Name: Cengage Best Selling JEE Main Mathematics New Syllabus 4th Edition
Brand: Amit Book Depot
Price: 1049 INR
Availability: InStock

Cengage Best Selling JEE Main Mathematics 4th Edition by Ghanshyam Tewani is a vital resource for JEE Main aspirants. This comprehensive book covers 29 chapters, ranging from foundational concepts like sets and inequalities to advanced topics in calculus and statistics. With in-depth explanations, numerous practice problems, and student-friendly solutions, this edition facilitates effective learning and problem-solving. It provides the theoretical knowledge and practical skills essential for success in competitive exams. Perfect for both self-study and classroom use, this book equips students with the tools necessary to master mathematics for the JEE Main.

Key Features:

1. Comprehensive Coverage – This book provides an in-depth understanding of all topics prescribed in the JEE Main Mathematics syllabus, ensuring students are well-prepared for the exam.

2. Conceptual Clarity – Each chapter begins with a clear explanation of fundamental concepts, supported by illustrative examples and step-by-step solutions to enhance understanding.

3. Practice-Oriented Approach – Includes a wide range of practice problems, including previous years’ JEE Main questions, MCQs, numerical-based questions, and assertion-reasoning problems to strengthen problem-solving skills.

4. Structured Learning – The content is systematically organized, progressing from basic to advanced levels, making it suitable for JEE Main aspirants at all stages of preparation.

5. Detailed Solutions – Every problem is accompanied by a detailed solution, helping students grasp the methodology and approach required for competitive exams.

6. Exam-Focused Strategies – Tips, tricks, and shortcuts are provided to help students solve problems efficiently within the limited exam duration.

7. Error-Free Content – The book is meticulously reviewed to ensure accuracy, making it a reliable resource for JEE Main preparation.

Why Choose This Book?

1. Authored by Ghanshyam Tewani – A renowned name in JEE Mathematics education, known for his student-friendly approach and expertise in competitive exam training.

2.Published by Cengage Learning – A trusted publisher known for high-quality engineering and exam preparation books.

3. Latest Edition (4th) – Updated with the newest JEE Main syllabus and exam pattern, ensuring relevance.

4. Balanced Theory & Practice – The perfect blend of concept explanations and problem sets for thorough preparation.

5. Ideal for Self-Study & Coaching – Suitable for both independent learners and coaching institute students.

Target Audience:

1. JEE Main & Advanced Aspirants

2. Class 11 & 12 Students preparing for engineering entrance exams

3. Teachers & Tutors looking for a structured reference book

Conclusion:

The Cengage Best Selling JEE Main Mathematics – 4th Edition by Ghanshyam Tewani is a must-have resource for students aiming to crack JEE Main with a high score. With its comprehensive content, abundant practice questions, and detailed solutions, this book ensures conceptual mastery and exam readiness. Whether you are a beginner or an advanced learner, this book will serve as an essential guide throughout your JEE Main preparation journey.

Have Doubts Regarding This Product ? Ask Your Question

Q1

What are the key topics covered in the JEE Main Mathematics Book?

A1

The book covers essential topics such as Sets, Quadratic Equations, Matrices, Permutations and Combinations, Calculus, 3D Geometry, Trigonometry, Statistics, and more.
Q2

Who is the author of the book, and what qualifications does he have?

A2

The book is authored by Ghanshyam Tewani, a renowned educator in JEE Mathematics, known for his extensive experience and ability to simplify complex mathematical concepts.
Q3

Is this book suitable for self-study, or is it better for classroom use?

A3

The book is designed for both self-study and classroom use, offering clear explanations and structured learning that benefit all types of learners.
Q4

Does the book include practice problems from previous JEE Main exams?

A4

Yes, the book contains a wide range of practice problems, including questions from previous years’ JEE Main exams, to help students familiarize themselves with the exam pattern.
Q5

Are the solutions to practice problems detailed and easy to understand?

A5

Yes, each problem is accompanied by a detailed solution that explains the methodology and approach, ensuring students can grasp the concepts thoroughly.
Q6

Does the book include any tips or strategies for effective exam preparation?

A6

Yes, students will find various exam-focused strategies, tips, tricks, and shortcuts throughout the book to help them solve problems efficiently within limited time.
Q7

Does this book cover the entire JEE Main Mathematics syllabus?

A7

Yes, it covers all topics prescribed in the JEE Main Mathematics syllabus, ensuring comprehensive preparation for the exam.
Q8

Are solutions provided for all problems?

A8

Yes! The book includes detailed step-by-step solutions for all problems, helping students understand methodologies and avoid common mistakes.
Q9

Does it include previous years’ JEE Main questions?

A9

Absolutely! The book integrates PYQs (Previous Year Questions) and categorizes them by difficulty level (easy, moderate, tough) for targeted practice.
Q10

Are solutions provided for all problems?

