AH Mathematics Home Study

Advanced Higher Mathematics

The Advanced Higher Course extends learners’ mathematical knowledge in algebra, geometry and calculus. It includes matrix algebra, complex numbers and vectors and formalises the concept of mathematical proof. Advanced Higher Mathematics emphasises the need for candidates to undertake extended thinking and decision making, to solve problems and integrate mathematical knowledge. The course offers candidates, in an interesting and enjoyable manner, an enhanced awareness of the range and power of mathematics. The Advanced Higher Mathematics Course is at SCQF level 7. The SQA link for AH Maths is http://www.sqa.org.uk/sqa/39094.html

If you are considering applying to The University of  Cambridge to read Mathematics it is essential to study Mathematics at Advanced Higher level, please click University of Cambridge to read their guidance notes for Scottish Applicants.

The KEY to achieving a pass in Advanced Higher is to regularly work on the past paper questions below, checking your answers as you go. Always ask for help if you are unsure. Being organised is also hugely beneficial – print out the past paper questions & solutions and put them neatly into an A4 folder – try the questions out, check your answers and also put your neatly written out solutions in the folder – this folder will be the passport to your success in Advanced Higher Maths. The earlier you start this process the better – in other words, start now!! 

It is essential that you purchase a good quality scientific calculator and become familiar with how to use its functions several months before the exam – Please bring your calculator to class every day.

Ordering up the Advanced Higher BrightRED Revision book will be an invaluable source of reference to aid your studies.

Course Outline
The course is made up of three units.

Mathematics 1 – Algebra, Differentiation, Integration, Properties of Functions, Systems of Linear Equations

Mathematics 2 – Further Differentiation, Further Integration, Complex Numbers, Sequences & Series, Elementary Number Theory & Methods of Proof

Mathematics 3 – Vectors, Matrix Algebra, Further Sequences & Series, Ordinary Differential Equations, Further Number Theory & Methods of Proof

SQA Advanced Higher Past Papers & Marking Instructions

AH Mathematics Prelim:
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AH Mathematics Mini Prelim:

AH Homework Exercises: – AH Homework Units 1, 2 and 3

AH Course Notes –  Courtesy of Heriott-Watt University
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AH Course Notes – Courtesy of SQA

AH Course Notes – Courtesy of HSN –  Advanced Higher Maths Course Notes

Homework Exercises – AH Homework Units 1, 2 and 3.

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