Mathematics (JEE & NDA)
Differential Calculus, Integral Calculus, Vectors, 3D Geometry & Matrices
This is the Mathematics (JEE & NDA) syllabus taught for JEE Advanced (IIT Entrance). Each topic opens as a full chapter — theory, worked examples and the traps that paper actually uses.
Topics in Mathematics (JEE & NDA)
- Binomial Theorem and Its Simple ApplicationsBinomial expansion for positive integral index, general and middle terms, and simple applications.
- Limits, Continuity, Differentiability and Applications of DerivativesLimits and continuity, differentiation rules, derivatives of standard functions, and applications like maxima, minima and rate of change.
- Integral CalculusIndefinite integration by substitution, parts and partial fractions, definite integrals, and areas bounded by curves.
- Complex Numbers and Quadratic EquationsAlgebra of complex numbers, modulus and argument, Argand plane, and roots and nature of quadratic equations.
- Conic SectionsStandard equations and properties of the parabola, ellipse and hyperbola including foci, directrices and eccentricity.
- Coordinate Geometry: Straight Lines and CirclesCartesian coordinates, distance and section formulas, equations of straight lines, and the geometry of circles.
- Differential EquationsOrder and degree of differential equations, separation of variables, homogeneous equations and linear first order equations.
- Matrices and DeterminantsAlgebra and types of matrices, evaluation of determinants, adjoint and inverse, and solving linear systems.
- Permutations and CombinationsFundamental principle of counting, arrangements and selections, and simple applications to counting problems.
- Statistics and ProbabilityMeasures of dispersion, probability of events, conditional probability, Bayes theorem and probability distributions.
- Sequence and SeriesArithmetic and geometric progressions, arithmetic and geometric means, and the relation between the two means.
- Sets, Relations and FunctionsSet operations and algebra, types of relations, equivalence relations, and one one, onto and composite functions.
- Three Dimensional GeometryCoordinates in space, direction cosines and ratios, equations of lines and planes, and distances and angles between them.
- TrigonometryTrigonometric identities and equations, inverse trigonometric functions, and heights and distances applications.
- Vector AlgebraAddition of vectors, scalar and vector products, scalar triple product and geometric applications of vectors.
Practise Mathematics (JEE & NDA)
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