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Department of Mathematics

Fundamentals of Mathematics (G5133)

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Fundamentals of Mathematics

Module G5133

Module details for 2025/26.

15 credits

FHEQ Level 4

Module Outline

• Sets, functions, cardinality, countability, deMorgan laws.
• Elements of propositional logic, mathematical induction.
• Peano postulates, axiomatic foundations and basics of arithmetic, groups, fields.

Module learning outcomes

Demonstrate an understanding of the axiomatic foundations of basic mathematical number systems, sets and functions;

Understand and be able to employ the basic tools of mathematical logic and proof;

Demonstrate a working knowledge of axiomatic arithmetic, group theory, fields and key relevant theorems.

TypeTimingWeighting
Coursework10.00%
Coursework components. Weighted as shown below.
Problem SetT1 Week 3 25.00%
Problem SetT1 Week 5 25.00%
Problem SetT1 Week 8 25.00%
Problem SetT1 Week 10 25.00%
Unseen ExaminationSemester 1 Assessment80.00%
Coursework10.00%
Coursework components. Weighted as shown below.
PortfolioT1 Week 11 100.00%
Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

TermMethodDurationWeek pattern
Autumn SemesterLecture1 hour11111111111
Autumn SemesterLecture2 hours11111111111
Autumn SemesterWorkshop2 hours11111111111

How to read the week pattern

The numbers indicate the weeks of the term and how many events take place each week.

Dr Michael Taylor

Assess convenor, Convenor
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Dr Minmin Wang

Assess convenor, Convenor
/profiles/469630

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The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.