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MAT-10040 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences

For academic year: 2023/24 Last Updated: 13 February 2024

MAT-10040 - Algebra II
Coordinator: Christian Bean
Lecture Time: See Timetable...
Level: Level 4
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2023/24

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None


Description for 2023/24

This module continues from Algebra I and provides an introduction to number theory and matrix and vector algebra. Topics will include number systems, divisibility, matrix algebra, elementary row operations, solving systems of linear equations, determinants, eigenvalues and eigenvectors, diagonalisation of matrices, three dimensional vector algebra and geometry, lines and planes, general vector algebra, linear independence and bases.

Aims
The aim of this module is to build on the techniques developed in Algebra I, and to introduce students to matrix and vector algebra and their applications.

Intended Learning Outcomes

state clearly the key definitions and theorems related to systems of linear equations, three dimensional vector geometry and matrix algebra: 1,3
solve matrix problems in a variety of forms using appropriate methods: 1,2,3
solve problems and communicate their solutions accurately and reliably with structured and coherent arguments: 2,3

Study hours

36 hours of lectures
12 hours Examples Classes
20 hours of assessment preparation
80 hours private study
2 hour examination

School Rules

None

Description of Module Assessment

1: Assignment weighted 20%
A take-home, written 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 10 hours on this assignment.

2: Coursework weighted 20%
A take-home, written coursework
A take-home, written assignment. This consists of a set of questions with pre-allocated space for written solutions. Students should expect to spend 10 hours on this soursework.

3: Exam weighted 60%
Final examination
Unseen, two-hour end of semester examination

Please note that for the 2022/23 Academic Year programmes may be adapted to operate in accordance with a flexible, digital approach. This means that there may be some changes made to how modules are delivered and assessed. The latest information will be provided to you by your School in module handbooks. We endeavour to give you as much notice as possible of any changes and details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/student-terms-and-conditions/

Last Updated: 13 February 2024