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Module Descriptors

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Session: 2022/23

Last modified: 22/07/2022 13:58:00

Title of Module: Engineering Mathematics 2

Code: MATH07007 SCQF Level: 7
(Scottish Credit and Qualifications Framework)		 Credit Points: 10 ECTS: 5
(European Credit Transfer Scheme)
School:School of Computing, Engineering and Physical Sciences
Module Co-ordinator:Kenneth  C.  Nisbet

Summary of Module

Some content of Higher and Advanced Higher Mathematics is reviewed, extended and deepened, so as to provide a mathematical basis at level 7 in Algebra and Calculus, for students in Engineering.

Vectors are fundamental to the analysis of processes in more than one dimension. Complex numbers underpin modern Applied Mathematics. Matrices arise when continuous mathematics is discretised in the course of solving large problems. Differentiation is the tool used to calculate instantaneous rates of change in continuous processes. Integration is used in problems of summation, including area, work done and energy calculations.

Specific subject matter is:

Complex numbers: real and imaginary parts, arithmetic operations, conjugates, modulus, argument, Cartesian and polar forms.

Matrices & Vectors: Matrix operations and their application to the solution of systems of equations. Matrix inverse. Determinants. Vector algebra, scalar and vector products and their applications.

Differentiation: Optimisation problems. Product and Quotient Rules. Applications of Differentiation.

Integration: Integration by parts, substitution and using partial fractions. Introduction to numerical methods. Applications of integration.

The Graduate Attributes relevant to this module are given below:

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

Module Delivery Method
Face-To-FaceBlendedFully OnlineHybridCHybridOWork-based Learning
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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:
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Term(s) for Module Delivery
(Provided viable student numbers permit).
Term 1

 

Term 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. Obtain solutions to basic problems using fundamental mathematical objects, namely complex numbers, vectors and matrices.

L2. Apply and adapt the basic techniques of algebra and calculus in routine and non-routine contexts.

L3. Select appropriate mathematical approaches to tackle standard problems in basic algebra and calculus

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.

Developing a broad knowledge of the important concepts of complex numbers, vectors and matrices.

Extending knowledge in differential and integral calculus.

Practice: Applied Knowledge and Understanding SCQF Level 7.

Showing an ability to perform basic calculations in routine contexts.

Generic Cognitive skills SCQF Level 7.

Presenting mathematical arguments, such as performing calculations and basic verifications.

Explaining mathematical reasoning and calculation, using a range of mathematical concepts.

Communication, ICT and Numeracy Skills SCQF Level 7.

Using mathematical output from hand calculation, and suitable software, communicating results in a coherent way

Autonomy, Accountability and Working with others SCQF Level 7.

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

Working in a suitable group context to produce coherent mathematical output.

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.

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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 Delivery12
Tutorial/Synchronous Support Activity6
Independent Study82
100 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:

"Engineering Mathematics 2" course notes as published on University VLE.

"Foundation Maths", A Croft and R Davison

(**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 Alan J Walker
External ExaminerC Macdonald
Accreditation DetailsThis module is part of the MSc Chemical Engineering programme accredited by the IChemE, accredited by Joint Board of Moderators of the ICE, IStructE, IHE and CIHT as part of BEng (Hons) Civil Engineering, and by IMechE as part of BEng(Hons) Mechanical Engineering.
Version Number

1.06

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Assessment: (also refer to Assessment Outcomes Grids below)
Closed book class test (70%)
Group coursework assignment (30%)
(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) Weighting (%) of Assessment ElementTimetabled Contact Hours
Class test (written)check markcheck markcheck mark701.5

Component 2
Assessment Type (Footnote B.) Learning Outcome (1) Learning Outcome (2) Learning Outcome (3) Weighting (%) of Assessment ElementTimetabled Contact Hours
Class test (practical)check markcheck markcheck mark302.5
Combined Total For All Components100% 4 hours

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

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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.

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