Table of Contents
Explore the JEE Main Mathematics Syllabus 2024, a crucial resource for effective exam preparation. The National Testing Agency (NTA) has officially released the JEE Main 2024 Mathematics syllabus, accessible online through the JEE Main 2024 Exam information booklet. To enhance your JEE preparation, it is recommended to refer to the JEE Main syllabus with weightage PDF, enabling you to focus on key topics. Fix to the IIT JEE Main Mathematics syllabus 2024 is essential for success. Additionally, download the top JEE Main 2024 preparation book for a full study approach.
JEE Main Mathematics Syllabus Updated by NTA for 2024 (Part-1) | |
Unit | Topics |
UNIT 1: SETS, RELATIONS, AND FUNCTIONS: | Sets and their representation: algebraic features of sets’ union, intersection, and complement; Power set: relationship, kind of relationship, equivalency relation, functions: one-to-one, into-and onto-function, function composition. |
UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS: | Complex numbers, written as a + ib, are represented as ordered pairs of real numbers on an Argand diagram. This diagram helps visualize their magnitude and direction. The algebra of complex numbers involves basic operations, and quadratic equations can have solutions in both real and complex number systems. Understanding the relationship between roots and coefficients, as well as the nature of roots, is crucial in forming quadratic equations with given roots. |
UNIT3: MATRICES AND DETERMINANTS: | Explore matrix algebra, covering matrix types, determinants, and matrices of orders two and three. Dive into determinant evaluation, applying it to find areas of triangles. Discover the adjoint and inverse of matrices using determinants, essential for solving simultaneous linear equations. Unveil the power of matrices in mathematical applications. |
UNIT 4: PERMUTATIONS AND COMBINATIONS: | The core concept of counting principles involves permutations, representing arrangements, and combinations, signifying selections. “P(n, r)” denotes permutations, while “C(n, r)” signifies combinations. These concepts find practical application in various scenarios, demonstrating their relevance in solving real-world problems. |
UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS: | Expanding the binomial theorem for a positive whole number exponent involves finding the general term and middle term. Explore practical applications of the binomial theorem in various scenarios. |
UNIT 6: SEQUENCE AND SERIES: | Arithmetic and geometric progressions, inserting arithmetic or geometric means between two specified values, and exploring the connection between arithmetic mean (A.M) and geometric mean (G.M). Unlock the secrets of progression insertion and the A.M-G.M relationship. |
UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY: | Analyzing real-valued functions, exploring the algebraic properties of functions including polynomials, rationals, trigonometrics, logarithmic, and exponential functions. Investigating inverse functions and graphing simple functions. Studying limits, continuity, and differentiability. Deriving functions involving sums, differences, products, and quotients. Differentiating trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions up to the second order. Applying derivatives to determine rates of change, identify monotonicity, and locate maxima and minima in single-variable functions. |
UNIT 8: INTEGRAL CALCULAS: | Explore the world of integration by diving into fundamental techniques encompassing algebraic, trigonometric, exponential, and logarithmic functions. Master the art of integration through substitution, partial fractions, and integration by parts. Uncover the power of trigonometric identities for seamless integration. Conquer the evaluation of integrals like β« ππ₯ π₯^2+π^2 and β« ππ₯ βπ₯^2 Β± π^2, along with complex expressions such as β« (ππ₯+π)ππ₯ ππ₯^2+ππ₯+π. Grasp the essence of the fundamental theorem of calculus and harness the properties of definite integrals. Elevate your skills in determining areas bounded by standard-form curves. Unleash the potential of integration in its diverse forms for a comprehensive understanding of mathematical landscapes. |
UNIT 9: DIFFRENTIAL EQUATIONS | Differential equations, their order, and degree, solving them through separation of variables, and addressing homogeneous linear equations such as ππ¦/ππ₯ + π(π₯)π¦ = π(π₯). Explore techniques for resolving these mathematical expressions efficiently. |
UNIT 10: CO-ORDINATE GEOMETRY | Analytical geometry concepts include the Cartesian coordinate system, distance formula, section formula, locus, slope of a line, parallel and perpendicular lines, intercepts on coordinate axes, various forms of line equations, intersection of lines, angles between lines, conditions for three lines to intersect, distance from a point to a line, centroid and orthocentre coordinates of a triangle. Circle equations, conic sections (parabola, ellipse, hyperbola) in standard forms, general equations of a circle, and finding circle parameters from diameter endpoints. Mastering these principles is essential for understanding and solving geometric problems. |
UNIT 11: THREE-DIMENSIONAL GEOMETRY | A point’s coordinates in space, the separation between two points, section formulas, directions cosines, and ratios, and the angle formed by two crossing lines. Skewed lines: their equation and the shortest path between them. formulas for a line |
