# Modules

### ENG2012 : Engineering Mathematics II and Statistical Data Analysis

• Offered for Year: 2019/20
• Module Leader(s): Professor Yuri Sergeev
• Lecturer: Dr Wenting Hu, Dr John Appleby, Dr David Swailes
• 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

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
Guided Independent StudyAssessment preparation and completion138:0038:00Target non-timetable hours to complete coursework assignment submissions
Scheduled Learning And Teaching ActivitiesLecture441:0044:00Structured presentation of syllabus may include skills demonstration, formative feedback etc
Guided Independent StudyAssessment preparation and completion360:3018:00Recommended revision for exams, assuming prior regular independent study throughout teaching
Guided Independent StudyAssessment preparation and completion11:301:30Semester 2 examination
Guided Independent StudyAssessment preparation and completion12:002:00Semester 1 examination
Scheduled Learning And Teaching ActivitiesSmall group teaching191:0019:00Problems classes ("tutorials") to support independent study and reinforce skills practice
Guided Independent StudyIndependent study177:3077:30Recommended regular personal study throughout teaching period to follow up taught classes
Total200:00
##### Jointly Taught With
Code Title
ENG2008Analytic Methods in Marine Technology
ENG2011Engineering Mathematics II
CME1027Data Analysis in Process Industries
##### Teaching Rationale And Relationship

Lectures are used to present the mathematical theory and techniques and demonstrate their use in 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.
Practical classes support the learning introduced in lectures through the students having the opportunity to apply the concepts to a number of problems varying in terms of complexity. The practical classes allow the completion of assignment work.

#### Assessment Methods

The format of resits will be determined by the Board of Examiners

##### Exams
Description Length Semester When Set Percentage Comment
Written Examination1201A45N/A
Written Examination902A25N/A
##### Exam Pairings
Module Code Module Title Semester Comment
1N/A
ENG2011Engineering Mathematics II1N/A
CME1027Data Analysis in Process Industries2N/A
##### Other Assessment
Description Semester When Set Percentage Comment
Report1M5Assignment on Vectors and differential equations (max 15 h)
Report2M25Comprises attendance 7.5%, assignment 1 5% and assignment 2 12.5% (max 15 hrs)
##### Assessment Rationale And Relationship

The written examinations provide an appropriate means to assess knowledge and understanding, and the ability to apply theory and techniques to problem solving.
The coursework provides the opportunity for tackling extended problems, assessing understanding of key ideas and principles and competence in applying these.
The mathematical modelling and statistical assignments assess the ability to formulate as well as solve associated engineering problems.

To meet the accreditation requirements of professional bodies, a passing mark for this module (40%) can be achieved only if a minimum mark of 30% is achieved for the assessed work (exam and coursework) in each semester. If a mark of at least 30% is not achieved in either semester, then the overall result will be restricted to 35%. If a resit is required then any individually passed component will be carried forward.