The present book has been written to meet the requirements of students, who wish to seek admission through entrance examination to various M.C.A. Institutes like J.N.U., D.U., Roorkee, Jadavpur (W.B.), Pune, V.H.U., UPMCAT, BITS (Ranchi) and many other prestigious institutions/universities.
The purpose of this book is to make the students aware of what they are expected to know and what type of questions there are to come across, while taking the examination.
In order to facilitate the study of a number of topics in details, each has been explained thoroughly with an adequate number of objective questions. Solutions of these questions have been provided at the end of the respective chapters.
There are certain chapters which students should take care of while going through. They are Permutation and Combination, Binomial Theorem and Probability. This book will help you in tackling the mathematics paper section of any examination with ease.
Table of Contents:
Set Theory; Relation and Functions; Number Theory; Complex Number; Theory of Equation; Progression; Exponential and Logarithmic Series; Permutation and Combination; Binomial Theorem; Inequality; Group; Ring and Field; Vector Space; Matrices; Determinant; Limit, Continuity and Differentiability; Rolle’s Mean Value, Taylor's and Maclaurin's Theorem; Tangents and Normals; Maxima and Minima; Curvature and Asymptotes; Singular Points; Partial Differentiation; Indefinite Integral; Definite Integrals; Rectification, Quadrature, Volume and Surfaces; Multiple Integration; Differential Equation; Differential Equation of First Order but not of First Degree; Linear Differential Equations with Constant Co-efficient; Convergence of Series and Sequence; Preliminary Concepts in Two Dimensional Geometry; Pair of Straight Lines; The Circle; The Parabola; The Ellipse; The Hyperbola; Preliminary Concepts in 3D; The Plane ; The Straight Line; The Sphere; The Cone; The Cylinder; Trigonometry; Vector Algebra; Measures of Central Tendency and Dispersion; Curve Fitting and Method of Least Square; Correlation and Regression; Probability; Mathematical Expectation and Generating Functions; Binomial, Poisson and Normal Distribution; Numerical Methods.
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