2020/21 Undergraduate Module Catalogue
MATH1025 Number Systems
15 creditsClass Size: 330
Module manager: Dr Margit Messmer; Prof Paul Martin
Email: M.Messmer@leeds.ac.uk; P.P.Martin@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2020/21
Pre-requisite qualificationsGrade B in A-level Mathematics or equivalent.
This module is approved as a discovery module
Module summaryThis module exposes students to the basic objects of mathematics such as sets, number systems, and functions. Basic properties of these objects are explored using mathematical language. Students will develop proof writing skills, and will be introduced to the mathematical word processing tool LateX.
ObjectivesOn completion of this module, students should:
- be able to state and prove elementary properties of integers, rational, real, complex numbers, and general functions;
- have acquired skills such as:
> constructing, writing (using LateX) and communicating proofs using different methods, including mathematical induction;
> presenting mathematical ideas using precise language in written and verbal form;
> manipulating and exploring basic mathematical objects confidently.
3. Integers, rational and real numbers
4. Proof by induction
5. Complex numbers
6. Congruences & modular arithmetic, RSA codes
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information
|Delivery type||Number||Length hours||Student hours|
|Private study hours||122.00|
|Total Contact hours||28.00|
|Total hours (100hr per 10 credits)||150.00|
Private studyStudying and revising of course material.
Completing of assignments and assessments.
Opportunities for Formative FeedbackAssessed coursework with written and oral presentations throughout the semester with feedback.
!!! In order to pass the module, students must pass the examination. !!!
Methods of assessment
|Assessment type||Notes||% of formal assessment|
|Total percentage (Assessment Coursework)||20.00|
There is no resit available for the coursework component of this module. If the module is failed, the coursework mark will be carried forward and added to the resit exam mark with the same weighting as listed above.
|Exam type||Exam duration||% of formal assessment|
|Open Book exam||2 hr 30 mins||80.00|
|Total percentage (Assessment Exams)||80.00|
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading listThe reading list is available from the Library website
Last updated: 16/09/2020
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