UNIT 12: VECTOR ALGEBRA | Scalars and vectors, vector addition, two- and three-dimensional vector components, scalar and vector products, plus |
UNIT 13: STATISTICS AND PROBABILITY | Data Analysis Techniques: Mean, Median, and Mode for Grouped and Ungrouped Data are Used to Evaluate Variability and Central Tendency. Calculating Mean, Standard Deviation, and Variance for Both Grouped and Ungrouped Data. Concepts related to probability include Bayes’ Theorem, event probability, addition and multiplication probability theorems, and probability distribution for random variables. |
UNIT 14: TRIGONOMETRY | Explore essential concepts in trigonometry, including identities and functions. Delve into inverse trigonometric functions and uncover their properties. Unleash the power of trigonometry with insightful details on functions and their inverses. |
NTA Revised JEE Main Maths Syllabus 2024 (Part-II)
JEE Main Maths Syllabus 2024 (Part-II) NTA Updated Unit-1 Aptitude Test | |
Analytical Reasoning | Mental Ability (Visual. Numerical and Verbal), |
Awareness of persons. | Structures, Materials, Artefacts, and Textures Associated with the Built Environment, |
converting two-dimensional drawings into three-dimensional objects. | Imagining. various faces of objects in three dimensions. |
NTA Updated JEE Main Maths Syllabus 2024 (Part-II) UNIT β 2 Three dimensional- perception | |
Recognising and appreciating an object’s scale and dimensions | building forms and elements, |
Subtraction rotation | development of surfaces and volumes, |
3D views of objects, | utilising predetermined shapes and forms to create two- and three-dimensional compositions. . |
Harmony, contrast, and colour texture Creating and sketching in pencil geometric or abstract forms and patterns | 2D and 3D form transformation and union, |
Generation of plans | elevations |
NTA Updated JEE Main Maths Syllabus 2024 (Part-III)
Syllabus for JEE Main Mathematics 2024: Unit 1: General Awareness | |
Questions about general knowledge and familiarity with well-known cities | development issues, |
government programs, etc. |
Syllabus for JEE Main Math 2024: UNIT-2 Social Sciences | |
The idea of nationalism | in Indiaβs |
colonialism, | colonial cities, industrialization, |
pre-modern world, | 19th-century global economy, |
resources, and development | types of resources, agriculture, water, mineral resources, industries, national economy; 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, colonial cities, |
JEE Main Maths Syllabus 2024 : UNIT-3 THINKING SKILLS | |
Comprehension (unseen passage); | map reading skills |
understanding of charts, graphs, and tables; | basic concepts of statistics and quantitative reasoning. |
scale, distance, direction, area, etc | critical reasoning |
Topics Removed From the JEE Main 2024 Math Syllabus
Unit-wise, JEE Main 2024 Mathematics Syllabus Deleted Topics | |
UNIT | Topics |
Unit 2 : Complex Numbers and Quadratic Equations | Square Root of a Complex Number, Triangle Inequality |
Unit 3: Matrices and Determinants | Evaluation of determinants, Elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants |
Unit 5: Mathematical Induction | Principle of Mathematical Induction and its simple applications. |
Unit 6: Binomial Theorems and its Simple Applications | Properties of Binomial Coefficients |
Unit 7: Sequences and Series | Sum up to n terms of special series; Sn, Sn2, Sn3, Arithmetico-Geometric progression |
Unit 8: Limits, Continuity and Differentiability | Rolleβs and Lagrangeβs Mean value Theorems, Tangents and normal |
Unit 9: Integral Calculus | Integral as a Limit of Sum |
Unit 10: Differential Equations | The formation of differential equations |
Unit 11: Coordinate Geometry | Equations of internal and external by sectors of angles between two lines coordinate of the centroid, Equation of the family of lines passing through the point of intersection of two lines, Equation of the tangent, Translation of Axes, Orthocenter, and circumcenter of a triangle, Condition for a line to be tangent to a circle, Condition for Y = mx +c to be a tangent and point (s) of tangency |
Unit 12: Three Dimensional Geometry | The intersection of a line and a plane, Equation of a plane in different forms, Coplanar lines |
Unit 13: Vector Algebra | Scalar and vector triple product |
Unit 14: Statistics and Probability | Bernoulli trials, and binomial distribution |
Unit 15: Trigonometry | Heights, and distance |
Unit 16: Mathematical Reasoning | converse, and contrapositive, Statement logical operations and, or, implies, implied by, if and only if, Understanding of tautology |
JEE Main 2024 Mathematics Syllabus for Effective Exam Preparation
In the pursuit of success in the JEE Main examination, where Mathematics holds significant weight with 100 marks, strategic preparation is paramount. Excelling in this subject is not only crucial for a high overall score but also requires a focused study plan.
To optimize your preparation, it’s essential to identify and prioritize pertinent topics, steering clear of irrelevant concepts. For your convenience, we have compiled a comprehensive list of crucial Mathematics topics within the JEE Main syllabus. Make sure to leverage this guide for efficient revision and targeted study sessions.
