Role of Women in Dynac Society

Topics: Association of Commonwealth Universities, Derivative, Integral Pages: 5 (930 words) Published: June 22, 2013
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MCA Entrance Exams Syllabus !
The Universities / Institutes mainly takes the following syllabus : Mathematics
Sets, Relations, Functions, Elementary Number Theory Including the relation of congruence Modulo, Simultaneous linear / quadratic equations, Indices, Logarithms, Arithmetic, Geometric and Harmonic progressions, Binomial theorem, Surds, Complex numbers, Demoivre’s theorem and its simple application Matrics & Determinants

Matrix operations, Definition and properties of determinats, Cofactors, Adjoint, Elementry Transformations, Rank and inverse of a Matrix, Matrix Polynomial, Characteristic Equations,Eigen Values, Latent Vectors, Caylay Hamilton theorem, Linear system of Equations. Theory Of Equations

Polynomials and their charcteristics, Roots of an equation, Relations between Roots and Coefficients,Transformation of Equations, Symmetric function etc. Abstracy Algebra
Groups, Cyclic groups, Subgroups, Normal Groups, Lagrange’s theorem, Homomorphism, Isomorphism, Ring, Field, Vector Spaces, Linear Independence of Vectors, Basis, Dimension, Linear Transformation and diagonalisation of Matrices etc. Vector Algebra

Scalar and Vector quantities their representation, Addition and subtraction of vectors, Scalar and vector product of two vectors, Scalar triple product, Expansion formula of Vector triple product. Trigonometry

Simple identities, trignometric equations, Properties of triangles, Solution of triangle, Height and distance, Inverse function. Calculas & Real Analysis
Real number system, Concept of neighborhood and limit points, Continuity and limits, Indeterminate forms, properties of continuous functions in closed interval, Differentiation, Successive Differentiation, Maxima Minima, Roll's theorem, Mean value theorems, Maclaurine's series and Taylor's series, Integration, definite integral, Evaluation of length, Area and volume of curves, Curvature, Asymptotes, Tracing of curves, Partial Differentiation, functions of two variables, definition of partial derivates, Total differentiation, Sequence, Sequence of real numbers, Convergent Sequences, Cauchy Sequences, Monotonic Sequences, Infinite series of positive terms and their different test of convergence,Alternating infinite series and Leibnitz's test of convergence, Absolute convergence, Conditional convergence, Uniform Convergence, Multiple integration, Change of order and change of variables, Application to evaluation of Area, Surface and volume. Differential Equations

Differential equations of first order and their solutions, Linear differential equations with constant coefficients, Homogenous linear differential equations, Orthogonal Trajectories, Singular solutions. Coordinate Geometry

2-d : Pair of straight lines, Transformation of coordinate system, Circles, Parabola, Ellipse and Hyperbola, Pair of tangents from a point, Chord of contact, Equation of chord in terms of middle point, Diameter of Conic, Conjugate diameter, Classification of curves of second degree. 3-d : Introduction to lines and planes, Spheres, Quadric Cones and Cylinders. Linear Programming

Linear inequalities with two variables, Mathematical formulation of L.P.P, Basic concepts of graphical and Simplex method. Numerical Analysis
Interpolation, Extrapolation, Quadrature formula, Simpson's 1/3rd rule, Trapezoidal rule, Solution of non-linear equations using iterative methods, Numerical differentiation. Statistics
Classifications of Data and frequency distribution, Calculation of measures of...
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