JEE MATHS - Sumeet Singh

1. IIT JEE Mathematics (Main + Advanced)

Algebra

• Quadratic equations

• Complex numbers

• Sequences & series

• Binomial theorem

• Matrices & determinants

• Permutations & combinations

Coordinate Geometry

• Straight lines

• Conic sections: parabola, ellipse, hyperbola

• Circles

• Pair of lines

Calculus

• Limits, continuity & differentiability

• Applications of derivatives

• Indefinite & definite integrals

• Differential equations

• Area under curves

Vectors & 3D Geometry

• Scalar & vector products

• Direction cosines

• 3D geometry for JEE Advanced level

Trigonometry

• Trigonometric functions

• Heights & distances

• Inverse trigonometric functions

JEE Advanced Problem Solving

• Multi-concept questions

• Integer-type & match-the-following problems

• Time-based practice

• Strategy lessons for tricky questions

Outcome: Strong conceptual mastery + high-scoring problem-solving skill for IIT JEE.

2. Mathematics for JEE Mains

(Focused on NCERT + exam patterns)

• Formula-based question solving

• MCQs & short tricks

• Previous years’ question practice

• Speed-building techniques

• Exam pattern simulation tests

Outcome: Excellent accuracy and speed for JEE Main scoring.

3. A & AS Level Mathematics

Pure Mathematics

• Algebra & functions

• Coordinate geometry

• Trigonometry

• Sequences & series

• Differentiation & integration

Mechanics

• Kinematics

• Newton’s laws

• Forces & motion

• Work, energy & power

Statistics

• Data representation

• Probability

• Discrete random variables

• Normal distribution

Outcome: Full mastery of A/AS Level Cambridge curriculum.

4. Core Mathematics Skills Development

• Logical reasoning

• Mathematical thinking

• Step-by-step problem solving

• Error reduction methods

• Time management strategies