Mathematics Paper II Section-A_L 1_Modern Algebra_Introduction to Groups_Ratnakar Mathematics Paper II Section-A_L2_Modern Algebra_Types of Groups PYQs_Ratnakar Mathematics Paper II Section-A_L3_Modern Algebra_Groups Pertaining to Binary Operations_Ratnakar Mathematics Paper II Section-A_L4_Modern Algebra_Advances Problems on Groups_Ratnakar Mathematics Paper II Section-A_L5_Modern Algebra_Congruence_Ratnakar Mathematics Paper II Section-A_L6_Modern Algebra_Introduction to Sub Groups_Ratnakar Mathematics Paper II Section-A_L7_Modern Algebra_Necessary and Sufficient Conditions_Ratnakar Mathematics Paper II Section-A_L8_Modern Algebra_Problems on Sub Groups_Ratnakar Mathematics Paper II Section-A_L9_Modern Algebra_Cyclic Groups_Ratnakar Mathematics Paper II Section-A_L10_Modern Algebra_Permutation Group_Ratnakar Mathematics Paper II Section-A_L11_Modern Algebra_Homomorphism and Isomorphism of Groups_Ratnakar Mathematics Paper II Section-A_L12_Modern Algebra_Cayley's Theorm and Application_Ratnakar Mathematics Paper II Section-A_L13_Modern Algebra_Cosets of Groups and Subgroup_Ratnagar Mathematics Paper II Section-A_L14_Modern Algebra_ lagrange's theorem and applications_Ratnagar part 1 Mathematics Paper II Section-A_L14_Modern Algebra_ lagrange's theorm and applications_Ratnagar part 2 Mathematics Paper II Section-A_L14_Modern Algebra_ lagrange's theorm and applications_Ratnagar part 3 Mathematics Paper II Section-A_L15_Modern Algebra_Qoutient Groups_Ratnakar part 1 Mathematics Paper II Section-A_L15_Modern Algebra_Qoutient Groups Problems_Ratnakar part 2 Mathematics Paper II Section-A_L16_Modern Algebra_Homomophism Theorems_Ratnakar Mathematics Paper II Section-A_L17_Modern Algebra_Rings Theory introduction_Ratnakar Mathematics Paper II Section-A_L18_Modern Algebra_Rings Theory PROBLEM_Ratnakar part 1 Mathematics Paper II Section-A_L18_Modern Algebra_Rings Theory PROBLEM_Ratnakar part 2 Mathematics Paper II Section-A_L19_Modern Algebra_Field Theory_Ratnakar Mathematics Paper II Section-A_L20_Modern Algebra_Special Element In Ring_Ratnakar Mathematics Paper II Section-A_L21_Modern Algebra_Ideals_Ratnakar Mathematics Paper II Section-A_L22_Modern Algebra_Prime and Ideals_Ratnakar Mathematics Paper II Section-A_L23_Modern Algebra_Ideals Domain_Ratnakar Mathematics Paper II Section-A_L24_Modern Algebra_Prime and Maximal Ideals_Ratnakar Mathematics Paper II Section-A_L25_Modern Algebra_Euclidean Domain_Ratnakar Mathematics Paper II Section-A_L26_Modern Algebra_Polynomial Ring_Ratnakar Mathematics Paper II Section-A_L27_Modern Algebra_Unique Fatorization_Ratnakar Mathematics Paper II Section-A_L28_Linear Programming_Introduction _Ratnakar Mathematics Paper II Section-A_L29_Linear Programming_Convex set of LPP_Ratnakar Mathematics Paper II Section-A_L30_Linear Programming_Math Basic Solution of LPP_Ratnakar Mathematics Paper II Section-A_L31_Linear Programming_Math-Properties of Simplex Method_Ratnakar Mathematics Paper II Section-A_L32_Graphical Method of Solving an LPP_Ratnakar Mathematics Paper II Section-A_L33_Linear Programming_Simplex Method_Ratnakar Mathematics Paper II Section-A_L34_Linear Programming_Simpled Method_Ratnakar Mathematics Paper II Section-A_L35_Linear Programming_Concept of Duality_Ratnakar Mathematics Paper II Section-A_L36_Linear Programming_Transportation and Assignment Problem_Ratnakar Mathematics Paper II Section-A_L37_Real Analysis_Set Theory_Ratnakar Mathematics Paper II Section-A_L38_Real Analysis_Properties of Natural Number_Ratnakar Mathematics Paper II Section-A_L39_Real Analysis_Point Set Topology_Ratnakar Mathematics Paper II Section-A_L40_Real Analysis_Sequences_Ratnakar Mathematics Paper II Section-A_L41_Real Analysis_Series_Ratnakar Mathematics Paper II Section-A_L42_Real Analysis_Continuity_Ratnakar Mathematics Paper II Section-A_L43_Real Analysis_Differentiability_Ratnakar Mathematics Paper II Section-A_L44_Real Analysis_Limits_Ratnakar Mathematics Paper II Section-A_L45_Riemann Integral_Ratnakar Mathematics Paper II Section-A_L46_Real Analysis_Improper Intigral_Ratnakar Mathematics Paper II Section-A_L47_Real Analysis_Sequens of Functions_Ratnakar Mathematics Paper II Section-A_L48_Real Analysis_Uniform Convergence_Ratnakar Mathematics Paper II Section-A_L49_Complex Analysis_Cauchy-Riemann Equations_Ratnakar Mathematics Paper II Section-A_L50_Complex Analysis_Singular Points_Ratnakar Mathematics Paper II Section-A_L51_Complex Analysis_Cauchys-Intigral Formula_Ratnakar Mathematics Paper II Section-A_L52_Complex Analysis_Differentiability and Integrability for Sequences and Series of Functions_Ratnakar Mathematics Paper II Section-A_L53_Complex Analysis_Cauchy's Theorem_Ratnakar Mathematics Paper II Section-A_L54_Complex Analysis_Cauchy's Integral Formulas Power Series_Ratnakar Mathematics Paper II Section-A_L55_Complex Analysis_Representation of an Analytic Function, Power Series_Ratnakar Mathematics Paper II Section-A_L56_Numerical Analysis_Bisection_Ratnakar Mathematics Paper II Section-A_L57_Numerical Analysis_Regula Falsi and Newton Raphson_Ratnakar Mathematics Paper II Section-A_L58_Numerical Analysis_Newton Forward and Backward Interpolation_Ratnakar Mathematics Paper II Section-A_L59_Numerical Analysis_Laurent Series and Singularities_Ratnakar Mathematics Paper II Section-A_L60_Numerical Analysis_Cauchy Residue Theorem, Contour Integration_Ratnakar Mathematics Paper II Section-A_L61_Numerical Analysis_Netwon Forword and Backword Interpoloation_Ratnakar Mathematics Paper II Section-A_L62_Numerical Analysis_Lagrange's Interpolation Formula_Ratnakar Mathematics Paper II Section-A_L63_Numerical Analysis_Numerical Integration_Ratnakar Mathematics Paper II Section-A_L64_Numerical Analysis_Gaussian Quadrature Formula_Ratnakar Mathematics Paper II Section-A_L65_Numerical Analysis_Numerical Solution of ODE_Ratnakar Mathematics Paper II Section-A_L66_Partial Differential Equations_Family of Surfaces in 3 Dimension and Formation_Ratnakar Mathematics Paper II Section-A_L67_Partial Differential Equations_Cauchy Method of Characteristics_Ratnakar Mathematics Paper II Section-A_L68_Partial Differential Equations_Linear Partial Differencial Equation_Ratnakar