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Year 12 Maths Summer School - Logic and Proof
Experience life as a UCL student by taking part in general university sessions where you will learn about student finance and its repayments, how to write and structure the best personal statement, find out about UCL and what it can offer you.
As well as the above you will also take part in the academic content to help you decide if Maths at UCL is right for you. At the heart of mathematics, we have reasoning and rigour but the ability to convey ideas and write convincing arguments goes beyond mathematics. This course covers the fundamentals of logic and standard mathematical proofs. It naturally builds from interpreting and creating logical statements, to thinking critically and identifying errors in deductions, leading to being able to construct mathematically sound proofs. You can find a short list of topics below:
- Logical operators and truth tables.(“or”, “and”, “not”)
- Statements with “if”, “only if” and “if and only if”
- Converses and contrapositives
- Necessary and sufficient conditions
- Universal and existential quantifiers(“for all”, “there exists”)
- Proofs: by deduction, by induction, by contradiction, by contraposition, existence proofs, disprove by counterexample
- Identifying logical errors in proofs
Mathematics:
Participants for this programme will be selected using the shortlisting criteria found on the Who we work with webpage to prioritise young people from the least represented groups at UCL.