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: Kevin Hughes Jr
School School of Computing, Engineering and the Built Environment
Subject area group: Engineering and Mathematics
Prerequisites

Requisites: AND 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 Math 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 are explored. Here is a little more detail highlighting important subtopics within each of the four topics above. In *Calculus*, you will learn logarithmic differentiation and an introduction to multi-variable calculus. In *Ordinary Differential Equations*, you will study the particular and general solutions to first and second order constant coefficient ordinary differential equations. In *Laplace Transforms, you will learn and utilize a practical method to solving the aforementioned differential equations. In *Matrices*, you will learn about linear systems of equations and methods to solve them, matrices' eigenvalues/eigenvectors, and how to interpret matrices as transformations. Throughout the module, you will enjoy exploring these mathematical areas and concepts at multiple levels including in engineering applications.
Learning Outcomes for module:

Upon completion of this module you will be able to

LO1: Obtain first and second order partial derivatives including applications.

LO2: Perform operations on matrices.

LO3: Calculate and apply Laplace Transforms.

LO4: Solve ordinary differential equations.
Full Details of Teaching and Assessment
2025/6, 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: Kevin Hughes Jr
Module Organiser:


Student Activity (Notional Equivalent Study Hours (NESH))
Mode of activityLearning & Teaching ActivityNESH (Study Hours)NESH Description
Face To Face Lecture 30 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.
Face To Face Tutorial 30 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. Moreover, the tutorials provide continuous formative assessment.
Online Guided independent study 138 Before each lecture or tutorial, the student is expected to read the upcoming content provided to them in the lectures and through the course website. After each lecture or tutorial, the student is expected to read and review the content provided to them in the lectures and through the course website. The student is expected to work through exercises provided to them in the tutorials and through the course website.
Face To Face Centrally Time Tabled Examination 2 This centrally timetabled exam will test your understanding of the module's learning outcomes and your ability to apply them to solve problems.
Total Study Hours200
Expected Total Study Hours for Module200


Assessment
Type of Assessment Weighting % LOs covered Week due Length in Hours/Words Description
Class Test 40 1~2 Week 6 HOURS= About 1.5 hours The class test will assess each student's understanding of concepts from the first two learning outcomes covered in the course as well as their understanding of how to apply these concepts to solve problems. The test will last approximately 1.5 hours. [M1, M2, M3]In addition to the abundance of problems provided in tutorials and lectures, an example examination paper will be in advance to assist in your revision of the material. Students have the opportunity to review the paper and seek support and peer marked feedback on their understanding of the subject matter. It is also an opportunity to familiarise one's self with the examination format and style of questioning.
Report 10 1~2~3~4 Week 11 , WORDS= 5-7 days The students will have at most one week to complete this report. The report assesses outcomes 1,2,3 and 4. Using the scientific computing software MATLAB, the student will solve a series of problems requiring some computing. [M1, M2, M3]
Centrally Time Tabled Examination 50 1~2~3~4 Exam Period HOURS= 2 hours This centrally timetabled exam will test your understanding of the module's learning outcomes and your ability to apply them to solve problems. [M1, M2, M3]
Component 1 subtotal: 50
Component 2 subtotal: 50
Module subtotal: 100

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

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