ENG2011 : Engineering Mathematics II
- Offered for Year: 2021/22
- Module Leader(s): Professor Yuri Sergeev
- 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 Chemical and Process Engineering. 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 | 18 | 0:30 | 9:00 | Recorded introductory lectures |
| Structured Guided Learning | Lecture materials | 18 | 2:00 | 36:00 | Lecture notes |
| Guided Independent Study | Assessment preparation and completion | 10 | 1:00 | 10:00 | Computer based exercises |
| Guided Independent Study | Assessment preparation and completion | 2 | 8:00 | 16:00 | CBA assessments |
| Guided Independent Study | Skills practice | 20 | 1:00 | 20:00 | Skill practice for computer exercise |
| Scheduled Learning And Teaching Activities | Scheduled on-line contact time | 9 | 1:00 | 9:00 | Synchronous tutorials |
| Total | 100:00 |
Jointly Taught With
| Code | Title |
|---|---|
| ENG2012 | Engineering Mathematics II and Statistical Data Analysis |
Teaching Rationale And Relationship
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’ person-al 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
Exam Pairings
| Module Code | Module Title | Semester | Comment |
|---|---|---|---|
| ENG2012 | Engineering Mathematics II and Statistical Data Analysis | 1 | N/A |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Computer assessment | 1 | M | 50 | CBA NUMBAS 1 24 hour |
| Computer assessment | 1 | M | 50 | CBA NUMBERS 2 24 HOUR |
Assessment Rationale And Relationship
The two CBA assessments provide a suitable means of testing mathematical knowledge and technical competence.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- ENG2011's Timetable