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Session: 2022/23

Last modified: 16/05/2022 15:42:36

Title of Module: GA-Mathematics for Engineering 1

Code: GRLA07005 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, calling on 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: Motivated; Resilient
  • Professional: Ambitious; Driven.

Module Delivery Method
Face-To-FaceBlendedFully OnlineHybridCHybridOWork-based Learning
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Term used to describe the traditional classroom environment where the students and the lecturer meet synchronously in the same room for the whole provision.

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.

Online with mandatory face-to-face learning on Campus

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


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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. Communicate written conclusions to mathematical analysis in the form of 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, Matrices and Linear Systems of Equations) and Calculus (Differential and Integral).
Basic awareness of the development of fundamental mathematical ideas and methods over time.
Apprentice can corelate basic principles delivered in this module to the work-base practice.

Practice: Applied Knowledge and Understanding SCQF Level 7.

Ability to perform basic calculations in routine contexts.
Apprentice can apply basic principles delivered in this module to the work-base practice.

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.
Apprentice can apply learned skills to the work-base practice.

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 software at a basic level.
Ability to produce a basic report on an investigation in routine and non-routine context.
Apprentice can utilise ICT resources available at the work-base practice.

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.
Develop skills in planning and evaluating self-learning and performance as the foundation for lifelong learning/CPD.

Pre-requisites: Before undertaking this module the student should have undertaken the following:
Module Code:
Module Title:
Co-requisitesModule Code:
Module Title:

* Indicates that module descriptor is not published.

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Learning and Teaching
Formal lectures will be made available, but practical experience will be gained via underpinning tutorial sessions based on questions and exercises for students to attempt. Input and advice will be provided by tutors. Students will be expected to collaborate and communicate in small groups in obtaining solutions and in writing brief 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 Delivery0
Tutorial/Synchronous Support Activity12
Independent Study159
Personal Development Plan5
176 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:

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

Computer Algebra System DERIVE or equivalent.

“GA - Mathematics for Engineering 1” 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

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Supplemental Information

Programme BoardPhysical Sciences
Assessment Results (Pass/Fail) No
Subject PanelPhysical Sciences
ModeratorDr Kenneth Nisbet
External ExaminerC Macdonald
Accreditation Details
Version Number


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Assessment: (also refer to Assessment Outcomes Grids below)
Class Tests (60%)
A series of individual coursework 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 markcheck markcheck markcheck mark403
Combined Total For All Components100% 6 hours

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

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  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
Suitable assistance will be provided where appropriate.
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.