The Units

To complete the AS: Use of Mathematics students need to complete 3 of the 5 units:

• Working with algebraic and graphical techniques (compulsory)
• Modelling with calculus (optional)
• Using and applying statistics (optional)
• Using and applying decision mathematics
• Applying mathematics (compulsory terminal unit)

Working with algebraic and graphical techniques
In this compulsory unit students:

• model their own data with appropriate functions
• investigate functions commonly used to model real situations using graphing and analytical techniques.

Full specifications and can be downloaded from the AQA website.

Modelling with calculus
In this optional unit students use:

• differentiation
• integration
• differential equations
  to analyse, make sense of and solve problems in real situations.
  This includes the use of numerical methods and comparison with analytical methods.
  Full specifications can be downloaded from the AQA website.

Using and applying statistics
In this optional unit students:

• develop a critical approach to the use of statistics in the real world
• learn about statistical measures and diagrams
• develop an understanding of key ideas involving the distribution of data, correlation and regression
• report on investigations they carry out.
  Full specifications can be downloaded from the AQA website.

Using and applying decision mathematics
In this optional unit students:

• develop a critical approach to the use of networks when used to describe and make sense of the world
• learn about algorithms
• develop an understanding of key ideas about modelling real world situations

Full specifications can be downloaded from the AQA website.

Applying mathematics
Whilst studying this compulsory unit students learn to:

• understand how mathematics can be used to model real situations;
• use simulation to develop mathematical models for random events;
• extend, develop and use a range of algebraic, graphical and numerical techniques when modelling real situations;
• appreciate that general mathematical principles may be applicable in a range of different contexts;
• make sense of mathematics written by others;
• work accurately, structure mathematical arguments carefully and communicate mathematics clearly.

Applying mathematics can be studied alongside the other units. This will allow students to develop the process skills of mathematical modelling, comprehension and communication that are at the heart of this unit as they apply mathematical principles in their work for the other two units.

Full specifications for this unit can be downloaded from the AQA website.