Transcription of RECOMMENDED RECOMMENDED UNIFIED …
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( i ) RECOMMENDED RECOMMENDED RECOMMENDED RECOMMENDED UNIFIED SYLLABUS OFUNIFIED SYLLABUS OFUNIFIED SYLLABUS OFUNIFIED SYLLABUS OF MATHEMATICSMATHEMATICSMATHEMATICSMATHEMA TICS For ClassesFor ClassesFor ClassesFor Classes ((((FFFFrom 2011rom 2011rom 2011rom 2011----12 onward12 onward12 onward12 onwardssss) ) ) ) IIII Paper I : ALGEBRA and TRIGONOMETRYP aper I : ALGEBRA and TRIGONOMETRYP aper I : ALGEBRA and TRIGONOMETRYP aper I : ALGEBRA and TRIGONOMETRY : 33/65 AlgebraAlgebraAlgebraAlgebra Unit 1. Sequence and its convergence (basic idea), Convergence of infinite series, Comparison test, ratio test, root test, Raabe s test, Logarithmic ratio test, Cauchy s condensation test, DeMorgan and Bertrand test and higher logarithmic ratio test.
( iii ) Unit Unit Unit 2222. .. . Differential equations of the first order but not of the first degree, Clairaut’s equations and singular solutions, Orthogonal trajectories, Simultaneous linear differential
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Applications of Second-Order Differential Equations, Applications of Second-Order Differential Equations Second-order linear differential equations, ELEMENTARY DIFFERENTIAL EQUATIONS, Order, Linear Second Order Equations, Hilbert METHODS OF, Equations, Linear Differential Equations, Second Order, Second-Order Linear Differential Equations, Second, Order linear differential, Differential Equations Nonlinear Systems of, Differential Equations, Differential Equations I, DIFFERENTIAL EQUATIONS, Monotonic, Inrush Current Limited Start, Linear, INTRODUCTION TO THE SPECIAL FUNCTIONS, INTRODUCTION TO THE SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS