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.
Entry to the course
This is at the discretion of the school, but you would normally be expected to have attained a pass in the Higher Maths Exam.
Course Outline
Term 
Topics 
Resources 
June 
Differentiation 1 
Differentiation 1 Summary 
Euclidian Algorithm 
Division & Euclidian Algorithm Summary  
Matrices & Gaussian Elimination 
Matrices and Gaussian Elimination Summary 
Term 
Topics 
Resources 
August – October 
Binomial Theorem 
Binomial Theorem Summary 
Differentiation 2 
Differentiation 2 Summary  
Differentiation Problems in Context 
Differentiation in Context Summary  
Vectors 
Vectors Summary 
Term 
Topics 
Resources 
October – December 
AH Unit 1 Assessment 
Assessment 
Partial Fractions 
Partial Fractions Summary  
http://www.mathsisfun.com/algebra/partialfractions.html  
Integration 
Integration Summary  
Complex Numbers 
Complex Numbers Summary  
Differential Equations 
Differential Equations Summary 
Term 
Topics 
Resources 
January – March 
AH Unit 2 Assessment 
Assessment 
Arithmetic & Geometric Sequences 
Sequences & Series Summary


Prelim 
Exam  
Proofs 
Proofs Summary  
MacLaurins Series 
MacLaurin Series Summary  
Functions 

AH Unit 3 Assessment 
Assessment 
Formulae List
Advanced Higher Formulae in the Course
Assessment
To gain the overall award students must pass an asessment at the end of each unit as well as an external assessment.
The SQA external exam is a 3 hour paper, a calculator may be used in the exam.
In January pupils will sit a prelim exam that coveres units 1 & 2. Pupils will also sit a topup prelim prelim in Arpil, this will cover a range of topics from units 1, 2 & 3.
Course Summary
Click on the link for a full course summary.
http://www.hsn.uk.net/resources/AdvancedHigherMaths
Past Papers & Marking Instructions
Useful Websites
Course notes, practice exercises and assessments – http://scholar.hw.ac.uk/Scotland/
Past papers & marking instructions – http://www.sqa.org.uk/pastpapers/findpastpaper.htm?subject=Mathematics&level=AH