ENG1001 : Engineering Mathematics I
- Offered for Year: 2021/22
- Module Leader(s): Dr David Swailes
- Lecturer: Dr John Appleby, Dr Magda Carr, Dr Otti Croze
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
| Semester 1 Credit Value: | 10 |
| Semester 2 Credit Value: | 10 |
| ECTS Credits: | 10.0 |
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 funtions. 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 |
|---|---|---|---|---|---|
| Structured Guided Learning | Lecture materials | 20 | 0:30 | 10:00 | Reviewing video lectures |
| Guided Independent Study | Assessment preparation and completion | 20 | 1:00 | 20:00 | Testing – CBA and some written |
| Scheduled Learning And Teaching Activities | Lecture | 20 | 1:00 | 20:00 | Lectures (in person or on-line) |
| Structured Guided Learning | Academic skills activities | 90 | 1:00 | 90:00 | Private study – exercises (some CBA) -Practice and self-testing |
| Scheduled Learning And Teaching Activities | Small group teaching | 20 | 1:00 | 20:00 | Q&A Tutorials (in person or on-line) |
| 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 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. Pre-recorded videos will be used in conjunction with ‘printed’ material to introduce each topic and worked examples, in place of normal lectures. In-person classroom time will not be possible for this large group this year. Live (synchronous) on-line tutorials will be used to address student queries, with on-screen mathematical work. 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.
Student’s should consult their individual timetable for up-to-date delivery information.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Written Examination | 120 | 2 | A | 40 | Examination on full syllabus, possibly in take-home form. |
| PC Examination | 60 | 1 | A | 20 | Synoptic assessment on Sem 1 work |
| PC Examination | 60 | 2 | A | 20 | Synoptic assessment on Sem 2 work |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Computer assessment | 1 | M | 5 | Routine tests to ensure regular work |
| Computer assessment | 2 | M | 5 | Routine test to ensure regular work |
| Written exercise | 1 | M | 5 | Routine test to ensure regular work |
| Written exercise | 2 | M | 5 | Routine test to ensure regular work |
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 practised, with multiple attempts, to achieve mastery of methods and skills. End of Semester CBA tests will assess overall knowledge, and a final written (take-home) exam will ensure ability in writing mathematics systematically.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- ENG1001's Timetable