Required skill:

Demonstrate knowledge of key mathematical concepts and topics, both explicitly and by applying them to the solution of problems.

Required competencies:

Cognitive skills
Analysis, judgement, attention to detail		 Generic competencies
Personal capabilities
Decisiveness		 Technical ability
Business awareness Practical elements

Required skill:

Comprehend problems, abstract the essentials of problems and formulate them mathematically and in symbolic form so as to facilitate their analysis and solution, and grasp how mathematical processes may be applied to them, including where appropriate an understanding that this might give only a partial solution.

Required competencies:

Cognitive skills
Analysis, judgement, attention to detail		 Generic competencies
Personal capabilities Technical ability
Business awareness Practical elements

Required skill:

Select and apply appropriate mathematical processes.

Required competencies:

Cognitive skills
Judgement, attention to detail		 Generic competencies
Personal capabilities
Decisiveness		 Technical ability
Business awareness Practical elements

Required skill:

Present their mathematical arguments and the conclusions from them with accuracy and clarity.

Required competencies:

Cognitive skills
Analysis, judgement, attention to detail		 Generic competencies
Written communication, listening, questioning
Personal capabilities Technical ability
Business awareness Practical elements

Required skill:

Pure mathematics will have skills relating particularly to rigorous argument and solving problems in generality, and facility with abstraction including the logical development of formal theories;

Required competencies:

Cognitive skills
Analysis, judgement, attention to detail		 Generic competencies
Personal capabilities
Decisiveness		 Technical ability
Business awareness Practical elements

Required skill:

Physical applied mathematics or theoretical physics will have skills relating particularly to formulating physical theories in mathematical terms, solving the resulting equations analytically or numerically, and giving physical interpretations of the solutions;

Required competencies:

Cognitive skills
Analysis, judgement, attention to detail		 Generic competencies
Personal capabilities
Decisiveness		 Technical ability
Business awareness Practical elements

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