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

• Offered for Year: 2020/21
• Module Leader(s): Professor Yuri Sergeev
• Lecturer: Dr David Swailes, Dr Aamir Khan, Dr John Appleby
• 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

#### 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

Module leaders are revising this content in light of the Covid 19 restrictions.
Revised and approved detail information will be available by 17 August.

#### Assessment Methods

Module leaders are revising this content in light of the Covid 19 restrictions.
Revised and approved detail information will be available by 17 August.