 Matrices and Calculus Syllabus

UNIT I MATRICES 9+3
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 9+3
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 9+3
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 9+3
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 9+3
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.