Volume 1
Algebra, functions and geometry
The first half of the syllabus, covering everything you need to handle confidently before calculus starts.
Quadratics
Completing the square, the discriminant, quadratic inequalities, solving simultaneously with a linear equation, and equations reducible to quadratic form.
Functions
Domain and range, composite and inverse functions, and the graphs that go with them, including transformations.
Coordinate geometry
Gradients, midpoints and lengths, equations of straight lines, the equation of a circle, and points of intersection.
Circular measure
Radians, arc length and the area of a sector, plus the problems that combine all three.
Trigonometry
Exact values, the sine, cosine and tangent graphs, the identities, and solving trigonometric equations over a given interval.
