UNIFIED MATHEMATICS - CALCULUS & DIFFERENTIAL EQUATIONS B.SC Ist YEAR IInd PAPER (Paperback, B.R. THAKUR, HARI KISHAN)

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Contents Chapter Page No. Calculus and Diffeential Equations Unit-I 0.Historical Background....i-xvi 1.Successive Differentiation and Leibnitz’s Theorem....1-33 2.Maclaurin and Taylor Series Expansions....34–51 3.Partial Differentiation....52-74 4.Euler’s Theorem on Homogeneous Functions....75-98 5.Asymptotes....99-127 Unit-II 6.Curvature....128-162 7.Tests for Concavity and Convexity, Points of Inflexion....163-173 8.Mulitiple Points, Tracing of Curves in Cartesian and Polar Coordinates....174-205 Unit-III 9.Integration of Irrational, Algebraic and Transcendental Functions....206-276 10.Definite Integrals....277-302 11.Reduction Formulae....303-339 12.Double and Triple Integrals, Dirichlet’s Integrals....340-376 13.Quadrature....377-407 14.Rectification....408-419 Unit-IV 15.Linear Differential Equations and Equations Reducible to the Linear Form, Exact Differential Equations....420-467 16.First Order and Higher Degree Equations Solvable for x, y and p, Clairaut's Form and Singular Solutions....468-500 17.Geometrical Meaning of a Differential Equation and Orthogonal Trajectories....501-516 Unit-V 18.Linear Differential Equations With Constant Coefficients....517-573 19.Homogeneous Linear Ordinary Differential Equations....574-590 20.Linear Differential Equations of Second Order....591-632

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