SRMJEEE Maths Syllabus 2026 Out - Download Free PDF

Sets, Relations and Functions

Sets and their representations, Cartesian product of sets, union, intersection and their algebraic properties, relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings

Complex Numbers and Quadratic Equations

Complex numbers in the form a+ib and their representation in a plane, quadratic equations in real and complex number system, algebraic properties, relation between roots and coefficients, nature of roots, formation of quadratic equations, symmetric functions of roots, equations reducible to quadratics

Matrices, Determinants and Applications

Determinants and matrices of order 2 & 3, minors, cofactors, applications of determinants in finding area of triangle, equality, zero and identity matrices, transpose, symmetric and skew-symmetric matrices, addition & multiplication, adjoint & inverse, solving simultaneous linear equations using determinants & matrices, rank method

Combinatorics

Fundamental principle of counting, permutation without/with repetition, no circular permutations, combination as selection, problems on P(n,r) & C(n,r), factorial, simple applications

Algebra (Theory of Equations)

Relation between roots and coefficients, solving equations when roots are connected by relations, real coefficients and complex roots in conjugate pairs, transformation of equations, reciprocal equations

Differential Calculus and Applications

Polynomials, rational, trigonometric, logarithmic, exponential functions, inverse functions, graphs, limits, continuity, differentiation (sum, difference, product, quotient, composite, implicit), higher derivatives, applications (rate of change, monotonicity, maxima & minima, tangents & normals, Rolle’s & Lagrange’s theorems), differential equations (formation, separation of variables, homogeneous & linear ODEs)

Integral Calculus and Applications

Fundamental integrals (algebraic, trigonometric, exponential, logarithmic), integration by substitution, trigonometric identities, definite integrals (properties, evaluation, excluding applications)

Analytical Geometry

2D: Straight lines (forms, slope, intercepts, concurrent lines), triangles (centroid, incentre), circles (standard & general form, radius, centre, parametric form, tangent condition), conic sections (parabola, ellipse, hyperbola, properties). 3D: Direction cosines & ratios, line equations (Cartesian & vector), skew lines, shortest distance, angle between lines

Vector Algebra

Vectors & scalars, addition, direction cosines & ratios, components in 2D & 3D, scalar & vector products, scalar & vector triple product, applications to geometry

Statistics and Probability Distribution

Mean, median, mode (grouped & ungrouped), standard deviation, variance, mean deviation, probability (addition & multiplication theorems, conditional probability, Bayes theorem), probability distributions (Bernoulli, Binomial, Poisson, Normal)

Trigonometry

Trigonometric ratios, compound angles, identities & equations, inverse trig functions (domain & range), properties of triangles (incentre, circumcentre, orthocentre), solution of triangles, heights & distances