Tata McGraw Hill Mathematics Book For IIT JEE Main: is one of the best books for IIT JEE 2024 Preparation, this book helps all the jee main and advanced aspirants because of the combination of the theory part and the numerical part given for practice in this book with the right emphasis solved examples and exercises.
Download Tata McGraw Hill Mathematics Book For IIT JEE
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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Tata McGraw Hill Mathematics Book Syllabus For IIT JEE
Below I will walk you through the whole mathematics syllabus covered in the Tata McGraw Hill Mathematics book.
Unit 1: Sets, Relations, and Functions
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.
Unit 2: Complex Numbers and Quadratic Equations
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.
Unit 3: Matrices and Determinants
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.
Unit 4: Permutations and Combinations
The fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n, r) and C (n, r), simple applications.
Unit 5: Mathematical Induction
Principle of Mathematical Induction and its simple applications.
Unit 6: Binomial Theorem and its Simple Applications
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
Unit 7: Sequences and Series
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.
Unit 8: Limit, Continuity, and Differentiability
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.
Unit 9: Integral Calculus
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.
Unit 10: Differential Equations
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
Unit 11: Co-ordinate Geometry
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.
Straight lines
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.
Circles, conic sections
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.
Unit 12: Three-Dimensional Geometry
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
Unit 13: Vector Algebra
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.
Unit 14: Statistics and Probability
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.
Unit 15: Trigonometry
Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.
Unit 16: Mathematical Reasoning
Statements, logical operations, or implies, implied by, if, and only if. Understanding of tautology, contradiction, converse, and contrapositive
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Free Download Notes Mathematics Book
FAQs on Tata McGraw Hill Mathematics Book for IIT JEE
Q1: What is the Tata McGraw Hill Mathematics Book for IIT JEE?
Answer – The Tata McGraw Hill Mathematics Book for IIT JEE is a comprehensive study material specifically tailored to aid students preparing for the Indian Institute of Technology Joint Entrance Examination (IIT JEE). It covers a wide array of mathematical concepts and problems aimed at enhancing problem-solving skills required for the exam.
Q2: Is the Tata McGraw Hill Mathematics Book specifically designed for IIT JEE?
Answer – The Tata McGraw Hill Mathematics Book is crafted to cater to the syllabus and requirements of the IIT JEE examination. It aligns with the mathematical topics and problem-solving methods needed to excel in this highly competitive exam.
Q3: Which mathematical topics does the Tata McGraw Hill book cover?
Answer- The book typically covers a vast range of mathematical topics that are part of the IIT JEE syllabus, including but not limited to:
- Algebra
- Trigonometry
- Calculus (Differential and Integral)
- Coordinate Geometry
- Vector Algebra
- Probability
- Matrices and Determinants, among others.
Q4: How effective is the Tata McGraw Hill Mathematics Book for IIT JEE preparation?
Answer – The book is considered highly effective due to its comprehensive coverage of topics, ample practice questions, and detailed explanations. However, its effectiveness may vary depending on individual learning styles and needs.
Q5: Can the Tata McGraw Hill Mathematics Book be used for other competitive exams apart from IIT JEE?
Answer – The book's content is designed to build a strong foundation in mathematics, making it beneficial for various other competitive exams that include mathematical sections or require strong problem-solving skills
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