2024/25 Undergraduate Module Catalogue

MATH1025 Number Systems

15 creditsClass Size: 365

Module manager: Dr Margit Messmer
Email: M.Messmer@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2024/25

Pre-requisite qualifications

Grade B in A-level Mathematics or equivalent.

This module is not approved as a discovery module

Module summary

This 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.

Objectives

On 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.

Syllabus

1. Sets
2. Functions
3. Integers, rational and real numbers
4. Proof by induction
5. Complex numbers
6. Congruences & modular arithmetic, RSA codes

Teaching methods

Delivery type	Number	Length hours	Student hours
Workshop	6	1.00	6.00
Lecture	22	1.00	33.00
Tutorial	11	1.00	11.00
Private study hours			100.00
Total Contact hours			50.00
Total hours (100hr per 10 credits)			150.00

Private study

Studying and revising of course material.
Completing of assignments and assessments.

Opportunities for Formative Feedback

Assessed 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

Coursework

Assessment type	Notes	% of formal assessment
In-course Assessment	.	20.00
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.

Exams

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 list

The reading list is available from the Library website

Last updated: 28/04/2023 14:54:40

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