IIT JEE MATHEMATICS - Deeksha Sharma

Module 1: CBSE Class 11 Mathematics

This module builds the foundational understanding required for both school exams and future competitive exams.

Topics Covered:

• Sets, Relations, and Functions

• Trigonometric Functions

• Complex Numbers and Quadratic Equations

• Linear Inequalities

• Permutations & Combinations

• Straight Lines & Conic Sections

• Limits, Derivatives & Introduction to Calculus

• Statistics & Probability

Outcomes:

• Strengthening school-level concepts

• Improved reasoning and analytical skills

• Development of mathematical discipline for Class 12 and IIT-JEE

Module 2: CBSE Class 12 Mathematics

This module is essential for scoring high in Board Exams and understanding advanced concepts used in IIT-JEE.

Topics Include:

• Relations & Functions

• Inverse Trigonometric Functions

• Matrices & Determinants

• Continuity & Differentiability

• Application of Derivatives

• Integrals & Application of Integrals

• Differential Equations

• Vectors & Three-Dimensional Geometry

• Probability (Advanced)

In-Class Focus:

• NCERT + Extensive additional problem practice

• Board pattern sample papers

• Time management techniques

Module 3: IIT-JEE Foundation (Classes 8–10)

A strong base at school level helps students perform exceptionally in engineering entrance tests.

Topics:

• Pre-Algebra & Algebra

• Geometry & Coordinate Geometry

• Trigonometry Basics

• Mensuration

• Logical Reasoning & Analytical Thinking

• Number Theory

• Higher-Order Thinking Skills (HOTS)

Benefits:

• Smooth transition to JEE-level difficulty

• Builds conceptual clarity early

• Enhances speed and accuracy

Module 4: JEE Main Mathematics

This is an exam-focused module aligned with the latest NTA pattern.

Topics Covered:

• Algebra: Quadratic Equations, Series, Permutations

• Coordinate Geometry: Lines, Circles, Parabola, Hyperbola

• Trigonometry & Inverse Trigonometry

• Calculus: Limits, Derivatives, Integrals

• Vectors & 3D Geometry

• Probability & Statistics

Module 5: JEE Advanced Mathematics

Topics Covered:

• Advanced algebra

• Complex number transformations

• Advanced calculus (multi-step and multi-concept problems)

• Definite integrals & differential equations

• Vector calculus & transformations

• 3D geometry (IIT level)

• Functional equations & tricky problems

• Conceptual linking between topics

Module 6: A & AS Level Mathematics

Topics Included:

• Pure Mathematics

• Mechanics

• Statistics

• Functions, Exponential & Logarithmic Forms

• Differentiation & Integration

• Complex Numbers

• Probability Distributions

• Vectors & Matrices

Module 7: High-Intensity Problem-Solving Sessions

What Students Get:

• Daily practice worksheets

• Weekly chapter tests

• Monthly cumulative tests

• Mock Exams (Boards + JEE Mains + JEE Advanced)

• Discussion of tricky and frequently asked questions