ENG1001 : Engineering Mathematics I
- Offered for Year: 2025/26
- Module Leader(s): Dr Magda Carr
- Lecturer: Dr John Appleby, Dr David Swailes
- Owning School: Mathematics, Statistics and Physics
- 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 | |
Aims
To provide the Stage 1 mathematical knowledge and skills base for the various undergraduate engineering programmes in the faculty. This module begins with a review of methods of calculus including illustrations of such methods in engineering. These ideas are developed to enable a large range of engineering systems to be modelled using differential equations and linear algebra.
Outline Of Syllabus
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. Applications. Basic types of first and second order ordinary differential equations. Analytical methods of solution. Linked systems. Matrix and vector algebra. Solution methods for systems of linear equations. Eigenvalue problems. Introduction to Fourier Series in real and complex form.
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Scheduled Learning And Teaching Activities | Lecture | 40 | 1:00 | 40:00 | Lectures (in person) |
| Guided Independent Study | Assessment preparation and completion | 20 | 1:00 | 20:00 | Testing – formative CBA and some written |
| Structured Guided Learning | Academic skills activities | 80 | 1:00 | 80:00 | Private study – exercises (some formative CBA) -Practice and self- testing |
| Scheduled Learning And Teaching Activities | Small group teaching | 20 | 1:00 | 20:00 | Q&A Tutorials (in person) |
| Guided Independent Study | Independent study | 1 | 20:00 | 20:00 | All new Stage 0 & 1 in Engineering – preparation before starting |
| Guided Independent Study | Independent study | 20 | 1:00 | 20:00 | Private study – use of notes and videos in understanding ‘lectures’ |
| Total | 200:00 |
Teaching Rationale And Relationship
Pre-sessional preparatory material will be made available to all new Stage 1 and Stage 0 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. Tutorials will be in person and used to address student queries, offering help and guidance on exercise questions and any queries from lectures. Computer-based exercises and tests will help students to check and improve their skills. Bookable ‘office hour’ personal tutorials will support students on demand. Exercise sheets are for practice of methods and reinforcement of understanding and applications.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Digital Examination | 90 | 1 | A | 20 | NUMBAS Exam on Sem 1 work |
| Digital Examination | 150 | 2 | A | 50 | NUMBAS exam on full syllabus. |
Exam Pairings
| Module Code | Module Title | Semester | Comment |
|---|---|---|---|
| 1 | N/A |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Computer assessment | 1 | M | 5 | Routine test to ensure regular work |
| Computer assessment | 1 | M | 5 | Routine test to ensure regular work |
| Computer assessment | 1 | M | 5 | Routine test to ensure regular work |
| Computer assessment | 2 | M | 5 | Routine test to ensure regular work |
| Computer assessment | 2 | M | 5 | Routine test to ensure regular work |
| Computer assessment | 2 | M | 5 | Routine test to ensure regular work |
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 |
|---|---|---|---|
| Prob solv exercises | 1 | M | NUMBAS with feedback |
| Prob solv exercises | 1 | M | Feedback in tutorials |
| Prob solv exercises | 2 | M | NUMBAS with feedback |
| Prob solv exercises | 2 | M | Feedback in tutorials |
Assessment Rationale And Relationship
To encourage regular study and reflection in this hierarchical subject (with competing pressures of Engineering coursework), frequent computer-based (CBA) tests will be set on questions already practiced, with multiple attempts, to achieve mastery of methods and skills.
Written exercises and examinations will test mathematical writing skills, presentation, and methodology.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- ENG1001's Timetable