2013/14 Undergraduate Module Catalogue

MATH1025 Number Systems

15 Credits Class Size: 200

Module manager: Prof John Truss
Email: J.K.Truss@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2013/14

Pre-requisite qualifications

Good grade in A-level Mathematics or equivalent.

This module is approved as an Elective

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 6
Lecture 33 1 33
Tutorial 11 1 11
Private study hours 100
Total Contact hours 50
Total hours (100hr per 10 credits) 150

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
Total percentage (Assessment Coursework) 20

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams
Exam type Exam duration % of formal assessment
Standard exam (closed essays, MCQs etc) 2.0 Hrs 30 Mins 80
Total percentage (Assessment Exams) 80

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: 2/13/2014

Errors, omissions, failed links etc should be notified to the Catalogue Team