NDA Mathematics Syllabus 2026: Official Topic Scope

Sets and operations; Venn diagrams; De Morgan laws; Cartesian product; relations and equivalence relations; real numbers; complex numbers; binary number system; arithmetic, geometric and harmonic progressions; quadratic equations; linear inequations in two variables by graphs; permutation and combination; binomial theorem; logarithms and applications.

Types and operations; determinants and properties; adjoint and inverse of a square matrix; systems of linear equations in two or three unknowns by Cramer's Rule and matrix method.

Angles in degrees and radians; trigonometric ratios and identities; sum and difference formulae; multiple and sub-multiple angles; inverse trigonometric functions; heights and distances; properties of triangles.

2D Cartesian coordinates, distance and line equations, angles and point-to-line distance, circles, parabola, ellipse, hyperbola, eccentricity and axes. 3D points, distances, direction cosines / ratios, line and plane forms, angles, sphere.

Real-valued functions; domain, range, graphs; composite, one-one, onto and inverse functions; limits; continuity; derivatives and interpretation; derivatives of standard combinations and composite functions; second derivatives; increasing / decreasing functions; maxima and minima.

Integration as inverse differentiation; standard integrals; substitution; integration by parts; partial fractions where applicable; definite integrals; areas; order and degree of differential equations; formation; general and particular solutions; first-order first-degree equations; growth and decay applications.

Vectors in 2D and 3D; magnitude and direction; unit and null vectors; addition; scalar multiplication; dot product; cross product; applications to work, moment and geometry.

Data classification, frequency and cumulative frequency distributions, histogram, pie chart, frequency polygon, mean / median / mode, variance, standard deviation, correlation and regression. Probability includes sample space and events, union / intersection / complement, classical and statistical probability, elementary theorems, conditional probability, Bayes theorem, random variables and binomial distribution.

This page owns official syllabus scope. It does not publish unofficial chapter weightage or historical PYQ frequency.