Ib Board Mathematics - Arun Kumar

1. Number & Algebra

• Sequences & series

• Exponents & logarithms

• Polynomial, rational & exponential functions

• Complex numbers (HL)

2. Functions

• Domain, range & transformations

• Inverse & composite functions

• Trigonometric functions & identities

• Calculus-based function analysis

3. Geometry & Trigonometry

• Trigonometric equations

• Vectors in 2D & 3D

• Scalar & vector products

• Applications in physics & engineering

4. Calculus

• Limits & continuity

• Differentiation & applications

• Integration & applications

• Differential equations (HL)

• Optimization & area/volume problems

5. Statistics & Probability

• Sampling & data analysis

• Normal distribution

• Correlation & regression

• Probability distributions (binomial, Poisson, normal)

• Inferential statistics (HL)