Page Navigation

Module Descriptors

This page displays the selected Module Descriptor.

Printer friendly version Printer friendly version

Session: 2022/23

Last modified: 16/05/2022 16:12:02

Title of Module: Mathematics of Space & Change

Code: MATH07003 SCQF Level: 7
(Scottish Credit and Qualifications Framework)
Credit Points: 20 ECTS: 10
(European Credit Transfer Scheme)
School:School of Computing, Engineering and Physical Sciences
Module Co-ordinator:Wan  R  Mekwi

Summary of Module

The module content provides many of the the essential techniques in algebra, calculus, vectors and matrices, and their use in a wide range of applications.

The concept of a mathematical function is discussed, mentioning the ideas of limit and continuity. A range of standard functions will be considered, including polynomials, trigonometric, exponential and logarithmic functions. Building on the set of real numbers, the concept of a complex number is introduced in various forms, together with associated properties, and the underpinning algebra.

Matrices are introduced, leading to a discussion of matrix algebra and its use in the solution of systems of linear equations.

Vectors, in two and three dimensions, are discussed, together with the vector algebra needed to solve a range of applied problems.

Differential and integral calculus forms much of the module material. The ideas of differentiability and integrability are discussed. The methodology of differentiation and integration of a range of standard functions is covered, as is the use of these processes in well-known applications. A brief introduction to numerical integration will be given.

Mathematical software will be used to explore problems, using key mathematical concepts as appropriate, but in the context of less routine problems.

The Graduate Attributes relevant to this module are given below:

  • Academic: Critical thinker; Analytical; Inquiring; Knowledgeable; Problem-solver; Digitally literate; Autonomous.
  • Personal: Effective communicator; Motivated, Creative; Resilient
  • Professional: Collaborative; Ambitious; Driven.

Module Delivery Method
Face-To-FaceBlendedFully OnlineHybridCHybridOWork-based Learning
check mark

Face-To-Face
Term used to describe the traditional classroom environment where the students and the lecturer meet synchronously in the same room for the whole provision.

Blended
A mode of delivery of a module or a programme that involves online and face-to-face delivery of learning, teaching and assessment activities, student support and feedback. A programme may be considered “blended” if it includes a combination of face-to-face, online and blended modules. If an online programme has any compulsory face-to-face and campus elements it must be described as blended with clearly articulated delivery information to manage student expectations

Fully Online
Instruction that is solely delivered by web-based or internet-based technologies. This term is used to describe the previously used terms distance learning and e learning.

HybridC
Online with mandatory face-to-face learning on Campus

HybridO
Online with optional face-to-face learning on Campus

Work-based Learning
Learning activities where the main location for the learning experience is in the workplace.


Campus(es) for Module Delivery
The module will normally be offered on the following campuses / or by Distance/Online Learning: (Provided viable student numbers permit)
Paisley:Ayr:Dumfries:Lanarkshire:London:Distance/Online Learning:Other:
check mark

 

 

 

 

 

check mark
Term(s) for Module Delivery
(Provided viable student numbers permit).
Term 1check markTerm 2check markTerm 3

 

[Top of Page]


Learning Outcomes: (maximum of 5 statements)

On successful completion of this module the student will be able to:

L1. Use a range of fundamental analytic techniques in algebra effectively.

L2. Apply basic analytic techniques in calculus to a range of problems.

L3. Implement analytic techniques involving vectors and matrices.

L4. Obtain results from mathematical software, and communicate written conclusions in a report.

Employability Skills and Personal Development Planning (PDP) Skills
SCQF Headings During completion of this module, there will be an opportunity to achieve core skills in:
Knowledge and Understanding (K and U) SCQF Level 7.

Broad knowledge of algebra (namely functions, complex numbers, vectors, and matrices) and calculus (differential and integral).

Basic awareness of the development of fundamental mathematical ideas and methods over time.

Practice: Applied Knowledge and Understanding SCQF Level 7.

Ability to perform basic calculations in routine contexts.

Generic Cognitive skills SCQF Level 7.

Presenting mathematical arguments, such as calculations and some basic proofs.

Explaining mathematical reasoning and calculation in a basic way.

Communication, ICT and Numeracy Skills SCQF Level 7.

Ability to perform calculations using numbers, variables and equations.

Ability to interpret numerical and graphical output from mathematical software.

