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WRITTEN ACCORDING TO LATEST PATTERN OF THE EXAMINATIONS ALL OVER INDIA. ALL SECTIONS ARE THOROUGHLY EXPLAINED WITH AMPLE SHORT . MCQ QUESTIONS WITH THEIR ANSWERS AND EXPLANATIONS AS WELL. 5000+ MCQ ARE SOLVED WITH EXPLANATIONS 20 MODEL PAPERS ALL SOLVED ARE ADDED. SELECTIVE PREVIOUS YEAR PAPERS ARE SOLVED SUGGESTION PAPERS ALSO ADDED TOPICS COVERED ARE AS FOLLOWS. Mathematics BOOK I Sequences and Series: Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers. Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle's theorem, mean value theorems, Taylor's theorem, indeterminate forms. BOOK II Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes. Matrices: Rank, inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Statistics BOOK III Probability: Axiomatic definition of probability and properties, conditional probability, multiplication rule. Random Variables: Probability mass function, probability density function and cumulative distribution functions. BOOK IV Joint Distributions: Joint, marginal and conditional distributions. Sampling distributions: Chi-square, t and F distributions, and their properties