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A single-sheet concept map covering the complete Quadratic Equations syllabus in 19 sections across four topics, from the discriminant and root relations through to root location, Vieta's relations and Newton's formula. Sized A1 for a classroom wall chart, and readable on screen for quick revision.

A single-sheet concept map covering the complete Complex Numbers syllabus in 18 sections across four topics. Includes powers of iota, algebra and conjugates, modulus and argument with the principal-value algorithm, polar and Euler form, square roots, De Moivre's theorem, and the cube and nth roots of unity with all their properties. Sized A1 for a classroom wall chart, and readable on screen for quick revision.

Every counting technique on one A1 sheet permutations, combinations, circular and restricted arrangements, distributions, divisors and derangements, with six diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

A single-page map of the whole Binomial Theorem: the general and middle terms, the greatest term and the greatest coefficient, every standard sum of binomial coefficients, the divisibility and remainder methods, and the exponential and logarithmic series that JEE papers attach to this chapter. Thirty-one concepts in five topics, printed at A1 so it can go on a wall. For Class 11 and 12 students revising for JEE Main and Advanced.

Every property of determinants on one A1 sheet, plus adjoint, inverse, rank and all three methods of solving a linear system, with four diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

All of Set Theory on one A1 sheet operations and their Venn diagrams, the algebra of sets, counting with two and three sets, and sets on the number line. Thirty concepts in five topics with fourteen figures, built for last-week revision before JEE Main and Advanced.

A single-sheet concept map covering the complete Sequence and Series syllabus in 17 numbered sections, grouped into four chapters: Arithmetic Progression, Geometric Progression, Harmonic Progression and Means, and Special Sequences and Series. Every definition, general term, sum formula, property list and insertion-of-means result is included, with the key formula of each section highlighted. Designed at A2 for printing as a wall chart, and readable on screen for quick revision before a test.

The complete Probability syllabus on one sheet 32 sections across events, conditioning, random variables, statistics and method, with ten diagrams and a tool-choice chart. Ten diagrams carry the reasoning Venn diagrams for the addition theorem and for conditioning, a probability tree, a Bayes bar, binomial bars, a dispersion figure and the tool-choice flowchart. Named theorems each get their own section. Every formula is stated in the form the paper uses.

The foundations the rest of the JEE course assumes, on one sheet, built to the syllabus and the IITianForum formula book. Intervals and sign covers the number systems, all nine interval types, and the wavy curve method in full. Modulus and step functions covers equations, inequalities, several moduli, and the greatest integer, fractional part and signum. Logarithms runs from the existence conditions and the laws to inequalities, mantissa and digit counting. Identities and means carries the algebraic identities, componendo, the AM, GM, HM chain, surds and polynomial division. The last topic is method, with a decision chart, the results worth memorising and the traps, and eleven diagrams throughout.

A single sheet covering the whole of Matrices, built from the JEE syllabus and our formula book. It opens with orders, types and the trace. Multiplication follows, with non-commutativity, zero divisors and powers. Transpose then drives symmetric, skew, orthogonal, idempotent and Hermitian types. Row operations, the inverse and Cayley-Hamilton close the theory, and a final panel lists standard results and traps. Eight figures carry the visual work.

A single-sheet concept map covering the complete Relations and Functions syllabus in 19 sections across four topics, from cartesian products and equivalence classes through to bijections, inverse functions and functional equations, with graphs throughout. Sized A1 for a classroom wall chart, and readable on screen for quick revision.

A single-sheet concept map covering the complete Limit, Continuity and Differentiability syllabus in 20 sections across four topics. Includes one-sided limits, algebra of limits, the sandwich theorem, indeterminate forms, all eight evaluation methods from factorisation through L'Hospital's rule, continuity on open and closed intervals, the three kinds of discontinuity, and left and right hand derivatives, with graphs throughout. Sized A1 for a classroom wall chart, and readable on screen for quick revision.

A one-sheet revision map of the entire Application of Derivatives unit, built to the JEE Main and JEE Advanced syllabus. Thirty-six numbered sections run across five topics: tangents, normals, sub-tangent and sub-normal lengths, related rates and approximation; Rolle, Lagrange and Cauchy's mean value theorems with the inequalities and root counts they deliver; monotonicity, sign charts, concavity and points of inflection; the first, second and nth order derivative tests, global extrema on a closed interval, integral-defined functions, the roots of a cubic and the standard optimisation results; and a closing decision chart for picking the right tool, with the results worth memorising and the traps that cost marks. Fifteen diagrams carry the reasoning, and every formula is stated in the form the paper actually uses.