A10

Yes! The book includes detailed step-by-step solutions for all problems, helping students understand methodologies and avoid common mistakes.

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1. Sets, Inequalities, Modulus, and Logarithm

2. Theory of Equations

3. Complex Numbers

4. Progression and Series

5. Permutation and Combination

6. Binomial Theorem

7. Probability

8. Matrices

9. Determinants

10. Trigonometric Ratios and Identities

11. Trigonometric Equations

12. Inverse Trigonometric Functions

13. Properties of Triangles

14. Coordinate System and Straight Line

15. Circle

16. Parabola

17. Ellipse and Hyperbola

18. Relations and Functions

19. Limits

20. Methods of Differentiation

21. Continuity and Differentiability

22. Application of Derivatives

23. Monotonicity and Extremum of Functions

24. Indefinite Integration

25. Definite Integration and Area

26. Differential Equations

27. Vectors

28. Three-Dimensional Geometry

29. Statistics

Solutions

JEE (MAIN) SYLLABUS

Part I: MATHEMATICS

UNIT 1: SETS, RELATIONS, AND FUNCTIONS:

Sets and their representation; union, intersection, and complement of sets and their algebraic properties;

Power set; relations, types of relations, equivalence relations, functions; one-to-one, into, and onto functions; and 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, Quadratic equations in real and complex number systems and their solutions; relations between roots and coefficients, nature of roots, and the 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; evaluation of determinants; area of triangles using determinants; Adjoint and inverse of a square matrix;

Test of consistency and solution of simultaneous linear equations in two or three variables using matrices.

UNIT 4: PERMUTATIONS AND COMBINATIONS:

The fundamental principle of counting, permutations, and combinations; the meaning of P(n, r) and C(n, r); and simple applications.

UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:

Binomial theorem for a positive integral index, general term, middle term, and simple applications.

UNIT 6: SEQUENCE AND SERIES:

Arithmetic and geometric progressions, insertion of arithmetic and geometric means between two given numbers, Relation between A.M. and G.M.

UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:

Real-valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic, and exponential functions; 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, Applications of derivatives: rate of change of quantities, monotonic-increasing and decreasing functions, Maxima and minima of functions of one variable.

UNIT 8: INTEGRAL CALCULUS

Integral as an antiderivative, 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 of the type The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves.

UNIT 9: DIFFERENTIAL EQUATIONS

Ordinary differential equations, their order and degree, the solution of a differential equation by the method of separation of variables, and the solution of a homogeneous and linear differential equation of the type

UNIT 10: COORDINATE GEOMETRY

Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus and its equation, the slope of a line, parallel and perpendicular lines, and intercepts of a line on the coordinate axis. Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, the coordinates of the centroid, the orthocenter, and the circumcenter of a triangle. Circle, conic sections: A standard form of equations 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 sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms.

UNIT 11: THREE DIMENSIONAL GEOMETRY :

Coordinates of a point in space, the distance between two points, the section formula, direction ratios and direction cosines, and the angle between two intersecting lines. Equation of a line; skew lines, the shortest distance between them, and its equation. UNIT 12: VECTOR ALGEBRA :

Vectors and scalars, the addition of vectors, components of a vector in two-dimensional and three-dimensional spaces, and scalar and vector products.

UNIT 13: STATISTICS AND PROBABILITY :

Measures of dispersion: calculation of the 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, Bayes's theorem, and probability distribution of a random variable.

UNIT 14: TRIGONOMETRY :

Trigonometric identities and trigonometric functions, inverse trigonometric functions, and their properties.

Part II: APTITUDE TEST

UNIT - 1 Awareness of persons, buildings, materials, objects, and textures related to architecture and the built environment, Visualizing three-dimensional objects from two-dimensional drawings. Visualizing different sides of three-dimensional objects Analytical Reasoning Mental Ability (Visual, Numerical, and Verbal)

UNIT 2: Three-dimensional perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, color, texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms, both 2D and 3D; union, subtraction, rotation; development of surfaces and volumes; generation of plans, elevations, and 3D views of objects; creating two-dimensional and three-dimensional compositions using given shapes and forms.

Part III: PLANNING

UNIT-1 GENERAL AWARENESS. General knowledge questions and knowledge about prominent cities, development issues, government programs, etc.

UNIT 2: SOCIAL SCIENCES

The idea of nationalism, nationalism in India, pre-modern world, 19

th-century global economy, colonialism and colonial cities, industrialization, resources and development, types of resources, agriculture, water, mineral resources, industries, national economy, and human settlements. Power-sharing, federalism, political parties, democracy, the constitution of India. Economic development: economic sectors, globalization, the concept of development, poverty, population structure, social exclusion and inequality, urbanization, rural development, and colonial cities. UNIT 3: THINKING SKILLS

Comprehension (unseen passage); map reading skills, scale, distance, direction, area, etc.; critical reasoning; understanding of charts, graphs, and tables; and basic concepts of statistics and quantitative reasoning.