Advanced Higher Maths

ADVANCED HIGHER MATHEMATICS

What is Advanced Higher Maths?
Mathematics at Advanced Higher provides the foundation for many developments in the sciences and in technology as well as having its own intrinsic value.
It is made up of three units of work:

Methods of Algebra and Calculus
Applications of Algebra and Calculus
Geometry, Proofs and Systems of Equations

The 3 units are mandatory and the course is assessed by an SQA. Currently, the exam is one 3-hour paper. For session 2019-2020, the exam will consist of 2 papers; a 1-hour non-calculator paper and a 2 hour 30 minute calculator paper.

Pupils studying Advanced Higher Maths will develop the following skills:

select and apply complex mathematical techniques in a variety of mathematical situations, both practical and abstract
extend and apply skills in problem solving and logical thinking
extending skills in interpreting, analysing, communicating and managing
information in mathematical form, while exploring more advanced techniques
clarify their thinking through the process of rigorous proof

The course develops and expands a range of mathematical skills. It allows the learner to develop further skills in calculus and algebra. Areas such as number theory (which helps keep the internet secure), complex numbers (the uses of which are ubiquitous, ranging from the solution of equations to the description of electronic circuits) and matrices (used in game theory and economics) are introduced. The learner’s mathematical thinking will also benefit from examples of rigorous proof.

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notebook_1_2020.pdfCourse Resources
The principle course resources are the Course Notebooks and Course Textbooks. Notebooks contain the key learning points, worked examples and past exam question exercises. The textbooks provide further examples and practice exercises.

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COURSE NOTEBOOKS
The course notebooks include worked examples.

NOTEBOOK 1
Binomial Theorem, Partial Fractions and Differentiation

NOTEBOOK 2
Sequences & Series, Complex Numbers, Systems of Equations and Matrices

NOTEBOOK 3
Vectors, Integration and Differential Equations

NOTEBOOK 4
Functions and Graphs, Applications of Calculus, Mathematical Proof and Number Theory

COURSE TEXTBOOKS
The course textbooks are where you will find practise questions.

TEXTBOOK 1
Binomial Theorem, Partial Fractions, Differentiation, Sequences & Series and Complex Numbers

TEXTBOOK 2
Systems of Equations and Matrices
Vectors, Integration and Differential Equations

TEXTBOOK 3
Functions and Graphs, Applications of Calculus, Mathematical Proof and Number Theory

Video tutorials for many examples are available on the StAnd YouTube channel.
Other resources are provided via the class Edmodo page.

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AH Course Notes
File Size:	1104 kb
File Type:	pdf

ah_maths_trig_identities
File Size:	143 kb
File Type:	ah maths trig identities

ah_maths_standard_derivatives
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File Type:	ah maths standard derivatives

ah_maths_standard_integrals
File Size:	373 kb
File Type:	ah maths standard integrals

SQA AH Maths Past Papers by Topic Grid
File Size:	346 kb
File Type:	pdf

AH Maths Formulae

AH Maths Specimen Paper

SQA AH Maths Past Papers by Topic Grid

AH Maths 2015

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AH Maths SQA Mixed Questions

AH Maths Past Papers Solutions You Tube

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