Syllabus

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1. Algebra & Functions

• Advanced functions (polynomial, rational, exponential, logarithmic)
• Function transformations
• Inverse functions
• Complex numbers (AA HL)

 2. Calculus (Major Focus)

• Differentiation (advanced rules)
• Applications of derivatives (maxima, minima, optimization)
• Integration (basics to applications)
• Area under curves

 3. Statistics & Probability

• Probability distributions
• Normal distribution
• Binomial distribution
• Hypothesis testing (HL level intro)

 4. Trigonometry

• Advanced trigonometric identities
• Trigonometric equations
• Graphs of trig functions

 5. Vectors (Mainly AA)

• Vector operations
• Scalar (dot) product
• Applications in geometry

 6. Mathematical Modelling (AI focus)

• Real-life data analysis
• Regression (linear, exponential)
• Technology-based calculations

 7. Internal Assessment (IA)

• Maths Exploration (project work)
• Real-life application based research
• 20% weightage in final score

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