NDA Mathematics 2026 — Complete Syllabus

Covers the fundamental concepts of sets, their operations, Venn diagrams, De Morgan's laws, Cartesian products, relations, and equivalence relations.

Explores complex numbers, their basic properties, modulus, argument, cube roots of unity, and the binary number system with conversions.

Covers arithmetic, geometric, and harmonic progressions.

Focuses on quadratic equations with real coefficients and graphical solutions for linear inequations of two variables.

Covers permutations, combinations, the binomial theorem, and its applications.

Deals with logarithms and their practical applications.

Covers different types of matrices and their basic operations.

Focuses on determinants, their properties, adjoint and inverse of matrices, and solving systems of linear equations using Cramer's rule and matrix methods.

Covers angles in degrees and radians, trigonometric ratios, identities, sum and difference formulae, and multiple/sub-multiple angles.

Deals with inverse trigonometric functions and their applications in height and distance problems, and properties of triangles.

Covers the rectangular Cartesian coordinate system, distance formula, equations of lines and circles, and standard forms of parabola, ellipse, and hyperbola.

Focuses on points in 3D space, distance formula, direction cosines and ratios, equations of planes and lines, angles between them, and equations of spheres.

Covers the concept of real-valued functions, their domain, range, graphs, composite and inverse functions, along with the notion of limits and continuity.

Deals with the derivatives of various types of functions, including composite functions, second-order derivatives, and applications in finding increasing/decreasing functions and problems of maxima and minima.

Covers integration as the inverse of differentiation, methods of substitution and parts, standard integrals, and evaluation of definite integrals for finding areas of plane regions.

Focuses on the definition of order and degree of differential equations, formation of differential equations, and solving first-order and first-degree differential equations of various types.

Covers the application of differential equations in problems related to growth and decay.

Introduces vectors in two and three dimensions, covering their magnitude, direction, addition, and scalar multiplication.

Covers the scalar (dot) product and vector (cross) product of two vectors, with applications in geometry, work done by a force, and moment of a force.

Covers classification and graphical representation of data, measures of central tendency (mean, median, mode), variance, standard deviation, correlation, and regression.

Introduces random experiments, sample spaces, events, definitions of probability (classical and statistical), and elementary theorems on probability.

Covers conditional probability, Bayes' theorem, random variables, and the binomial distribution.