773 prompts matching "Practice: Why complex roots of a real quadratic come in conjugate pairs"
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Explain converse and inverse back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th
Worked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo
Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Teach me probability using permutations and combinations
Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c