- Offered for Year: 2019/20
- 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 | 24 | 1:00 | 24:00 | Structured presentation of syllabus may include skills demonstration, formative feedback, etc |
| Guided Independent Study | Assessment preparation and completion | 2 | 5:00 | 10:00 | Target non-timetable hours to complete coursework assignment submissions. |
| Guided Independent Study | Assessment preparation and completion | 1 | 2:00 | 2:00 | Semester 1 examination. |
| Guided Independent Study | Assessment preparation and completion | 24 | 0:30 | 12:00 | Recommended revision for exams, assuming prior regular independent study throughout teaching |
| Scheduled Learning And Teaching Activities | Small group teaching | 12 | 1:00 | 12:00 | Problem classes (“tutorialsâ€) to support independent study and reinforce skills practise |
| Guided Independent Study | Independent study | 1 | 40:00 | 40:00 | Recommended regular personal study throughout teaching period to follow up taught classes |
| Total | | | | 100:00 | |
Jointly Taught With
| Code |
Title |
|---|
| ENG2008 | Analytic Methods in Marine Technology |
| ENG2012 | Engineering Mathematics II and Statistical Data Analysis |
Teaching Rationale And Relationship
Lectures: are used to present the mathematical theory and techniques and demonstrate their use for solving a range of problems in the subject area.
Tutorials: provide support and individual guidance to underpin students' self-study and problem solving skills and provide a forum for further discussion to aid understanding.
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 | 90 | |
Exam Pairings
| Module Code |
Module Title |
Semester |
Comment |
|---|
| | 1 | N/A |
| ENG2012 | Engineering Mathematics II and Statistical Data Analysis | 1 | N/A |
Other Assessment
| Description |
Semester |
When Set |
Percentage |
Comment |
|---|
| Prof skill assessmnt | 1 | M | 10 | 2 class tests each worth 5% |
Assessment Rationale And Relationship
The written examination provides an appropriate means to assess knowledge and understanding, and the ability to apply theory and techniques to problem solving.
The coursework assessment provides the opportunity for tackling extended problems, assess understanding of key ideas and principles and competence in applying these.
Reading Lists
Timetable
