School of Computing and Mathematics

Faculty of Natural Sciences

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

MAT-10040 - Algebra II

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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.

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.

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

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

36 hours of lectures

12 hours Examples Classes

20 hours of assessment preparation

80 hours private study

2 hour examination

12 hours Examples Classes

20 hours of assessment preparation

80 hours private study

2 hour examination

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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.

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.

Final examination

Unseen, two-hour end of semester examination