Mathematics

The IIT JEE Mathematics syllabus covers a wide range of topics from algebra, calculus, coordinate geometry, trigonometry, and more. Below is a comprehensive list of topics typically included in the syllabus:

1. Algebra:

   • Complex numbers
   • Quadratic equations and expressions
   • Sequence and series
   • Permutations and combinations
   • Binomial theorem
   • Matrices and determinants

2. Coordinate Geometry:

   • Straight lines and pair of straight lines
   • Circles and conic sections (parabola, ellipse, hyperbola)
   • Three-dimensional geometry

3. Calculus:

   • Functions, limits, and continuity
   • Differentiation and applications of derivatives
   • Methods of differentiation (chain rule, implicit differentiation, etc.)
   • Integration and its applications
   • Definite and indefinite integrals
   • Differential equations

4. Trigonometry:

   • Trigonometric functions and identities
   • Trigonometric equations
   • Inverse trigonometric functions
   • Properties of triangles

5. Vectors and 3D Geometry:

   • Vectors in two and three dimensions
   • Scalar and vector products
   • Lines and planes in space

6. Mathematical Reasoning:

   • Mathematical induction
   • Sets, relations, and functions
   • Statistics and probability

7. Miscellaneous Topics:

   • Mathematical logic
   • Complex numbers as roots of unity
   • Arithmetic progression and geometric progression