Ability to produce a report on an investigation.

Autonomy, Accountability and Working with others SCQF Level 7.

Working in a small group to solve a mathematical problem and report on it.

Identifying and addressing their own learning needs both during and outwith class time.

Pre-requisites: Before undertaking this module the student should have undertaken the following:
Module Code:
Module Title:
Other:Higher Mathematics or equivalent
Co-requisitesModule Code:
Module Title:

* Indicates that module descriptor is not published.

[Top of Page]


Learning and Teaching
Module content will be presented systematically in formal lectures. Alongside this, practical experience will be provided in two ways. There will be tutorial sessions based on questions and exercises for students to attempt, with input and advice provided by tutors. There will also be practical sessions, based around the use of mathematical software for computing solutions to problems posed in real-world terms. Students will be expected to collaborate and communicate in small groups in obtaining solutions and in writing brief laboratory reports.
Learning Activities
During completion of this module, the learning activities undertaken to achieve the module learning outcomes are stated below:
Student Learning Hours
(Normally totalling 200 hours):
(Note: Learning hours include both contact hours and hours spent on other learning activities)
Lecture/Core Content Delivery24
Tutorial/Synchronous Support Activity12
Laboratory/Practical Demonstration/Workshop12
Independent Study152
200 Hours Total

**Indicative Resources: (eg. Core text, journals, internet access)

The following materials form essential underpinning for the module content and ultimately for the learning outcomes:

“Mathematics of Space & Change” class notes as published on the University VLE.

"Calculus: One and Several Variables", SL Salas, GJ Etgen and E Hille.

"Elementary Linear Algebra", H Anton and C Rorres

(**N.B. Although reading lists should include current publications, students are advised (particularly for material marked with an asterisk*) to wait until the start of session for confirmation of the most up-to-date material)

Engagement Requirements

In line with the Academic Engagement Procedure, Students are defined as academically engaged if they are regularly engaged with timetabled teaching sessions, course-related learning resources including those in the Library and on the relevant learning platform, and complete assessments and submit these on time. Please refer to the Academic Engagement Procedure at the following link: Academic engagement procedure

[Top of Page]


Supplemental Information

Programme BoardPhysical Sciences
Assessment Results (Pass/Fail) No
Subject PanelPhysical Sciences
ModeratorDr Kenneth C Nisbet
External ExaminerC Macdonald
Accreditation DetailsThis module is accredited by IOP as part of BSc (Hons) Physics.
Version Number

2.11

[Top of Page]


Assessment: (also refer to Assessment Outcomes Grids below)
Class Test: formal closed book assessment, 60%
Assignment: a series of computer based tasks, 40%
(N.B. (i) Assessment Outcomes Grids for the module (one for each component) can be found below which clearly demonstrate how the learning outcomes of the module will be assessed.
(ii) An indicative schedule listing approximate times within the academic calendar when assessment is likely to feature will be provided within the Student Handbook.)

Assessment Outcome Grids (Footnote A.)

Component 1
Assessment Type (Footnote B.) Learning Outcome (1) Learning Outcome (2) Learning Outcome (3) Learning Outcome (4) Weighting (%) of Assessment ElementTimetabled Contact Hours
Class test (written)check markcheck markcheck mark 603

Component 2
Assessment Type (Footnote B.) Learning Outcome (1) Learning Outcome (2) Learning Outcome (3) Learning Outcome (4) Weighting (%) of Assessment ElementTimetabled Contact Hours
Class test (practical)   check mark403
Combined Total For All Components100% 6 hours

Footnotes
A. Referred to within Assessment Section above
B. Identified in the Learning Outcome Section above

[Top of Page]

Note(s):
  1. More than one assessment method can be used to assess individual learning outcomes.
  2. Schools are responsible for determining student contact hours. Please refer to University Policy on contact hours (extract contained within section 10 of the Module Descriptor guidance note).
    This will normally be variable across Schools, dependent on Programmes &/or Professional requirements.

Equality and Diversity
The module is suitable for any student satisfying the pre-requisites.

UWS Equality and Diversity Policy
(N.B. Every effort will be made by the University to accommodate any equality and diversity issues brought to the attention of the School)

2014 University of the West of Scotland

University of the West of Scotland is a Registered Scottish Charity.

Charity number SC002520.