Designed for the new IB syllabus for first examination in 2008. From 2008 examinations their will be Paper 1 (no calculator) and paper 2 (GDC allowed). For sample tests of Paper 1 and Paper 2 please follow the links.

Click on the links to view learning objectives, resources, and notes on all levels of the syllabus.

The course is assessed by:
Internal Assessment - IA or coursework - 20%
Paper 1 the non-calculator paper 30%
Paper 2 GDC required paper 30%
Paper 3 Option paper (with GDC) 20%

Functions and algebra
Quadratics equations and completing the square; graphing functions; domains and range; binomial expansions; permutations and combinations; logarithms and e; progressions (series); transformations of curves; mathematical induction; factor and remainder theory; inequalities; complex numbers.

Trigonometry
The sine and cosine rule; area of a triangle; angles from 0 to 360 degrees; radian measure, including arc length and sector area; the unit circle; transformations of sine and cosine curves; reverse trig graphs; applications of trig curves; trigonometric identities, including sec, cosec, cot and compound angle.

Matrices
Definition; matrices and algebra; determinants and inverses of 2x2 and 3x3 matrices; finding 3 unknowns using matrices; conditions for solutions.

Vectors
Concepts; unit vectors; position vectors; addition, subtraction, multiplication by a scalar; magnitude; 3-d vectors; scalar product of 2 vectors; vector equation of a line; vector lines, coincident, skew, parallel, and intersecting; cross product of vectors; vector equation of a plane; intersecting lines and planes.

Calculus
Simple differentiation; graphs of derivatives; gradient function, tangents and normals; chain rule; product and quotient rules; kinetics (movement); turning points, maximum and minimum, points of inflexion; simple integration; definite integration; volumes of revolution; implicit differentiation; first order differential equations; partial fractions; integration by substitution; integration by parts.

Statistics and probability
Data, concept of populations and sample; means and range, including standard deviation; cumulative frequency curves; box and whisker plots; simple probability and complementary events; combined events; conditional probability; Bayes theorem; Venn diagrams; independent and mutually exclusive events; discrete probability distributions; binomial distributions; normal distributions; poisson distribution; probability density functions.