IIT Mains - Anmol Patial

📌 Module 1: Fundamentals of Mathematics

• Number systems

• Basic algebraic operations

• Polynomials and factorization

• Linear equations and inequalities

• Quadratic expressions

• Introduction to coordinate geometry

• Basic trigonometry

📌 Module 2: IIT Foundation Mathematics

• Strengthening core mathematical logic

• Problem-solving techniques

• Analytical thinking exercises

• Pre-algebra and advanced number theory

• Geometry basics and constructions

• Mathematical reasoning

• Early exposure to JEE-style questions

📌 Module 3: Algebra for IIT

• Complex numbers

• Sequences and series

• Binomial theorem

• Permutations and combinations

• Matrices and determinants

• Quadratic equations & applications

• Inequalities & modulus concepts

• Functions and graphs

📌 Module 4: Calculus for IIT-JEE

• Limits and continuity

• Differentiation basics to advanced

• Applications of derivatives

• Indefinite & definite integrals

• Differential equations fundamentals

• Area under curves

📌 Module 5: Coordinate Geometry

• Straight lines

• Circle, parabola, ellipse, hyperbola

• Pair of lines

• Standard form equations

• Distance formula, section formula

• Locus and transformations

📌 Module 6: Trigonometry & Applications

• Trigonometric ratios and identities

• Equations & inverse trigonometry

• Heights and distances

• Properties of triangles

• Advanced trigonometric transformations

📌 Module 7: Vector Algebra & 3D Geometry

• Basics of vectors

• Dot product and cross product

• Plane and line equations

• Direction ratios & direction cosines

• 3D geometry application-based problems

📌 Module 8: IIT Problem-Solving Techniques

• Time management for JEE

• Shortcut methods & tricks

• Solving previous years' IIT-JEE questions

• Mock tests & chapter-wise assessments

• High-difficulty problem practice

• Strategy for complex multi-step problems

📌 Module 9: IIT Foundation for Class 8–10 Students

• Strengthening conceptual clarity

• Logical reasoning

• Olympiad-level practice

• Speed-building exercises

• Daily worksheets and quizzes

• Conceptual bridging to Class 11 Maths

📌 Module 10: Full-Length Practice Tests

• JEE pattern mock tests

• Foundation-level tests

• Chapter-wise tests

• Detailed performance reports

• Personalized improvement plan