mathematics class 10,11 - Avijit Das

Module 1: Foundations of Mathematics (All Levels)

• Number systems

• Algebra basics

• Polynomials & factorization

• Linear equations & inequalities

• Graphical understanding

Module 2: Class 10 Mathematics

Algebra

• Quadratic equations

• Arithmetic progression

• Linear equations in two variables

Geometry

• Triangles & similarity

• Circles

• Constructions

Trigonometry

• Trigonometric ratios

• Heights & distances

Mensuration

• Surface area and volume

Statistics & Probability

• Mean, median, mode

• Probability basics

Module 3: Class 11 Mathematics

Sets, Relations & Functions

• Set theory

• Types of relations

• Functions & domain–range

Algebra Adv.

• Complex numbers

• Binomial theorem

• Permutations & combinations

• Sequence & series

Coordinate Geometry

• Straight lines

• Conic sections

• 2D geometry concepts

Calculus Basics

• Limits and continuity

• Introduction to differentiation

Statistics & Probability Adv.

• Probability distribution

• Conditional probability

Module 4: A & AS Level Mathematics

Pure Mathematics

• Quadratics & inequalities

• Coordinate geometry

• Trigonometric identities

• Differentiation & integration (core concepts)

• Vectors

Mechanics

• Kinematics

• Newton’s laws

• Forces and equilibrium

Statistics

• Sampling

• Data representation

• Probability & distributions