About the Cengage G Tewani Mathematics Set

Book Set Overview

JEE (Advanced) Algebra

Algebra is one of the largest and most important books in the set because it covers many independent high-weightage units. It is essential for building mathematical maturity and logical manipulation skills.

Students should not rush through Algebra. This book rewards consistent solving more than theory reading alone, and it becomes easier only after repeated exposure to patterns.

Chapters and Subtopics

• Sets, Relations and Functions – types of sets, operations, relation properties, domain and range, composite and inverse functions
• Logarithms – laws of logarithms, equations, inequalities, transformations and applications
• Quadratic Equations – roots, nature of roots, relation between roots and coefficients, parameter-based problems
• Sequences and Series – AP, GP, HP, special series, sigma notation, recurrence ideas
• Permutations and Combinations – counting principles, arrangements, selections, restrictions, combinatorial reasoning
• Binomial Theorem – expansion, general term, middle term, greatest term, binomial identities
• Complex Numbers – Argand plane, modulus, argument, polar form, roots, geometry of complex numbers
• Matrices – operations, types, inverse, rank basics, elementary transformations
• Determinants – properties, minors, cofactors, system of equations, area applications
• Probability – basic probability, conditional probability, Bayes theorem, independent events
• Mathematical Reasoning – statements, implication, converse, logic patterns
• Statistics – mean, variance, standard deviation, grouped data basics

JEE (Advanced) Calculus

Calculus is the backbone of advanced JEE Mathematics. It tests both conceptual clarity and technical execution, so this volume is extremely important for rank improvement.

The best way to study this book is in sequence because later chapters depend strongly on the earlier ones.

Chapters and Subtopics

• Functions for Calculus – domain, range, graphs, transformations, composition, inverse functions
• Limits – algebraic limits, standard results, one-sided limits, infinite limits
• Continuity – continuity types, piecewise functions, removable and non-removable discontinuity
• Differentiability – definition, left and right derivative, non-differentiability cases
• Methods of Differentiation – chain rule, product rule, implicit differentiation, parametric differentiation
• Applications of Derivatives – monotonicity, maxima-minima, tangent-normal, approximation, rate of change
• Indefinite Integration – substitution, partial fractions, standard forms, special manipulations
• Definite Integration – properties, evaluation methods, symmetry, periodicity
• Area Under the Curve – bounded regions, intersection area, axis-based area
• Differential Equations – variable separable form, homogeneous form basics, solution interpretation

JEE (Advanced) Coordinate Geometry

Coordinate Geometry translates figures into equations and equations back into geometry. It is one of the most trainable branches of JEE Mathematics if studied with diagrams.

This volume rewards students who combine formula revision with regular sketching and interpretation.

Chapters and Subtopics

• Basic Coordinate Geometry – distance formula, section formula, centroid, area of triangle
• Straight Line – slope, intercept form, angle between lines, family of lines, distance from point to line
• Pair of Straight Lines – general second-degree equation, angle between pair, combined equation ideas
• Circle – standard equation, tangent, normal, power of point, chord, family of circles
• Parabola – standard forms, tangent, normal, parametric equations, focal properties
• Ellipse – equation, eccentricity, directrix, tangent, normal, parametric form
• Hyperbola – equation, asymptotes, tangent, conjugate hyperbola, parametric form

JEE (Advanced) Trigonometry

Trigonometry is compact in size compared with Algebra or Calculus, but it is extremely important because it supports many other chapters. It improves equation solving, graph understanding, and transformation speed.

This book should be revised repeatedly in short cycles because trigonometric identities fade quickly if not used often.

Chapters and Subtopics

• Trigonometric Ratios and Identities – fundamental identities, transformation formulas, reciprocal relations
• Trigonometric Equations – general solutions, principal values, equation solving strategies
• Properties of Triangles – sine rule, cosine rule, projection formula, inradius, circumradius
• Inverse Trigonometric Functions – domains, principal values, identities, equation solving
• Graphs of Trigonometric Functions – periodicity, amplitude, phase shift, transformation ideas
• Advanced Manipulation – substitution techniques, symmetric expressions, mixed identities

JEE (Advanced) Vectors and 3D Geometry

This book is one of the most efficient scoring books in the set because the theory is concise and the problem pattern becomes familiar with practice. It also helps improve spatial thinking.

Students often find this subject enjoyable once they understand vector operations and the geometry of lines and planes.

Chapters and Subtopics

• Vector Algebra – vectors, magnitude, direction ratios, addition, scalar multiplication
• Dot Product – angle between vectors, projection, geometric interpretation
• Cross Product – area, perpendicularity, direction, vector product applications
• Scalar Triple Product – volume, coplanarity, determinant relation
• Line in 3D – vector equation, Cartesian form, angle between lines, shortest distance
• Plane – equation of plane, angle with line or plane, distance of point from plane
• Combined 3D Problems – line-plane intersection, image and projection concepts, mixed questions

Frequently Asked Questions

Conclusion

About ICTSCIENCEREKHA.IN