Modules

Core Module Information
Module title: Advanced Mathematics
SCQF level: 09:
SCQF credit value: 20.00
ECTS credit value: 10
Module code: ELE09115
Module leader: Vladimir Bratov
School School of Computing, Engineering and the Built Environment
Subject area group: Engineering and Mathematics
Prerequisites

Requisites: Pre-requisite: [Module ELE08103] Intermediate Mathematics A
Description of module content:

This module builds on Intermediate Mathematics, and covers mathematical concepts and examples of their application to solve practical problems in civil engineering and everyday life, based around the core concept of differential equations. Throughout you will learn further logical, analytical, and mathematical computation skills, which shall complement your other modules.In terms of content, you will encounter and learn how to solve first- and second-order ordinary differential equations, as well as meet partial differential equations, their nature and some methods of solution. You will understand the character, properties and purpose of Laplace Transforms. Further, the module includes a computer programming aspect to support the mathematical developments.
Learning Outcomes for module:

Upon completion of this module you will be able to

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

LO2: Construct and compute Laplace transforms, identify their inverses, and apply these to engineering problems.

LO3: Demonstrate competence with phase plane analysis for describing and understanding the solution of planar systems of differential equations.

LO4: Demonstrate understanding and mathematical familiarity with the concept of a Partial Differential Equation, and use the method of separation of variables in their solution.
Full Details of Teaching and Assessment
2026/7, Trimester 2, In Person,
VIEW FULL DETAILS
Occurrence: 001
Primary mode of delivery: In Person
Location of delivery: MERCHISTON
Partner:
Member of staff responsible for delivering module: Vladimir Bratov
Module Organiser:


Student Activity (Notional Equivalent Study Hours (NESH))
Mode of activityLearning & Teaching ActivityNESH (Study Hours)NESH Description
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.
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. A few of these classes will take place in a computer lab.
Face To Face Centrally Time Tabled Examination 2 Centrally Time Tabled Examination can cover all of the learning outcomes.
Online Guided independent study 158 Guided independent study to master theory and solution of mathematical problems needed to master the learning outcomes and to prepare for the final examination
Total Study Hours200
Expected Total Study Hours for Module200


Assessment
Type of Assessment Weighting % LOs covered Week due Length in Hours/Words Description
Portfolio 40 1~2 Week 8 , WORDS= 3-6hrs Students are required to submit solutions to an assessed set of exercises and problems, covering LOs 1,2. It is an open-book, take-away assessment. In particular, students may need to use suitable computer programming skills. [M1, M2, M3].
Centrally Time Tabled Examination 60 1~2~3~4 Exam Period HOURS= 2 hours A centrally-timetabled, in-person, timed examination covering all learning outcomes. This exam 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:
Advanced Mathematics
 

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