IB Mathematics: Analysis and Approaches SL/HL

Mathematics: Analysis and Approaches (AA) is designed for students who enjoy exploring mathematics through algebra, calculus, and analytical thinking. This course focuses on developing strong mathematical reasoning and problem-solving skills, emphasizing theoretical understanding over practical application.

Core Topics (SL & HL):

1. Number and Algebra

   Arithmetic sequences, exponents, logarithms, binomial theorem, complex numbers (HL)

2. Functions

   Domain/range, transformations, inverse/reciprocal functions, composition, modeling

3. Geometry and Trigonometry

   Trigonometric identities, 3D geometry, circular functions, vectors (in 2D and 3D for HL)

4. Statistics and Probability

   Data representation, distributions, regression, probability distributions (HL includes conditional probability and Bayes' theorem)

5. Calculus

   Limits, derivatives, integration, differential equations (HL includes more complex functions and techniques)