Study Abroad and Exchanges

# Modules

### CME2126 : Engineering Mathematics

• Offered for Year: 2018/19
• Module Leader(s): Dr Sagheer Onaizi
• Owning School: Engineering
• Teaching Location: Singapore
##### 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.

To cover more advanced methods for solving differential equations, theory and applications of vector analysis and various infinite series.

To introduce essential statistics and statistical analysis of data sets.

#### Outline Of Syllabus

Differential Equations and Series:
- the Laplace transform and its application to solving ordinary differential equations
- power series – Taylor and Maclaurin series (in one variable)
- Fourier series
- partial differential equations with applications
Vector analysis:
- vector methods and their applications
Statistical Data Analysis:
- Introduction: Descriptive statistics;
- Probability; Continuous distributions, normal distribution;
- Statistical Inference; 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 completion18:008:00Assignment completion
Guided Independent StudyAssessment preparation and completion12:002:00Exam
Guided Independent StudyAssessment preparation and completion112:0012:00Exam revision
Scheduled Learning And Teaching ActivitiesLecture241:0024:00N/A
Scheduled Learning And Teaching ActivitiesSmall group teaching121:0012:00Tutorials
Guided Independent StudyIndependent study421:0042:00Review lecture material, prepare for small group teaching
Total100:00
##### 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 Examination1201A90N/A
##### Other Assessment
Description Semester When Set Percentage Comment
Report1M102 Assignments 5% each
##### 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.