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Tata McGraw Hill Mathematics Book for IIT JEE 2026 is one of the best resources for JEE Main and Advanced aspirants. It offers a perfect balance of clear theory, solved examples, and high-quality numerical practice. The book is also widely used by NRI students in the USA and Middle East, as it provides strong conceptual clarity and extensive practice needed for JEE, DASA, and CIWG preparation.
There are various versions available for the Tata McGraw Hill Mathematics IIT JEE Book. All the aspirants from India and middle east countries can download this book directly from the below links:
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Below I will walk you through the whole mathematics syllabus covered in the Tata McGraw Hill Mathematics book.
Sets and their representation; Union, intersection, and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. one-one, into and onto functions, the composition of functions.
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots.
Matrices, algebra of matrices, types of matrices, determinants, and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency, and solution of simultaneous linear equations in two or three variables using determinants and matrices.
The fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n, r) and C (n, r), simple applications.
Principle of Mathematical Induction and its simple applications.
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum up to n terms of special series: Ân, Ân2, Ân3. Arithmetic – Geometric progression.
Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, and inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; derivatives of order up to two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, xiv Syllabus monotonic—increasing and decreasing functions, Maxima and minima of functions of one variable, tangents, and normals.
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals, Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
Ordinary differential equations, their order, and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dry dx + = p x( )y q( ) x
Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, and intercepts of a line on the coordinate axes.
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, a distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
The standard form of the equation of a circle, the general form of the equation of a circle, its radius and center, the equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the center at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for y = MX + c to be a tangent and point (s) of tangency.
Coordinates of a point in space, the distance between two points, section formula, direction ratios, and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, and coplanar lines. Syllabus xv
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.
Measures of Dispersion: Calculation of mean, median, and mode of grouped and ungrouped data. Calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials, and Binomial distribution.
Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.
Statements, logical operations, or implies, implied by, if, and only if. Understanding of tautology, contradiction, converse, and contrapositive
JEE Main Chemistry Syllabus 2026
JEE Main Mathematics Syllabus 2026
Free Download Notes Mathematics Book
1. Is Tata McGraw Hill Mathematics still useful for IIT JEE 2026?
Yes. The Tata McGraw Hill (TMH) Mathematics book remains one of the best resources for JEE Main and Advanced 2026. Its blend of theory, solved examples, and practice exercises makes it highly effective for conceptual and numerical mastery.
2. Is this book recommended for NRI students preparing from the USA or Middle East?
Absolutely. TMH Mathematics is widely used by NRI students in the USA, UAE, Saudi Arabia, Qatar, Oman, and Kuwait because it closely follows the JEE pattern and supports DASA/CIWG preparation.
3. What topics does the Tata McGraw Hill Mathematics book cover?
It covers the entire JEE syllabus, including Algebra, Calculus, Coordinate Geometry, Trigonometry, Vectors, 3D Geometry, Probability, and more-aligned with the JEE Main & Advanced 2026 structure.
4. Is the TMH Mathematics book enough for JEE Main preparation?
It’s excellent for concept-building and practice. For complete preparation, students should also solve JEE Main PYQs, NTA mock tests, and an advanced-level problem book.
5. Is Tata McGraw Hill Mathematics suitable for JEE Advanced 2026?
Yes. The book includes high-level numerical problems and conceptual explanations designed to strengthen problem-solving skills required for JEE Advanced.
6. Are different versions available for TMH Mathematics?
Yes. Students can access versions for Class 11, Class 12, competitive exams, JEE Main, and JEE Advanced. Your blog already lists separate download links for each category.
7. Is this book suitable for CBSE Class 11 & 12 mathematics as well?
Yes. Many CBSE students use TMH Mathematics to strengthen concepts and score better in board exams while parallelly preparing for JEE.
8. Does Tata McGraw Hill Mathematics include solved examples?
Yes. Each chapter includes detailed solved examples followed by progressively challenging exercises, making it easy to understand and practice.
9. How should NRI students use TMH Mathematics for DASA/CIWG preparation?
NRI students should begin with chapter-wise theory, solve all solved examples, practice unsolved exercises, and combine it with online JEE mock tests to meet DASA/CIWG cut-off expectations.
10. Is a PDF version of Tata McGraw Hill Mathematics legally available?
Official PDFs are typically available only through the publisher or authorized platforms. Students can purchase legal digital or physical copies via Amazon, Flipkart, or McGraw Hill’s official site.
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