📘 Module 1: Foundation Concepts & Mathematical Thinking

• Number systems

• Algebraic expressions

• Basic functions & graphs

• Logical reasoning & mathematical proofs

• Inequalities and equations

• Problem-solving strategies

📗 Module 2: Class 11 CBSE Mathematics (Full Syllabus)

1. Sets, Relations & Functions

• Types of sets

• Venn diagrams

• Relations & types

• Functions & domain-range

2. Trigonometric Functions

• Trigonometric ratios

• Graphs & identities

• Trigonometric equations

3. Algebra

• Complex numbers

• Quadratic equations

• Sequences & series

• Permutation & combination

• Binomial theorem

4. Coordinate Geometry

• Straight lines

• Conic sections (parabola, ellipse, hyperbola)

• Distance & section formulas

5. Calculus (Introductory)

• Limits & continuity

• Derivatives basics

6. Statistics & Probability

• Measures of dispersion

• Probability concepts

📙 Module 3: Class 12 CBSE Mathematics (Full Syllabus)

1. Relations & Functions

• Inverse trigonometric functions

• Types of relations & functions

2. Algebra

• Determinants

• Matrices

• Matrix operations & properties

3. Calculus (Advanced)

• Differentiation & applications

• Increasing/decreasing functions

• Maxima & minima

• Integrals & applications

• Differential equations

4. Vectors & 3D Geometry

• Vector algebra

• Direction cosines

• 3D geometry: lines & planes

5. Linear Programming

• Formulation

• Graphical method

6. Probability

• Conditional probability

• Bayes' theorem

• Probability distributions

📘 Module 4: H2 Mathematics (Advanced Level Programme)

H2 Math (Cambridge/Singapore syllabus) goes deeper into application-based and proof-based learning.

1. Functions & Graphs

• Modulus, exponential, logarithmic

• Graph transformations

• Inequalities

2. Calculus

• Advanced differentiation

• Integration techniques

• Curve sketching

• Optimization

• Differential equations

3. Algebra

• Mathematical induction

• Complex numbers (Argand diagram)

• Sequences & series

• Binomial and Maclaurin series

4. Vectors

• 3D vector geometry

• Lines, planes & intersections

5. Probability & Statistics

• Probability distributions

• Poisson, normal distributions

• Sampling

• Hypothesis testing