Onto Functions | Derivatives | Statistics |
Relation and Its Types | Continuity and Differentiability | Probability and Statistics |
Onto Functions | Derivatives | Statistics |
Complement of a Set | Polynomials | Dot Product of Two Vectors |
Square Root | Rolle S Theorem | Mean Deviation Frequency Distribution |
Relations and Functions | Differentiation Formulas | Chance and Probability |
Triangle Inequality | Integration | Probability |
Orthogonal Matrix | Properties of Definite Integrals | Multiplication Theorem of Probability |
Singular Matrix | Coordinate Geometry | Average and Mean |
Symmetric Matrix | Definite Integral | Total Probability Theorem |
Symmetric and Skew Symmetric Matrix | Distance Between Two Points | Trigonometry |
Consistent and Inconsistent Systems | General Equation of a Line | Trigonometry Table |
Nature of Roots of a Quadratic Equation | Methods of Integration | Probability Distribution |
Diagonal Matrix | Differential Equation | Geometric Distribution |
Permutation and Combination | Orthocenter | Trigonometric Functions |
Circles | The Circumcenter of a Triangle | Height and Distance |
Vertical Angles | Parallel Lines | Statements in Mathematical Reasoning |
JEE Main Mathematics Exam Effective Strategies and Tips for Excelling
Optimal Strategies and Guidelines for Excelling in JEE Main Mathematics Exam. Achieving success in the JEE Main Mathematics exam demands a well-organized approach and a deep comprehension of core concepts. Here are key tips for effective preparation:
- Establish a Solid Foundation: Strengthen your mathematical skills by mastering fundamental concepts in arithmetic, algebra, geometry, and trigonometry. Building a strong base is crucial for tackling more complex problems.
- Comprehend and Revise Concepts: Delve into textbooks and study materials to gain a profound understanding of each topic. Take comprehensive notes and create concise summaries highlighting essential formulas, theorems, and concepts for effective review.
- Consistent Practice: Regular and disciplined practice is indispensable for success in mathematics. Solve a diverse range of problems from various sources, including previous year question papers, sample papers, and mock tests to enhance your problem-solving skills.
- Solve Previous Years’ Papers: Familiarize yourself with the exam pattern and question types by solving previous years’ papers. This practice will not only boost your confidence but also provide insights into the level of difficulty you can expect.
- Master Formulas and Efficient Techniques: Commit important formulas, theorems, and shortcut techniques to memory. These aids can significantly enhance your problem-solving speed during the exam. However, ensure a solid grasp of underlying concepts and avoid relying solely on shortcuts.
FAQ’s on JEE Main Maths Syllabus 2024
What are the key changes in the JEE Main Mathematics Syllabus for 2024?
The significant changes in the JEE Main Mathematics Syllabus for 2024 include the addition of new units such as Aptitude Test, Three-dimensional Perception, General Awareness, Social Sciences, and Thinking Skills. Additionally, certain topics from units like Complex Numbers and Quadratic Equations, Matrices and Determinants, Mathematical Induction, Binomial Theorem, and others have been removed. It's crucial to stay updated with these changes for effective exam preparation.
Which units and topics hold the highest weightage in the JEE Main 2024 Mathematics Syllabus?
While all units are important, certain topics carry higher weightage in the JEE Main 2024 Mathematics Syllabus. These include topics like Limits, Continuity, and Differentiability, Integral Calculus, Coordinate Geometry, Three-Dimensional Geometry, Vector Algebra, and Statistics and Probability. Prioritize these areas in your preparation to maximize your overall score.
Are there any specific preparation books recommended for the JEE Main 2024 Mathematics Syllabus?
Yes, a comprehensive study approach involves using the right preparation books. The JEE Main 2024 Mathematics Syllabus can be effectively covered using books like IIT Mathematics by M.L. Khanna, Higher Algebra by Hall and Knight, and Objective Mathematics by R.D. Sharma. These books provide in-depth coverage of the topics and practice questions for better understanding.
How can I effectively prepare for the new units added in the JEE Main Mathematics Syllabus for 2024?
To prepare for the new units like Aptitude Test, Three-dimensional Perception, General Awareness, Social Sciences, and Thinking Skills, focus on understanding the fundamental concepts. Use relevant study materials, practice questions, and engage in regular mock tests to familiarize yourself with the question patterns. Additionally, seek guidance from teachers or mentors for these non-traditional topics.
What are the key tips for excelling in the JEE Main Mathematics Exam based on the 2024 syllabus?
Success in the JEE Main Mathematics exam requires a solid foundation, consistent practice, and effective strategies. Ensure a strong grasp of fundamental concepts, regularly revise, and practice diverse problem sets. Solve previous years' papers to understand the exam pattern and focus on mastering important formulas and shortcut techniques. Establish a disciplined study routine and seek help from teachers or coaching if needed.