Modules

Core Module Information
Module title: Mathematical Methods I
SCQF level: 07:
SCQF credit value: 20.00
ECTS credit value: 10
Module code: ELE07110
Module leader: Stathis Tingas
School School of Computing, Engineering and the Built Environment
Subject area group: Engineering and Mathematics
Prerequisites

Requisites: Pre-requisite: [Module ELE07102] Foundation Mathematics
Description of module content:

This module introduces foundational mathematical concepts and techniques essential for undergraduate engineering studies. Students will develop proficiency in calculus, including implicit and parametric differentiation, hyperbolic functions, and advanced integration methods, with a focus on engineering applications. The module also covers the fundamentals of ordinary differential equations, providing tools to analyze and solve dynamic systems.A key component of the module is the study of probability, including the principles of probability theory and the application of the normal distribution to engineering problems. Additionally, students will explore mathematical series such as Binomial, MacLaurin, and Taylor series, learning to approximate functions and expand their analytical skills. The module concludes with an introduction to matrices and determinants, equipping students with the skills to perform operations on matrices and solve related engineering problems.By the end of this module, students will have developed a strong mathematical foundation, enabling them to apply differentiation and integration techniques, solve ordinary differential equations, perform operations on matrices, utilize probability laws, and approximate functions using series. These skills will serve as a critical toolkit for tackling complex problems in their engineering studies and future careers.
Learning Outcomes for module:

Upon completion of this module you will be able to

LO1: Apply differentiation and integration techniques.

LO2: Perform operations on matrices.

LO3: Use the laws of probability and applying the normal distribution.

LO4: Use series to approximate functions.

LO5: Solve ordinary differential equations.
Full Details of Teaching and Assessment
2025/6, 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: Stathis Tingas
Module Organiser:


Student Activity (Notional Equivalent Study Hours (NESH))
Mode of activityLearning & Teaching ActivityNESH (Study Hours)NESH Description
Face To Face Centrally Time Tabled Examination 2 The exam evaluates students’ understanding of core mathematical and engineering principles and their ability to apply this knowledge to the solution of complex problems. Through a series of timed questions, students will be expected to formulate and analyse mathematical models, drawing justified conclusions based on first principles and logical reasoning.
Face To Face Tutorial 33 The tutorial sessions offer a hands-on learning experience where students apply the concepts introduced during lectures to solve problems and deepen their understanding. In these small-group or interactive sessions, students work through exercises, receive individualized guidance, and engage in discussions to clarify doubts and strengthen their problem-solving skills. Tutorials emphasize active learning and provide an opportunity for students to practice mathematical techniques.
Online Guided independent study 132 Guided independent study allows students to consolidate their learning at their own pace. Through recommended readings, practice exercises, and supplementary resources, students can explore module topics in greater depth, reinforcing their understanding and preparing for assessments.
Face To Face Lecture 33 The lecture sessions are designed to provide a comprehensive understanding of the core mathematical concepts and techniques covered in the module. These sessions focus on delivering theoretical knowledge, including detailed explanations, worked examples, and demonstrations of practical applications relevant to engineering. The structured delivery of material ensures that students build a strong conceptual foundation while connecting mathematical principles to real-world engineering challenges.
Total Study Hours200
Expected Total Study Hours for Module200


Assessment
Type of Assessment Weighting % LOs covered Week due Length in Hours/Words Description
Report 50 1~2 Week 7 , WORDS= 1000 words The coursework provides students with an opportunity to apply comprehensive mathematical and statistical knowledge to the solution of practical engineering problems [M1]. Students are required to formulate and analyse these problems, reaching substantiated conclusions through the use of first principles and appropriate mathematical reasoning [M2]. In preparing their reports, students will select and apply suitable computational and analytical techniques to model engineering scenarios, including discussion of the limitations and assumptions inherent in their chosen methods [M3].
Centrally Time Tabled Examination 50 1~2~3~4~5 Exam Period HOURS= 2 hours The exam evaluates students’ understanding of core mathematical and engineering principles and their ability to apply this knowledge to the solution of complex problems [M1]. Through a series of timed questions, students will be expected to formulate and analyse mathematical models, drawing justified conclusions based on first principles and logical reasoning [M2]. The exam further assesses students’ proficiency in selecting and employing appropriate analytical techniques for problem-solving and requires them to recognise and discuss the limitations of their chosen approaches [M3].
Component 1 subtotal: 50
Component 2 subtotal: 50
Module subtotal: 100

Indicative References and Reading List - URL:
ELE07110 / ELE07410 Mathematical models I
ELE07110 Mathematical Methods I
 

Related information