Anna University First semester M1 Model Question Paper Download Click here
MA2111 MATHEMATICS – I M1 SYLLABUS|ANNA UNIVERSITY FIRST SEMESTER SYLLABUS
BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER BE/BTECH SYLLABUS,Question Bank IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011-2012(ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009.
Characteristic equation – Eigen values and eigen vectors of a real matrix – Properties –
Cayley-Hamilton theorem (excluding proof) – Orthogonal transformation of a symmetric matrix to diagonal form – Quadratic form – Reduction of quadratic form to canonical form by orthogonal transformation.
UNIT II THREE DIMENSIONAL ANALYTICAL GEOMETRY 12
Equation of a sphere – Plane section of a sphere – Tangent Plane – Equation of a cone
– Right circular cone – Equation of a cylinder – Right circular cylinder.
UNIT III DIFFERENTIAL CALCULUS 12
Curvature in Cartesian co-ordinates – Centre and radius of curvature – Circle of
curvature – Evolutes – Envelopes – Evolute as envelope of normals.
UNIT IV FUNCTIONS OF SEVERAL VARIABLES 12
Partial derivatives – Euler’s theorem for homogenous functions – Total derivatives –
Differentiation of implicit functions – Jacobians – Taylor’s expansion – Maxima and
Minima – Method of Lagrangian multipliers.
UNIT V MULTIPLE INTEGRALS 12
Double integration – Cartesian and polar coordinates – Change of order of integration – Change of variables between Cartesian and polar coordinates – Triple integration in
Cartesian co-ordinates – Area as double integral – Volume as triple integral
TOTAL: 60 PERIODS
TEXT BOOK:
1. Bali N. P and Manish Goyal, “Text book of Engineering Mathematics”, Third edition, Laxmi Publications(p) Ltd.,(2008).
2. Grewal. B.S, “Higher Engineering Mathematics”, 40th
Edition, Khanna Publications,Delhi, (2007).
REFERENCES:
1. Ramana B.V, “Higher Engineering Mathematics”, Tata McGraw Hill Publishing
Company, New Delhi, (2007).
2. Glyn James, “Advanced Engineering Mathematics”, 7th Edition, Pearson Education,(2007).
3. Jain R.K and Iyengar S.R.K,” Advanced Engineering Mathematics”,3rd Edition, Narosa Publishing House Pvt. Ltd., (2007).
MA2111 MATHEMATICS – I M1 SYLLABUS|ANNA UNIVERSITY FIRST SEMESTER SYLLABUS
BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER BE/BTECH SYLLABUS,Question Bank IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011-2012(ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009.
MA2111 MATHEMATICS – I L T P C 3 1 0 4
UNIT I MATRICES 12Characteristic equation – Eigen values and eigen vectors of a real matrix – Properties –
Cayley-Hamilton theorem (excluding proof) – Orthogonal transformation of a symmetric matrix to diagonal form – Quadratic form – Reduction of quadratic form to canonical form by orthogonal transformation.
UNIT II THREE DIMENSIONAL ANALYTICAL GEOMETRY 12
Equation of a sphere – Plane section of a sphere – Tangent Plane – Equation of a cone
– Right circular cone – Equation of a cylinder – Right circular cylinder.
UNIT III DIFFERENTIAL CALCULUS 12
Curvature in Cartesian co-ordinates – Centre and radius of curvature – Circle of
curvature – Evolutes – Envelopes – Evolute as envelope of normals.
UNIT IV FUNCTIONS OF SEVERAL VARIABLES 12
Partial derivatives – Euler’s theorem for homogenous functions – Total derivatives –
Differentiation of implicit functions – Jacobians – Taylor’s expansion – Maxima and
Minima – Method of Lagrangian multipliers.
UNIT V MULTIPLE INTEGRALS 12
Double integration – Cartesian and polar coordinates – Change of order of integration – Change of variables between Cartesian and polar coordinates – Triple integration in
Cartesian co-ordinates – Area as double integral – Volume as triple integral
TOTAL: 60 PERIODS
TEXT BOOK:
1. Bali N. P and Manish Goyal, “Text book of Engineering Mathematics”, Third edition, Laxmi Publications(p) Ltd.,(2008).
2. Grewal. B.S, “Higher Engineering Mathematics”, 40th
Edition, Khanna Publications,Delhi, (2007).
REFERENCES:
1. Ramana B.V, “Higher Engineering Mathematics”, Tata McGraw Hill Publishing
Company, New Delhi, (2007).
2. Glyn James, “Advanced Engineering Mathematics”, 7th Edition, Pearson Education,(2007).
3. Jain R.K and Iyengar S.R.K,” Advanced Engineering Mathematics”,3rd Edition, Narosa Publishing House Pvt. Ltd., (2007).
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