Every technique of differentiation on one sheet, built to the JEE Main and JEE Advanced syllabus and to the IITianForum formula book. The first topic gives first principles, the three standard-derivative tables, the product, quotient and chain rules, and differentiating one function with respect to another. The special techniques follow: implicit and parametric differentiation with the second-derivative trap, logarithmic differentiation, the derivative of an inverse function, folding an inverse trigonometric expression before differentiating, and differentiating a determinant row by row. Higher order carries successive differentiation, the nth derivatives worth knowing, the general Leibniz formula, recurrence relations and differentiating an integral. Differentiability covers the one-sided derivatives, the sharp-corner rule for the modulus, the maximum and minimum of two functions, piecewise junctions, Darboux's theorem and approximation by differentials, and the last topic is method, with a decision chart, the results worth memorising and the traps that cost marks. Nine diagrams carry the reasoning, every formula is in the form the paper uses, and a closing card says which neighbouring sheet holds what this one leaves out.

Every technique of indefinite integration on one sheet, built to the JEE Main and JEE Advanced syllabus and to the IITianForum formula book. Thirty-five numbered sections run across five topics: the standard tables, the six forms, the three surds, linear substitution and completing the square; the substitution rule with the recognition patterns, the trigonometric and rationalising substitutions and the x plus or minus one over x family; integration by parts with ILATE, the two product-rule patterns, the integral that returns and has to be solved for, repeated parts and the reduction formulae with their derivation; then partial fractions in all four cases, the rational shortcuts, powers of sine and cosine, multiple-angle and product-to-sum identities, the half angle and tan x substitutions, one linear trigonometric form over another, modulus integrands and the integrals with no elementary answer; and a closing decision chart with the results worth memorising and the traps that cost marks. Six diagrams carry the ideas that are genuinely visual, and every formula is stated in the form the paper actually uses.

The whole Differential Equations unit on one sheet, built to the JEE Main and JEE Advanced syllabus and to the IITianForum lecture notes. The first topic covers order and degree, how many constants a solution carries, the slope-field reading and forming an equation by eliminating constants. Separable and exact follows, with the reducing substitutions, the exact differentials worth knowing by sight and the exactness test. Homogeneous and linear covers the y equals vx reduction, shifting the origin, the integrating factor and Bernoulli. Curves and applications carries the geometry dictionary, orthogonal trajectories, growth and decay, cooling, mixing and bounded growth. The last topic is the harder Advanced material and method, with a decision chart, the results worth memorising and the traps that cost marks, and nine diagrams carry the reasoning throughout.

Two chapters on a single sheet, built to the JEE Main and JEE Advanced syllabus, covering the definite integral and the area it measures in thirty-seven numbered sections across five topics: the fundamental theorem, the limit of a sum, signed area and the basic properties; the king property with all three corollaries, the [0,2a] and odd–even rules and periodicity; splitting at a modulus or a greatest integer, reduction formulae, Wallis in both forms, the Gamma and Beta functions with their properties and the link between them, inverse-function pairing and the estimation inequalities; then the area half, with strips, crossing curves, the six configurations, curve tracing, the nine transformations, a table of standard results, the circular segment, regions from inequalities and parameter questions; and a closing decision chart with the results worth memorising and the traps that cost marks. Fifteen diagrams carry the reasoning, and every formula is stated in the form the paper actually uses.

Every formula of Straight Lines on one A0 sheet the five triangle centres, all six forms of the equation of a line, distances, bisectors and change of axes, with nine diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

Every result on circles on one A1 sheet — tangents, chords, polars, families, radical axes and the five positions of two circles, with eleven diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

Every result on the parabola on one A1 sheet standard forms, focal chords, tangents, normals, conormal points and the reflection property, with seven diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

Every result on the ellipse on one A1 sheet the auxiliary circle, tangents, normals, conjugate diameters, conormal points and the reflection property, with eight diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

The entire hyperbola on one A1 sheet elements of the curve, tangents and normals, chord of contact, director circle, asymptotes and the rectangular hyperbola xy = c-squared. Thirty-one concepts in five topics with eleven figures, built for last-week revision before JEE Main and Advanced.

