Ramesh Publishing House Mathematics for Higher Level Competitive ...

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Mathematics for Higher Level Competitive Exams

Ramesh Publishing House

2024 January

IIT-JAM, GATE

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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