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Re: Punjabi University Patiala Syllabus BA 1st Year plz send me syllabus B.A Part 1 for subjects eng, punjabi, hindi(elective), history, religion. plz send syllabus.

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Re: Punjabi University Patiala Syllabus BA 1st Year B.A I MATHEMATICS (Annual) For Session 2013 14, 201415 and 2015  16 PAPERI: DIFFERENTIAL EQUATIONS Maximum Marks: 100 Time allowed: 3 Hrs. Lectures to be delivered: 5 periods (of 45 minutes duration) per week Pass Marks: 35% Instructions for papersetters The question paper will consist of five sections A, B, C, D and E. Sections A, B, C and D will have two questions from the respective sections of the syllabus. Section E will have only one question, which will consist of 810 objective/very short answer type parts covering the whole syllabus. All the questions from sections A, B, C, D and E will carry equal marks. Instructions for candidates Candidates are required to attempt one question each from sections A, B, C and D of the question paper and the entire section E. All the questions carry equal marks. Use of scientific nonprogrammable calculator is allowed. Section  A First order differential equations : Order and degree of a differential equation, separable differential equations, Homogeneous differential equations, equations reducible to Homogenous differential equations Exact differential equations. Linear differential equations and equations reducible to linear differential equations. Higher order differential equations : Solution of Linear homogeneous and nonhomogeneous differential equations of higher order with constant coefficients and with variable coefficients. Wronskian, method of Variation of Parameters, method of undetermined Coefficients. Section  B Differential operator method. Linear nonhomogeneous differential equations with variable coefficients, Euler's Cauchy method. Series solution of Differential equation : Regular point, ordiary point, Power Series method, forbinious method, Bessel, Legendre and hypergeometric equation. Bessel, Legendre and hypergeometric functions and their properties. Convergence, recurrence relations, orthogonality, Rodrigue’s formula. Section  C Partial differential equations : Partial differential equation of first order, Lagrange’s solution, some special types of equation which can be solved easily by methods other than general method, Charpit’s general method of solution. Partial differential equations of second and higher order : Classification of linear partial differential equations of second order, Solution in series of some Standard differential equations. Section – D Homogeneous and nonhomogeneous partial differential equations with constant coefficients. One dimention Wave and Heat Equation. Two dimentional Laplace equation by Separation of variable method and D’ Alembert’s solution of wave equation. BOOKS RECOMMENDED 1. H.T.H. Piaggio : An Elementry Treatise on Differential equations, Barman Press. 2. R.K.Jain and S.R.K.Iyengar: Advanced Engineering Mathematics,Narosa Publishing House. 3. Zafar Ahsan: Differential Equations and Their Applications, PrenticeHall of India Pvt. Ltd. New DelhiSecond edition. 4. I. N. Sneddon : Elements of Partial Differential Equations, Mc Graw Hill Book Co. 5 Rai Singhania : Ordinary and Partial Differential Equations” , S.Chand &Company,New Delhi B.A I MATHEMATICS (Annual) For Session 2013 14, 201415 and 2015  16 PAPERII: ALGEBRA and CALCULUS Maximum Marks: 100 Time allowed: 3 Hrs. Lectures to be delivered: 5 periods (of 45 minutes duration) per week Pass Marks: 35% Instructions for papersetters The question paper will consist of five sections A, B, C, D and E. Sections A, B, C and D will have two questions from the respective sections of the syllabus. Section E will have only one question, which will consist of 810 objective/very short answer type parts covering the whole syllabus. All the questions from sections A, B, C, D and E will carry equal marks. Instructions for candidates Candidates are required to attempt one question each from sections A, B, C and D of the question paper and the entire section E. All the questions carry equal marks. Use of scientific nonprogrammable calculator is allowed. SectionA Successive differentiation Asymptotes, Multiple points, Tests for concavity and convexity, points of inflexion, Tracing of curves in Cartesian, parametric and polar forms. Curvature, radius of curvature, centre of curvature. SectionB Integration of hyperbolic and inverse hyperbolic functions, Reduction Formulae, application of definite integral to find quadrature, length of an arc, Improper integrals and their convergence, Comparison tests, Absolute and conditional convergence, Abel’s and Dirichlet’s tests. Frullani integral. Integral as a function of a parameter. Beta – Gamma Functions and their convergence. SectionC Hermitian, SkewHermitian, Orthogonal and Unitary matrices, .Elementary operation on matrices. Inverse of a matrix using Gauss Jordan Method. Linear independence of row and column vectors, Row rank, Colum rank and their equivalence. Eigen values, Eigen vectors and the characteristic equation of a matrix, Properties of eigen values for special type of matrices, Diagonalization, CayleyHamilton theorem. Consistency of a system of linear equations. SectionD Relations between roots and coefficients of a general polynomial, Tranformation of equation. Descartes’ rule of signs, Solution of cubic equations, Biquadratic equations and their solution. De Moivre's theorem and its application, Direct and inverse circular functions, hyperbolic and logarithmic functions. Summation of series. Books Recommended: 1. Differential calculus, Gorakh Prasad. 