What should be the sequence to study maths for iit jee?

START with the basic mathematics. It included logarithm, modules and inequalities. Then comes the basic calculus.(you can avoid this if you have studied it in physics.Then you should START with coordinate geometry. Do straight lines, circles and parabola. Then comes quadratic equations and AP-GP. THEN ellipse and hyperbola. For third phase, you should complete integration and differentiation. Related branches like maxima minima, etc too.Then complete the algebra topics like binomial,.Permutation and combination. Or any other topic left in algebra. Then simple up with graphs. That is all. read less

Studying mathematics for IIT-JEE requires a systematic approach that builds on foundational concepts and progressively tackles more complex topics. Here’s a suggested sequence to study mathematics effectively for IIT-JEE: ### 1. **Basics and Foundation:** Start with the fundamentals to build a strong base. Ensure you understand the basic concepts thoroughly before moving to advanced topics. - **Sets, Relations, and Functions:** Basic operations, types of relations, and functions. - **Complex Numbers and Quadratic Equations:** Algebra of complex numbers, polar form, quadratic equations, and their roots. ### 2. **Algebra:** Algebra forms a significant part of the IIT-JEE syllabus and involves various topics. - **Sequences and Series:** Arithmetic and geometric progressions, harmonic progression, and special series (e.g., sum of squares and cubes of first n natural numbers). - **Permutations and Combinations:** Fundamental principles, factorial notation, and applications. - **Binomial Theorem:** Expansion, general term, and middle term. - **Matrices and Determinants:** Matrix operations, determinants, and their properties. - **Probability:** Basic probability, conditional probability, Bayes' theorem, and random variables. ### 3. **Trigonometry:** Trigonometry is crucial and frequently tested. - **Trigonometric Ratios and Identities:** Basic identities, transformations, and trigonometric equations. - **Inverse Trigonometric Functions:** Their properties and graphs. - **Properties of Triangles:** Sine rule, cosine rule, area of a triangle, and solutions of triangles. ### 4. **Coordinate Geometry:** Geometry topics that blend algebra and geometry concepts. - **Straight Lines and Pair of Straight Lines:** Equations, distance formula, and angle between lines. - **Circles:** Standard equations, tangents, and normal lines. - **Conic Sections:** Parabola, ellipse, and hyperbola - equations and properties. ### 5. **Vectors and 3D Geometry:** - **Vectors:** Operations, dot and cross product, scalar triple product. - **Three-Dimensional Geometry:** Direction cosines, planes, lines, and the shortest distance between skew lines. ### 6. **Calculus:** A significant and complex part of the syllabus, calculus requires careful study and practice. - **Limits and Continuity:** Basic concepts, limits of functions, and continuity. - **Differentiation:** Derivatives, application of derivatives (tangents and normals, rate of change, maxima and minima). - **Integration:** Indefinite and definite integrals, properties, and applications (area under curves, differential equations). - **Differential Equations:** Formation, order and degree, solutions of first-order differential equations. ### 7. **Mathematical Reasoning and Statistics:** - **Mathematical Reasoning:** Statements, logical operations, and implications. - **Statistics:** Measures of central tendency and dispersion, probability distributions. ### Suggested Study Plan: 1. **Daily Schedule:** - Allocate dedicated time slots for mathematics daily. - Mix theoretical study with problem-solving practice. 2. **Practice Regularly:** - Solve problems from NCERT and reference books (e.g., "IIT Mathematics" by M.L. Khanna, "Problems in Calculus of One Variable" by I.A. Maron). - Practice previous years’ IIT-JEE papers and mock tests. 3. **Revision and Mock Tests:** - Regularly revise key concepts and formulas. - Take full-length mock tests to simulate exam conditions and improve time management. 4. **Focus on Weak Areas:** - Identify and spend extra time on weak topics. - Seek help from teachers, peers, or online resources to clarify doubts. ### Recommended Reference Books: - **"Mathematics for Class 11 & 12" by R.D. Sharma** - **"Higher Algebra" by Hall and Knight** - **"Problems in Calculus of One Variable" by I.A. Maron** - **"Coordinate Geometry" by S.L. Loney** - **"Trigonometry" by S.L. Loney** - **"IIT Mathematics" by M.L. Khanna** By following this sequence and maintaining a disciplined study routine, you can build a strong foundation in mathematics and be well-prepared for the IIT-JEE. read less