TMUA Interactive Coursebook (Online)

C25 Logical Statements

What’s on the Specification
编组 4 编组 4

Arg1 Understand and be able to use mathematical logic in simple situations:

  1. The terms true and false;
  2. The terms and, or (meaning inclusive or), not;
  3. Statements of the form:
    if A then B
    A if B
    A only if B
    A if and only if B
  4. The converse of a statement;
  5. The contrapositive of a statement;
  6. The relationship between the truth of a statement and its converse and its contrapositive.

Note: candidates will not be expected to recognise or use symbolic notation for any of these terms, nor will they be expected to complete formal truth tables.

Arg2 Understand and use the terms necessary and sufficient.
Arg3 Understand and use the terms for all, for some (meaning for at least one), and there exists.
Arg4 Be able to negate statements that use any of the above terms.
Learning Objectives
编组 4 编组 4
  • Understand mathematical statements and their truth values (true/false).
  • Use the logical terms ‘and’, ‘or’ (inclusive), and ‘not’.
  • Understand and use conditional statements: ‘if A then B’, ‘A if B’, ‘A only if B’, and ‘A if and only if B’
  • Recognise and use the converse and contrapositive of a statement.
  • Understand and apply the concepts of ‘necessary’ and ‘sufficient’ conditions.
  • Interpret statements using quantifiers: ‘for all’, ‘for some’, ‘there exists’.
Suggested Time
编组 4 编组 4
Task No. of Questions Suggested Time
Examples 17 220 min
Quiz 10 30 min
Practice A 12 30 min
Practice B 10 30 min
Total 49 approx. 4-5 hrs
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Interactive Coursebook (Online) of C25 Logical Statements

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