Advanced Higher Maths
The course seeks to give students a broad background of Mathematics. It is designed to meet the needs of those going into a wide variety of courses, as well as preparing students for further studies in Mathematics. For this reason the course embraces both Pure and Applied Mathematical topics. Some use of Numerical Methods, an introduction to Statistics and several applications in Mechanics are included so that students can meet these important strands of Mathematics without necessarily taking one of the specialised courses in these topics.
Topics are studied in the following areas:
- Algebra: Inequalities, Pascal’s Triangle, the Binomial Theorem, Partial Fractions, Complex Numbers, Matrices, Probability and Statistics and General Algebraic Techniques.
- Mechanics: Vectors, Force and Newton’s Laws, Resultants and Components of Forces, Resultant Velocity, Relative Velocity, Projectiles and Differential Equations.
- Calculus: Differentiation, Integration, Sequences, Series, Recurrence and Functions.
The main textbook is ‘Maths In Action – Advanced Higher Maths.’
Departmental worksheets are also in use.
The ideas and skills acquired in previous years are consolidated and developed throughout the course with the aim of providing students with the Mathematics necessary for practical problem solving. A number of coursework tasks have been prepared, and these provide the basis for students to learn via investigative approaches.
Homework is set after each lesson. It is expected that students should research and carry out more than the minimum allotted tasks.
Assessments take place in November and the prelim examination is in February.
There are many opportunities for the use of Paper 1 Maths, especially in year 1 of a University course involving the sciences or maths.