2. Mathematical Analysis, Malik and Arora. 3. Linear Algebra by Scham outline Series. 4. Trigonometry by S.L. Loney. Macmilan and Company London. 5. Calculus and Analytic Geometry, Thomas and Finney, Ninth Edition. B.AI MATHEMATICS (Annual) For Session 2013 14, 201415 and 2015  16 PAPERIII: ANALYTIC GEOMETRY Maximum Marks: 100 Time allowed: 3 Hrs. Lectures to be delivered: 5 periods (of 45 minutes duration) per week Pass Marks: 35% Instructions for papersetters The question paper will consist of five sections A, B, C, D and E. Sections A, B, C and D will have two questions from the respective sections of the syllabus. Section E will have only one question, which will consist of 810 objective/very short answer type parts covering the whole syllabus. All the questions from sections A, B, C, D and E will carry equal marks. Instructions for candidates Candidates are required to attempt one question each from sections A, B, C and D of the question paper and the entire section E. All the questions carry equal marks. Use of scientific nonprogrammable calculator is allowed. SectionA Transformation of axis, shifting of origin, rotation of axes, reduction of second degree equation into standard form by transformation of coordinates, invariants and identification of curves represented by second degree equation. Parabola: Pole and polar, pair of tangents from a point, chord of contact, equation of chord in terms of midpoints and diameter of conic, Subtangent and Subnormal and its geometrical properties. SectionB Ellipse: Properties of ellipse, parametric representation of ellipse, tangents, normals, equation of chord joining two points on ellipse. Director circle of ellipse, chord of contact, conjugate lines and conjugate diameter, Conormal Points and its geometrical properties. Hyperbola: Properties of hyperbola, fundamental rectangle, parametric representation of hyperbola, asymptotes of hyperbola, Conjugate hyperbola, rectangular hyperbola, tangents and normals. Section – C The plane: General form, Normal form, Intercept form, Reduction of the general form to normal form , Equation of plane through three points, Angle between two planes, Parallel planes, Perpendicular distance of a point from the planes, Pair of the planes, Area of a triangle and Volume of a tetrahedron. The straight line: Equation of a line in general form, Symmetric form, two point form, Reduction of the general equation to the symmetrical form, Straight line and the planes, Conditions of parallelism and perpendicularity of a line and a plane, Plane through a given line, Perpendicular distance formula for the line, Projection of a line on a given plane containing them, Condition of intersection of two lines, Shortest distance between two lines, intersection of three planes. Section – D Sphere: General equation of a sphere, Plane section of a sphere, Intersection of two spheres, Sphere through a given circle, Intersection of a straight line and a sphere, Equation of a tangent plane to sphere, Condition of tangency. Plane of contact, Orthogonal Spheres, Angle of intersection of two spheres, Length of tangent, Radical plane, Coaxial system of spheres. Cone: Equation of a cone whose vertex is at origin, Equation of a cone with a given vertex and a given conic as base, Condition that general equation of second degree represent a cone, Equation of a tangent plane, Condition of tangency of a plane and a cone, Reciprocal cone, Right circular cone. Text Books 1. S.L. Loney : The Elements of Coordinate Geometry, Macmillan and Company, London. 2. Gorakh Prasad and H.C.Gupta:Text Book on Coordinate Geometry, Pothishala Pvt. Ltd., Allahabad. 3. P.K. Jain and Khalil Ahmad:A Text Book of Analytical Geometry of two Dimensions, Wiley Eastern Ltd. 1994. 4. N.Saran and R.S. Gupta, : Analytical Geometry of Three Dimensions,Pothishala Pvt. Ltd. Allahabad. RECOMMENDED READINGS 1. R. J.T. Bell : Elementary Treatise on Coordinate Geometry of Three Dimesions, Macmillan India Ltd., 1994 
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Re: Punjabi University Patiala Syllabus BA 1st Year
I have applied for the Punjabi university Patiala for BA first year. And here I am finding the syllabus of the BA first year. Can you please help me in the finding the syllabus and also tell me that can I download the syllabus freeiy

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Re: Punjabi University Patiala Syllabus BA 1st Year
I have applied for the Punjabi university Patiala for BA first year. And here I am finding the syllabus of the BA first year. Can you please help me in the finding the syllabus and also tell me that can I download the syllabus freely?
