ENG2011 : Engineering Mathematics II
- Offered for Year: 2023/24
- Module Leader(s): Dr Otti Croze
- Lecturer: Dr David Swailes
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
| Semester 1 Credit Value: | 10 |
| ECTS Credits: | 5.0 |
Aims
To extend students' knowledge, understanding and use of analytical methods required in a range of engineering applications.. The course covers more advanced methods for solving differential equations, theory and applications of vector analysis and various infinite series.
Outline Of Syllabus
Differential Equations and Series:
- the Laplace transform and its application to solving ordinary differential equations
- Fourier series
- partial differential equations with applications
Vectors analysis:
- vector methods and their applications
- scalar and vector fields – grad, div, curl and potential fields
- surface and volume integrals
- divergence theorem and applications to transport processes
- application to fluid mechanics: material derivative, continuity and Euler’s equations
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Scheduled Learning And Teaching Activities | Lecture | 20 | 1:00 | 20:00 | In person lectures |
| Guided Independent Study | Assessment preparation and completion | 2 | 8:00 | 16:00 | CBA assessments |
| Guided Independent Study | Assessment preparation and completion | 10 | 1:00 | 10:00 | Computer based exercises |
| Structured Guided Learning | Lecture materials | 13 | 2:00 | 26:00 | lecture notes |
| Scheduled Learning And Teaching Activities | Small group teaching | 9 | 1:00 | 9:00 | In person or live on line |
| Guided Independent Study | Skills practice | 10 | 1:00 | 10:00 | Skill practice for computer exercise |
| Guided Independent Study | Independent study | 18 | 0:30 | 9:00 | Lecture materials |
| Total | 100:00 |
Teaching Rationale And Relationship
Pre-recorded videos will be used in conjunction with ‘printed’ material to introduce each topic and worked examples.to support in-person lectures. 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’ person-al 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 |
|---|---|---|---|---|---|
| Written Examination | 120 | 1 | A | 60 | N/A |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Computer assessment | 1 | M | 20 | CBA NUMBAS 1 24 hour |
| Computer assessment | 1 | M | 20 | CBA NUMBAS 2 24 hour |
Assessment Rationale And Relationship
The two CBA assessments and written exam provide a suitable means of testing mathematical knowledge and technical competence.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- ENG2011's Timetable