Modules

Core Module Information
Module title: Mathematical Methods II
SCQF level: 08:
SCQF credit value: 20.00
ECTS credit value: 10
Module code: ELE08109
Module leader: Chris Guiver
School School of Computing, Engineering and the Built Environment
Subject area group: Engineering and Mathematics
Prerequisites

Requisites: Pre-requisite: Basic knowledge of differentiation, integration, matrices probabilities etc (to year 1 university level) AND Pre-requisite: [Module ELE07110] Mathematical Methods I
Description of module content:

'Mathematical Methods II' continues from and builds on the mathematics in the previous course 'Mathematical Methods I'. In Mathematical Methods II, the student (you) will learn from four fascinating interwoven mathematical areas which are fundamentally used in engineering. In no particular order, these topics are *Calculus*, *Ordinary Differential Equations*, *Laplace Transforms* and *Matrices*. In each topic, engineering applications shall be explored. Throughout the module, you will enjoy exploring these mathematical areas and concepts at multiple levels including in engineering applications.The module includes an integrated computer programming aspect, demonstrating how programming is essential to contemporary engineering mathematics, as well as the increasing role of generative AI in this field.
Learning Outcomes for module:

Upon completion of this module you will be able to

LO1: Deploy appropriate mathematical methods to solve second-order ordinary differential equations.

LO2: Calculate and apply Laplace Transforms.

LO3: Perform operations of matrix algebra, including computation of eigenvalues and eigenvectors.

LO4: Perform partial differentiation techniques, and use them to characterise stationary points.

LO5: Use suitable programming software to solve engineering mathematics problems related to the other module Learning Outcomes. Demonstrate a critical awareness of the strengths and weaknesses of generative AI in this context.
Full Details of Teaching and Assessment
2026/7, Trimester 1, Blended,
VIEW FULL DETAILS
Occurrence: 001
Primary mode of delivery: Blended
Location of delivery: MERCHISTON
Partner:
Member of staff responsible for delivering module: Chris Guiver
Module Organiser:


Student Activity (Notional Equivalent Study Hours (NESH))
Mode of activityLearning & Teaching ActivityNESH (Study Hours)NESH Description
Face To Face Tutorial 20 Classroom tutorials where students work individually or in small groups on exercise sheets. These activities build mathematical capability in students. Tutorials are designed to encourage active participation, facilitate problem-solving, provide personalised feedback, and promote peer interaction to deepen comprehension and skills. Appropriate questions will be provided to support your preparation for assessments and promote understanding of the concepts from the lectures.
Online Guided independent study 136 Guided independent study - including reading lecture notes, thinking, discussing with peers, working on exercises.
Face To Face Practical classes and workshops 20 Computer lab session, where students work individually or in small groups to use appropriate software and computer programming to build understanding and mastery of the material.
Online CLASS TEST 4 Expected time to prepare and submit solutions to the coursework assessment away from classes. This activity has some overlap with Guided Independent Study.
Face To Face Lecture 20 Lectures are designed to facilitate the student's understanding of core mathematical concepts and how to employ them in practice. Slides of each lecture will be shared on the course website as will notes which give another view of the subject matter. The students are expected to prepare in advance for each lecture, attend each lecture, and engage with course in each lecture; the latter includes asking or answering questions.
Total Study Hours200
Expected Total Study Hours for Module200


Assessment
Type of Assessment Weighting % LOs covered Week due Length in Hours/Words Description
Portfolio 60 3~4~5 Exam Period , WORDS= About 6 hours Students are required to submit solutions to an assessed set of exercises and problems, covering LOs 3,4 and 5. It is an open-book, take-away assessment. In particular, students will need to use suitable computer programming skills, supported by generative AI, and critically evaluate their outputs [M1, M2, M3].
Class Test 40 1~2 Week 8 HOURS= 2 hours An in-person, timed class test covering LO1 and LO2 on differential equations and Laplace transforms, respectively. This class test will assess your fundamental understanding of, and competence in, these learning outcomes and your ability to apply them to solve unseen problems [M1, M2, M3].
Component 1 subtotal: 40
Component 2 subtotal: 60
Module subtotal: 100

Indicative References and Reading List - URL:
ELE08109 / ELE08409 Mathematical Methods II
 

Related information