JAM Mathematics Syllabus 2023
JAM Mathematics Syllabus 2023
JAM Mathematics Syllabus 2023 : Bolzano-Weierstrass Theorem, Cauchy Sequences, Subsequences, Absolute Convergence, Series of Real Numbers,
Tests of Convergence for Series of Positive Terms, Comparison Test, Ratio Test, Root test, Convergence of Sequences, Convergence Standards for Sequences of Real Numbers,
Bounded along with Monotone Sequences, Sequence of Real Numbers, Leibniz Test for Convergence of Alternating Series, Limit, Intermediate Value Property, Continuity, Differentiation, Rolle’s Theorem, Mean Value Theorem Taylor’s Theorem, L’Hospital Rule, Maxima, along with Minima.
Limit, Continuity, Partial Derivatives, Differentiability, Maxima, along with Minima. Integration as an Inverse Process of Differentiation, Fundamental Theorem of Calculus, Definite Integrals along with their Properties.
Double as well as Triple Integrals, Calculating Surface Areas and along with d Volumes using Double Integrals, Change of Order of Integration, Calculating Volumes using Triple Integrals. Orthogonal Trajectories, Homogeneous Differential Equations, Linear Differential Equations of Second Order with Constant Coefficients,
Variable Separable Equations, Method of Variation of Parameters, Cauchy-Euler Equation, Ordinary Differential Equations of the First Order of the Form y’=f(XY), Bernoulli’s Equation, Integrating Factor, Exact Differential Equations Scalar along with Vector Fields, Divergence, Gradient, Curl, Line Integrals, Green, Stokes as well as Gauss Theorems, Surface Integrals. Groups, Subgroups, Non-Abelian Groups, Abelian along with, Cyclic Groups, Permutation Groups,
Normal Subgroups, Group Homomorphisms and Basic Concepts of Quotient Groups, Lagrange’s Theorem for Finite Groups. Matrix Representation, Rank-Nullity Theorem. Rank along with Inverse of a Matrix, Determinant, Consistency Conditions, Solutions of Systems of Linear Equations,
Eigenvalues, along with Eigenvectors for Matrices, Finite-Dimensional Vector Spaces, Linear Independence of Vectors, Basis, Dimension, Linear Transformations, Range Space, Null Space, Cayley-Hamilton Theorem. Interior Points, Closed sets, Limit Points, Open Sets, Bounded Sets,
Also Check JAM Economics Syllabus 2023 & JAM Chemistry Syllabus 2023
Connected Sets, Compact Sets, Completeness of R,Power Series (of Real Variable), Radius along with Interval of Convergence, Taylor’s Series, Term-Wise Differentiation as well as Integration of Power Series.
