ENG1501 : Engineering Mathematics 1
ENG1501 : Engineering Mathematics 1
- Offered for Year: 2026/27
- Module Leader(s): Dr Mohamed Ahmeid
- Lecturer: Dr Matthew Armstrong, Mr Deepak Makwana, Dr Osama Abushafa
- Owning School: Engineering
- Teaching Location: Newcastle City Campus
Semesters
Your programme is made up of credits, the total differs on programme to programme.
| Semester 1 Credit Value: | 10 |
| Semester 2 Credit Value: | 10 |
| ECTS Credits: | 10.0 |
| European Credit Transfer System | |
Pre-requisite
Modules you must have done previously to study this module
Pre Requisite Comment
N/A
Co-Requisite
Modules you need to take at the same time
Co Requisite Comment
N/A
Aims
To provide the Stage 1 mathematical knowledge and skills base for the undergraduate degree apprenticeship engineering programmes in the faculty.
Outline Of Syllabus
Level 3 Supplementary Maths Support/Revision.
Functions, differentiation and integration. Exponential, logarithmic and hyperbolic functions.
Complex numbers, Cartesian and polar forms. Trigonometric functions and inverse functions.
Partial differentiation. Techniques of integration and numerical integration.
Basic types of first and second order ordinary differential equations.
Further topics, drawn from: Matrix and vector algebra. Solution methods for systems of linear equations. Eigenvalue problems. Introduction to Fourier Series in real and complex form.
Learning Outcomes
Intended Knowledge Outcomes
The mapping of certain AHEPv4 learning outcomes is indicated as [Cx] below.
Practice in mathematical principles necessary to underpin engineering education [C1, C2]
Application of mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems. [C3]
This module meets the following Degree Apprenticeship Knowledge outcomes:
K8
Intended Skill Outcomes
The mapping of certain AHEPv4 learning outcomes is indicated as [Cx] below.
Upon successful completion of this module, students will be able to apply a range of standard mathematical techniques to formulate and analyse simple mathematical techniques to formulate and analyse simple mathematical models of engineering systems. [C3]
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Guided Independent Study | Assessment preparation and completion | 1 | 2:00 | 2:00 | Digital Examination (summative) |
| Scheduled Learning And Teaching Activities | Lecture | 10 | 1:00 | 10:00 | Lectures |
| Guided Independent Study | Assessment preparation and completion | 1 | 1:00 | 1:00 | Computer based assessment (formative) |
| Structured Guided Learning | Lecture materials | 20 | 0:30 | 10:00 | Reviewing lectures |
| Guided Independent Study | Assessment preparation and completion | 16 | 1:00 | 16:00 | Preparation for computer-based assessment (summative) |
| Guided Independent Study | Assessment preparation and completion | 1 | 2:00 | 2:00 | Computer based assessment (summative) |
| Guided Independent Study | Assessment preparation and completion | 19 | 1:00 | 19:00 | Preparation for Digital Examination (summative) |
| Scheduled Learning And Teaching Activities | Lecture | 30 | 1:00 | 30:00 | Lectures (recorded) |
| Scheduled Learning And Teaching Activities | Small group teaching | 10 | 1:00 | 10:00 | Tutorials |
| Guided Independent Study | Independent study | 60 | 1:00 | 60:00 | Distance Learning - Work Based Degree Apprenticeship |
| Guided Independent Study | Independent study | 1 | 20:00 | 20:00 | Initial preparation/self-testing |
| Guided Independent Study | Independent study | 20 | 1:00 | 20:00 | Private study – use of notes - understanding lectures |
| Total | 200:00 |
Teaching Rationale And Relationship
Pre-sessional preparatory material will be made available to all students, consisting of videos, PDF resources, links, and on-line computer-based testing, encouraging students to revise material not studied for several months and to identify and address gaps or lack of fluency.
Lectures will be in person and recorded. They will be used to deliver the theory, methods and tools required in engineering mathematics. Tutorials will be in person and/or live online and used to address student queries, offering help and guidance on exercise questions and any queries from lectures.
Degree Apprenticeship learners will spend significant time in the workplace. Therefore, substantial recorded material will be made available for learners to study flexibly whilst off-campus.
Time for distance learning is factored into the module. Given this is a Degree Apprenticeship programme, time may also be spent on employer-based skills training, linked to the module content.
Reading Lists
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Digital Examination | 120 | 2 | A | 60 | Digital Examination on full syllabus |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Computer assessment | 1 | M | 40 | Assessment on Semester 1 work (120 minutes) |
Formative Assessments
Formative Assessment is an assessment which develops your skills in being assessed, allows for you to receive feedback, and prepares you for being assessed. However, it does not count to your final mark.
| Description | Semester | When Set | Comment |
|---|---|---|---|
| Computer assessment | 1 | M | Self-testing of knowledge. Test to ensure progress (60 mins - can be attempted multiple times) |
Assessment Rationale And Relationship
To encourage regular study and self-reflection in this hierarchical subject, a formative computer-based assessment will be made available in Semester 1 (students will be free to attempt multiple times throughout the module).
Summative Computer Assessment (End of Semester 1) will assess knowledge of Semester 1 material. This will be used to provide formal mid-module feedback to students.
Summative Digital Examination (End of Semester 2) will assess overall knowledge of the syllabus.
These asseesments meets following AHEPv4 learning outcomes:
C1; C2; C3
These asseesments meets the following Degree Apprenticeship knowledge outcomes:
K8
These asseesments meets the following Degree Apprenticeship skill outcomes:
C3
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- ENG1501's Timetable
Past Exam Papers
- Exam Papers Online : www.ncl.ac.uk/exam.papers/
- ENG1501's past Exam Papers
General Notes
N/A
Welcome to Newcastle University Module Catalogue
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Disclaimer
The information contained within the Module Catalogue relates to the 2026 academic year.
In accordance with University Terms and Conditions, the University makes all reasonable efforts to deliver the modules as described.
Modules may be amended on an annual basis to take account of changing staff expertise, developments in the discipline, the requirements of external bodies and partners, staffing changes, and student feedback. Module information for the 2027/28 entry will be published here in early-April 2027. Queries about information in the Module Catalogue should in the first instance be addressed to your School Office.