Aims/Description: The module aims to give an overview of basic constructions in pure mathematics; starting from the integers, we develop some theory of the integers, introducing theorems, proofs, and abstraction.  This leads to the idea of axioms and general algebraic structures, with groups treated as a principal example.  The process of constructing the real numbers from the rationals is also considered, as a preparation for 'analysis', the branch of mathematics where the properties of sequences of real numbers and functions of real numbers are considered.

Staff Contact: JARVIS ASHLEY F
Teaching Methods: Lectures, Tutorials, Problem solving, Independent Study
Assessment: Formal Exam, Classroom testing

Information on the department responsible for this unit (Mathematics and Statistics):

Departmental Home Page
Teaching timetable


The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

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Teaching methods and assessment displayed on this page are indicative for 2021-22. Students will be informed by the academic department of any changes made necessary by the ongoing pandemic.

Western Bank, Sheffield, S10 2TN, UK