ENG2012 : Engineering Mathematics II and Statistical Data Analysis (Inactive)
- Inactive for Year: 2024/25
- Module Leader(s): Prof. Yuri Sergeev
- Lecturer: Dr John Appleby, Dr David Swailes, Dr Cristiano Villa
- 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
Mathematics: to extend students' knowledge, understanding and application of analytical methods required in Mechanical Engineering. The course covers methods for solving differential equations, theory and applications of vector analysis and various infinite series.
To develop students' ability to solve mechanical engineering problems.
Statistics: to provide students with a fundamental understanding of the basic statistical techniques (summary statistics, probability distributions, interval estimation and regression analysis) routinely used in the engineering industries.
Outline Of Syllabus
Mathematics:
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
Mathematical modelling: for solving mechanical engineering problems
Statistics:
Introduction: descriptive statistics
Probability: continuous distributions, normal distribution
Statistical interference: sampling distributions and confidence intervals - one sample problems (mean, standard deviation, paired comparisons) and two sample problems (comparison of means, ratio of variances)
Regression analysis
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Structured Guided Learning | Lecture materials | 18 | 2:00 | 36:00 | Lecture notes sem one |
| Scheduled Learning And Teaching Activities | Lecture | 10 | 1:00 | 10:00 | In person lectures (Statistics, Semester 2) |
| Scheduled Learning And Teaching Activities | Lecture | 10 | 1:00 | 10:00 | Recorded introductory lectures sem two |
| Guided Independent Study | Assessment preparation and completion | 15 | 1:00 | 15:00 | Statistics exam |
| Scheduled Learning And Teaching Activities | Lecture | 18 | 0:30 | 9:00 | Recorded introductory lectures sem one |
| Guided Independent Study | Assessment preparation and completion | 5 | 1:00 | 5:00 | case study report |
| Structured Guided Learning | Lecture materials | 4 | 5:00 | 20:00 | case study support material |
| Guided Independent Study | Assessment preparation and completion | 2 | 8:00 | 16:00 | CBA exam |
| Structured Guided Learning | Lecture materials | 10 | 1:00 | 10:00 | Reviewing lecture notes (Statistics, Semester 2) |
| Guided Independent Study | Skills practice | 10 | 1:00 | 10:00 | Problem sheet exercises sem two |
| Guided Independent Study | Skills practice | 10 | 1:00 | 10:00 | Computer based exercises sem one |
| Guided Independent Study | Skills practice | 20 | 1:00 | 20:00 | Problem sheet exercises sem one |
| Scheduled Learning And Teaching Activities | Drop-in/surgery | 6 | 1:00 | 6:00 | In-person drop-in tutorials (Statistics, Semester 2) |
| Guided Independent Study | Independent study | 10 | 1:00 | 10:00 | Case study research |
| Scheduled Learning And Teaching Activities | Scheduled on-line contact time | 13 | 1:00 | 13:00 | Synchronous tutorials |
| Total | 200:00 |
Jointly Taught With
| Code | Title |
|---|---|
| ENG2011 | Engineering Mathematics II |
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. 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.
Statistics, Semester 2: In-person lectures convey the statistical concepts and theory and their application in engineering. Tutorial questions will be supplied for students' self-study. Drop-in tutorials will be used to address student queries and 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 | 60 | 2 | A | 25 | Statistics exam |
Exam Pairings
| Module Code | Module Title | Semester | Comment |
|---|---|---|---|
| Engineering Mathematics II | 1 | N/A | |
| Data Analysis in Process Industries | 2 | N/A |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Case study | 2 | A | 25 | modelling report |
| Computer assessment | 1 | M | 25 | NUMBAS CBA 24 hours |
| Computer assessment | 1 | M | 25 | NUMBAS CBA 25% |
Assessment Rationale And Relationship
The two CBA assessments in Semester 1 provide a suitable means of testing mathematical knowledge and technical competence. The modelling case study report in Semester 2 permits a more open-ended assessment appropriate for developing and communicating ideas. The written statistics assessment in Semester 2 is appropriate for presenting data-intensive questions and testing the application of statistical techniques on these.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- ENG2012's Timetable