MA6151 Mathematics - I Question Papers Collection I bank I Notes Syllabus 2 marks with answers Part A Question Bank with answers Key, Important Part B Questions
Anna University MA6151 Mathematics - I, Question bank , Notes Syllabus 2 marks with answers Part A Question Bank with answers Key, Important Part B Questions & MA6151 Mathematics - I ANNA UNIVERSITY Question Papers Collection
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Anna University First Semester ( 1st year ) Mathematics - I Question Papers Collection (Regulation 2013)
1st Semester
Semester : 01
Department : Civil
Year : FIRST Year (I Year)
Regulation : 2013
Subject Code : MA6151
Civildatas.blogspot.in page contains all the previous question papers of Anna university first semester Regulation 2013 question papers. It includes English-1 question papers,Maths-1 question papers,Physics-1 question papers,Physics-1 question papers, computer programming-1 question papers, Engineering graphics previous year question papers for Anna University ECE Department, EEE department, IT department, Mech department, CSE department, CIVIL department, EIE department etc.
MA6151 MATHEMATICS – I
UNIT I MATRICES
Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of eigenvalues and eigenvectors – Statement and applications of Cayley-Hamilton Theorem – Diagonalization of matrices – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.
UNIT II SEQUENCES AND SERIES
Sequences: Definition and examples – Series: Types and Convergence – Series of positive terms – Tests of convergence: Comparison test, Integral test and D‟Alembert‟s ratio test – Alternating series – Leibnitz‟s test – Series of positive and negative terms – Absolute and conditional convergence.
UNIT III APPLICATIONS OF DIFFERENTIAL CALCULUS
Curvature in Cartesian co-ordinates – Centre and radius of curvature – Circle of curvature – Evolutes – Envelopes - Evolute as envelope of normals.
UNIT IV DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES
Limits and Continuity – Partial derivatives – Total derivative – Differentiation of implicit functions – Jacobian and properties – Taylor‟s series for functions of two variables – Maxima and minima of functions of two variables – Lagrange‟s method of undetermined multipliers.
UNIT V MULTIPLE INTEGRALS
Double integrals in cartesian and polar coordinates – Change of order of integration – Area enclosed by plane curves – Change of variables in double integrals – Area of a curved surface - Triple integrals – Volume of Solids.
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GE6152 Engineering Graphics - Previous Year Question Papers - Regulation 2013
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MA6151 Mathematics - I Question Papers Collection I bank I Notes Syllabus 2 marks with answers Part A Question Bank with answers Key, Important Part B Questions
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