GROUP 5 - MATHEMATICS HL
This course is designed for very able mathematics students. Students may take this subject because they have a strong interest in mathematics and enjoy meeting the challenges and engaging in its problems. Often students studying this subject will be expecting to include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as engineering, physics and technology.
The course consists of number and algebra: sequences and series, indices and logarithms, mathematical induction and complex numbers; functions and equations: the concept of a function, transformations of graphs and polynomial, exponential and logarithmic functions; circular functions and trigonometry: identities, graphs and their transformations, the addition and double angle formulae and the solution of triangles; vector geometry: position vectors, projections, scalar and vector products and lines and planes; matrices and transformations; univariate and bivariate statistics and probability; calculus: limits, rules of differentiation, applications of differential calculus, antidifferentiation, integration techniques, differential equations and areas under curves. One optional topic is studied and is selected from statistics and probability; sets, relations and groups; calculus; and discrete mathematics.
An individual exploration. This is a piece of written work that involves investigating an area of mathematics. (20%)
Paper 1: (2 hours, 30%)
Paper 2: (2 hours, 30%)
Paper 3: (1 hour, 20%)