A single-sheet concept map covering the complete Trigonometry syllabus in 22 sections across five topics. Includes domain and range tables, sum and difference formulae, multiple and triple angles, sum-to-product and product-to-sum transformations, the three-angle and n-angle expansions, all ten inverse trigonometric properties, and heights and distances with the m-n theorem, with diagrams. Sized A0 for a classroom wall chart, and readable on screen for quick revision.

Every rule, circle, centre and formula of Solution of Triangle on one A0 sheet, with seven diagrams and ready-to-use tables for solving any triangle. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

Every result of the Vectors chapter on one A1 sheet dot and cross products, both triple products, areas, volumes and the reciprocal system, with seven diagrams. Made for JEE Main and Advanced revision when you want the whole chapter at a glance.

All of 3D Geometry on one A1 sheet lines, planes, skew distance, foot and image, and every angle formula, with ten diagrams. Thirty-four concepts in five topics, plus a decision table that names the move for each question type.

Every question of IOQM 2026 is worked in full, with the paper reprinted so nothing needs a second document. Thirty solutions run across three sections of ten. The work is geometry, number theory, counting and algebra. The tools are school ones: sine and cosine rules, circle theorems, remainders and cases. Each geometry question carries a figure drawn to its own data. Every answer sits below its working, and the full key closes the book.

A single sheet covering IOQM number theory, written from the pre-RMO syllabus and mapped to all number theory questions of IOQM 2026. It opens with divisibility, primes and factorisation. GCD, Bezout and linear Diophantine equations follow. Modular arithmetic covers Fermat, Euler, orders and the Chinese remainder theorem. Digits, perfect squares and bounding methods come next, then a method and traps panel. Eleven figures carry the visual work.

A single sheet covering IOQM combinatorics, written from the pre-RMO syllabus and mapped to all nine counting questions of IOQM 2026. It opens with counting principles and arrangements. Stars and bars, paths and Catalan numbers follow. Inclusion and exclusion, derangements and recursions come next. Pigeonhole, invariants and graphs close the theory, then a method and traps panel. Thirteen figures carry the visual work.

A single sheet covering IOQM geometry, written from the pre-RMO syllabus and mapped to all seven geometry questions of IOQM 2026. It opens with angles, triangles and the median to the hypotenuse. Similarity, bisectors, Stewart and Ceva follow. Circle theorems, power of a point and triangle centres come next. Coordinates, angle chasing and Pick's theorem close the theory, then a method and traps panel. Twenty-five figures carry the visual work.

A single sheet covering IOQM algebra, written from the pre-RMO syllabus and mapped to all four algebra questions of IOQM 2026. It opens with identities, surds, floor and modulus. Polynomials follow, with Vieta, remainders and roots of unity. Systems, substitutions and functional equations come next. Sequences and the classical inequalities close the theory, then a method and traps panel. Fourteen figures carry the visual work.

Part I of the IOQM Handbook teaches number theory from the basics, in five chapters. It opens with divisibility, primes and unique factorisation. GCD, Bezout and linear Diophantine equations follow. Modular arithmetic covers Fermat, Euler, order and the Chinese remainder theorem. Digits, squares and bounding methods come next, then a problem solving chapter. It has 44 worked examples, 69 exercises with answers, and all ten number theory questions of IOQM 2026 solved.

Part II of the IOQM Handbook teaches combinatorics from the basics, in five chapters. It opens with counting principles and arrangements. Distributions, bijections and lattice paths follow. Inclusion and exclusion, derangements and recursion come next. Pigeonhole, colouring and invariants lead into graphs and problem solving. It has 36 worked examples, 65 exercises with answers, and all nine combinatorics questions of IOQM 2026 solved.

Part III of the IOQM Handbook teaches geometry from the basics, in five chapters. It opens with angles, triangles and congruence. Similarity, lengths and areas follow. Trigonometry in the triangle comes next, then circles, power of a point and triangle centres. A final chapter covers coordinates and problem solving. It has 38 worked examples, 58 exercises with answers, and all seven geometry questions of IOQM 2026 solved.

