Advanced Higher Mathematics

AIMS OF COURSE

The course aims to build on previous mathematical skills, knowledge and understanding and enables the integration of knowledge of different aspects of the subject. The course offers depth and breadth of mathematical experience and provides a sound basis for progression to further study or employment in the areas of mathematical and physical sciences, computer science, engineering, biological and social sciences, medicine, accounting, business and management.

Entry to the course

Normally students should have obtained a good pass at Higher Mathematics.

Students who have not obtained an A at Higher Mathematics will find this course very challenging.

Course Outline

The course is made up of three units, Mathematics 1, 2 and 3.

Mathematics 1 includes:

• algebra

• differentiation

• integration

• properties of functions

• systems of linear equations

Mathematics 2 includes:

• further differentiation

• further integration

• complex numbers

• sequences and series

• elementary number theory and methods of proof

Mathematics 3 includes:

• vectors in three dimensions

• matrix algebra

• further sequences and series

• further ordinary differential equations

• further number theory and further methods of proof

Assessment

This course is assessed by internal assessment of Units using materials provided by the SQA and an external examination set and marked by the SQA.

Full details of the course content can be found at www.sqa.org.uk in the Arrangements Documents.