MAT-10047 - Algebra
Coordinator: Raymond N Turner Room: MAC2.27 Tel: +44 1782 7 33739
Lecture Time: See Timetable...
Level: Level 4
Credits: 30
Study Hours: 300
School Office: 01782 733075

Programme/Approved Electives for 2022/23

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2022/23

This module is intended to help students with the transition from the methods based approach of A level to the higher levels of rigour and understanding expected at degree level. It begins by discussing mathematical statements and various strategies of proof. This is followed by a short exposition of naive set theory. The remainder of the module covers the algebraic development of number systems and their properties followed by the fundamental topics in matrix and vector algebra, providing a solid introduction to algebra at degree level.

Aims
This module aims to provide students with a solid foundation in Algebra for the żdegree-level study of pure mathematics. The module will emphasise the need for care and rigour in presenting formal mathematical arguments and will provide students with knowledge of many key topics in pure mathematics which are needed for study beyond FHEQ Level 4.

Intended Learning Outcomes

state clearly the key definitions and theorems covered in the module: 1,2,3,4,5,6
2,3,4,5,6
perform arithmetic and theoretical calculations with matrices, vectors and complex numbers: 1,3,5,6
derive and apply (in specific examples) the key theorems covered in the module: 1,2,3,4,5,6
apply module concepts and theoretical material to develop mathematical and logical arguments:

Study hours

Learning/teaching comprises 72 hours video lectures, and 20 hours flipped examples classes.
Independent study comprises 20 hours for online assignments, 80 hours preparation for examples classes, 20 hours preparation for class test and exam, 84 hours consolidation of lecture material, and 4 hours for completion of class test and examination.

School Rules

None

Description of Module Assessment

1: Assignment weighted 10%
Semester 1 take home assignment
A take-home, written assignment. This consists of a set of questions with pre-allocated space for written solutions. Students should expect to spend 5 hours on this assignment.

2: Coursework weighted 10%
Semester 1 Coursework
A take-home, written coursework. This consists of a set of questions with pre-allocated space for written solutions. Students should expect to spend 5 hours on this assessment.

3: Class Test weighted 30%
Closed book Class Test
An end of semester closed book class test based on the material covered in Semester 1 of this module.

4: Assignment weighted 10%
Semester 2 take home assignment
A take-home, written assignment. This consists of a set of questions with pre-allocated space for written solutions. Students should expect to spend 5 hours on this assignment.

5: Coursework weighted 10%
Semester 2 Coursework
A take-home, written coursework. This consists of a set of questions with pre-allocated space for written solutions. Students should expect to spend 5 hours on this assessment.

6: Exam weighted 30%
Closed book examination
A closed book examination based on material covered in Semester 2 of the module. There will be a minimum of 5 and a maximum of 10 questions all of which must be answered.