Working through this module will help you to consolidate your existing knowledge before extending your thinking. For more details about the Advanced Problem Solving programme, READ THIS.
This module is about logical thinking and mathematical notation. Mathematicians use lots of notation and shorthand when writing mathematics and it's good to get into the habit of using the correct notation when writing your own mathematics. Logical thinking is at the heart of mathematics, and it's important to have a clear grasp of logical ideas when you are embarking on advanced mathematics examinations.
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Notes on Logic
Some notes to describe the words and symbols which occur in logic
and mathematics
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Some useful mathematical notation
Here is a glossary of common notation used in higher mathematics.
problem
Favourite
Iffy logic
Age
14 to 18
Challenge level
Can you rearrange the cards to make a series of correct mathematical statements?
problem
Mind your Ps and Qs
Age
16 to 18
Challenge level
Sort these mathematical propositions into a series of 8 correct statements.
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Prepare for university - pure mathematics
Helpful preparation for those intending to study a course involving pure mathematics at university.
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Prepare for university - applied mathematics
Helpful preparation for university for those intending to study a
course involving applied mathematics at university.
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NRICH and Olympiads
A useful entry point into the NRICH site for those students interested in Mathematical Olympiad problems or the Maths Challenges.