Overview

Topics covered by this module may include the following:

Sets and Functions: definition of set and function. Polynomial and exponential functions and their graphs. Modelling using exponential functions.

Number systems: integers, rational, real and complex numbers. Arithmetic. Solving quadratic equations.

Calculus: differentiation and integration. Applications, including optimisation, curve sketching and differential equations.

Vectors: definition of a vector, in 2 and 3 dimensions. Vector operations.

Trigonometry. Pythagorean identities and solution of trigonometric equations.

Assessment Strategy

-threshold -Grade D- to D+Demonstrates a basic understanding of the subject but some errors present. Some inaccuracies and misconceptions evident. Limited ability to apply subject knowledge to new or different scenarios. The clarity of information presentation is weak and use of appropriate, subject-specific terminology is limited.

-good -Grade B- to B+A good understanding of the subject matter. Very few inaccuracies and misconceptions evident. Demonstrates ability to apply subject knowledge to new or different scenarios, with few errors. The clarity of information presentation is good and use of appropriate, subject-specific terminology is well-developed. There is evidence of engagement with the wider literature and published information sources.

-excellent -Grade A- and aboveAn excellent understanding of the subject matter with virtually no inaccuracies and misconceptions evident. Demonstrates a very good ability to apply subject knowledge to new or different scenarios, with very few errors. The clarity of information presentation is excellent and use of appropriate, subject-specific terminology is very well developed. There is evidence of engagement with the wider literature and published information sources.

-another level-Grade C- to C+A clearer understanding of the subject matter. Demonstrates ability to apply subject knowledge to new or different scenarios, but with some errors. The clarity of information presentation is acceptable and use of appropriate, subject-specific terminology is developing. There is evidence of some limited engagement with the wider literature and published information sources.

Learning Outcomes

• Apply mathematical principles to different subject areas.

• Demonstrate an accurate understanding of higher mathematical principles and concepts.

• Demonstrate an understanding of and ability to employ appropriate methods in mathematics.

• Present information clearly and logically using specialist vocabulary.