Global Opportunities

### CEG1716 : Geospatial Mathematics and Statistics

• Offered for Year: 2022/23
• Available for Study Abroad and Exchange students, subject to proof of pre-requisite knowledge.
• Module Leader(s): Dr James Waldron
• Lecturer: Dr Otti Croze, Dr Aamir Khan
• Owning School: Mathematics, Statistics and Physics
• Teaching Location: Newcastle City Campus
##### Semesters
 Semester 1 Credit Value: 20 Semester 2 Credit Value: 10 ECTS Credits: 15.0

#### Aims

An appreciation of the basic quantitative and statistical methodologies which underpin Geospatial Engineering.
To present and describe the mathematical concepts which are essential for a better understanding of various aspects of geospatial engineering, many of which rely upon, or develop from, a mathematical background.

#### Outline Of Syllabus

Summary: Elementary differentiation. Partial differentiation. Integration, Partial differentiation, Series expansions & linearisation. Stationary points of functions of two variables.
Statistics of a data set, mean, standard deviation, median, median absolute deviation, mode; Summary statistics of bivariate data, correlation; Probability Density Functions; Mean and standard deviation of populations described by probability density functions; Errors in geospatial data. Normal distribution, Standard form and use of tables with applications to geomatics, Standard Error and Confidence Intervals. Hypothesis testing. t, F, chi- square tests. Linear regression.

Vectors, Introduction to vector calculus, Introduction to matrices. Matrix algebra. Determinants, Inverse via the adjoint, Eigenvalues & Eigenvectors, Rotation matrices, Spherical coordinates

#### Teaching Methods

##### Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture661:0066:00Formal lecture/tutorial. Present in person
Scheduled Learning And Teaching ActivitiesLecture221:0022:00Problem class/tutorial. Present in Person
Guided Independent StudyAssessment preparation and completion451:0045:00N/A
Scheduled Learning And Teaching ActivitiesDrop-in/surgery221:0022:00Office hour or discussion board activity
Guided Independent StudyIndependent study1451:00145:00N/A
Total300:00
##### Teaching Rationale And Relationship

Lectures and tutorials are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on progress and marked work. Problem classes are used to help develop the students' abilities at applying the theory to solving problems.

#### Assessment Methods

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

##### Other Assessment
Description Semester When Set Percentage Comment
Computer assessment1M10Numbas
Computer assessment1M10Numbas
Computer assessment1M10Numbas
Computer assessment1M35Numbas test, end of semester 1
Computer assessment2M5Numbas
Computer assessment2M5Numbas
Computer assessment2M25Numbas test, end of semester 2
##### Assessment Rationale And Relationship

The course assessments allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.