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.
*New* AH Flashcards
To print select 2sided print and Flip on long edge on you printer.
AH Flashcards Updated 29/1/18
Course Outline
TERM – JUNE 
TOPIC 
RESOURCES 
Differentiation 1  Differentiation 1 Summary 
Euclidean Algorithm & Number Bases  Division & Euclidian Algorithm & Number Bases Summary 
Matrices & Gaussian Elimination  Matrices and Gaussian Elimination Summary 
TERM – AUGUST to OCTOBER 
TOPIC 
RESOURCES 
Binomial Theorem  Binomial Theorem Summary 
Differentiation 2  Differentiation 2 Summary 
Differentiation Problems in Context  Differentiation in Context 
Vectors  Vectors Summary 
TERM – OCTOBER to DECEMBER 
TOPIC 
RESOURCES 
Unit 1 Assessment  Assessment 
Partial Fractions  Partial Fractions Summary

Integration  Integration Summary 
Complex Numbers  Complex Numbers Summary 
Differential Equations  Differential Equations Summary 
Term 
Topics 
Resources 
August – October 
Binomial Theorem 
Binomial Theorem Summary 
Differentiation 2 
Differentiation 2 Summary  
Differentiation Problems in Context 
Differentiation in Context  
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 
Functions Summary  
AH Unit 3 Assessment 
Assessment 
Formulae List
Advanced Higher Formulae in the Course