Part IV of the IOQM Handbook teaches algebra from the basics, in five chapters. It opens with identities and manipulation. Polynomials follow, with Vieta and the remainder theorem. Equations, systems and functional equations come next. Sequences, series and recursions lead into inequalities and problem solving. It has 45 worked examples, 65 exercises with answers, and all four algebra questions of IOQM 2026 solved.

The complete Mathematics paper of JEE Main, set out unit by unit in the order the examination itself lists them, from Sets, Relations and Functions through Co-ordinate Geometry, Calculus, Vectors, 3D Geometry and Probability. Thirteen units covering Class 11 and 12, with every sub-topic spelled out so there is no guessing about scope. Between the units sit formula banks worth committing to memory and method cards on how to approach each question type. Valid for the 2026, 2027 and 2028 attempts, and designed to be read beside the IITianForum two-year course planner.

JEE Advanced does not test chapters, it tests the joints between them so this analysis ranks focus areas by depth and direction rather than by weightage. Twenty-one focus areas across four priority phases: Calculus and high-intensity algebra, Combinatorics and logical analysis, Coordinate geometry and supportive mastery, and Analytical trigonometry. Each carries a trend mark and a depth rating, showing where Main-level preparation will not survive contact with an Advanced paper. Matrices, Probability and Complex Numbers are all rising and all rated Very High depth the current rank-savers. Tick boxes for Advanced PYQs and two revision rounds make it a working checklist. Based on a comparative analysis of JEE Advanced paper patterns from 2021 to 2025.

The complete Mathematics syllabus for JEE Advanced 2026, set out unit by unit across Class 11 and 12: Sets, Relations and Functions; Algebra; Matrices and Determinants; Sequence and Series; Trigonometry; Differential and Integral Calculus; Differential Equations; Analytical Geometry; Vectors and 3D; and Probability and Statistics. Twelve units with every sub-topic named, so the extra depth Advanced demands over Main is visible at a glance. Read it alongside the JEE Main syllabus to see exactly where the two papers part company.

Twenty three chapters of JEE Main and Advanced mathematics in the sequence the syllabus is taught, so the book reads straight through as one revision pass or opens at a single chapter the night before a test. Around 740 results across 29 A4 pages, from Basic Algebra through Calculus, Coordinate Geometry, Vectors and 3D, and Probability. Nothing is derived; this is a revision sheet, not a textbook. Gold cards carry the results the paper leans on every year, dark cards mark where marks are reliably lost, usually a sign, a domain, or a condition that is easy to drop. Inverse Trigonometry runs to three pages, the longest chapter, because almost every mark lost there is a range error. Every formula was re-derived and machine checked before it was typeset. For Class 12 students and droppers.

Every chapter in the JEE Main maths syllabus ranked by its actual share of marks, with a trend arrow showing whether it is gaining or losing ground. Twenty-six chapters sorted into four priority phases High weightage, Moderate, Foundational and Specific topics from Three Dimensional Geometry at 9.4% down to Differentiation and Basic Maths at 0.8%. The big shift: Priority A chapters have fallen from a dominant 55% of the paper to about 45%, so selective study is now high risk for top percentiles. Each table carries tick boxes for basics, 2025 papers, 2022–24, 2019–21 and two revision rounds, so it doubles as a printable revision tracker. Based on the 2026 session and 2025 sessions 1 and 2, compared with 2019 to 2024 patterns.

One topic a day for 120 days, Tuesday 1 September to Tuesday 29 December 2026. The full maths syllabus in fifteen blocks, each closing with its own practice test, then eleven days of unit tests and full-syllabus practice. Twenty-six test days inside the count, plus a January run-up of ten mocks alternating with ten analysis days. Laid out month by month as a calendar, with five notes from Ritesh sir at days 23, 43, 60, 93 and 120. For Class 12 students and droppers sitting JEE Main 2027.

The complete IOQM syllabus, built on the official HBCSE list and widened with topics from IOQM 2026 and our olympiad archive. Algebra covers identities, polynomials, progressions and functional equations. Geometry covers angle chasing, circles, trigonometry and coordinates. Combinatorics covers counting, recursion, pigeonhole and graphs. Number Theory covers divisibility, congruences, digits and Diophantine equations. Nineteen units in all, ten marked high weightage, each with a formula box and a tips box.