# CEG1716 : Geospatial Mathematics and Statistics

• Offered for Year: 2020/21
• Module Leader(s): Dr Andrew Duncan
• Lecturer: Dr Paul Bushby, Dr Aamir Khan
• Owning School: Engineering
• Teaching Location: Newcastle City Campus
##### Semesters
 Semester 1 Credit Value: 20 Semester 2 Credit Value: 10 ECTS Credits: 15

#### 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

Introduction to statistics and associated mathematical tools: 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 derivation, 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. Vectors, Introduction to vector calculus, Introduction to matrices. Matrix algebra. Determinants, Inverse via the adjoint., Eigenvalues & Eigenvectors, Rotation matrices, Spherical coordinates. Laplace’s equation and gravity. Linear regression. Set theory & Boolean algebra, Truth tables.

#### Teaching Methods

Please note that module leaders are reviewing the module teaching and assessment methods for Semester 2 modules, in light of the Covid-19 restrictions. There may also be a few further changes to Semester 1 modules. Final information will be available by the end of August 2020 in for Semester 1 modules and the end of October 2020 for Semester 2 modules.

##### Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture141:0014:00Present in person
Scheduled Learning And Teaching ActivitiesLecture141:0014:00Synchronous on-line material
Structured Guided LearningLecture materials541:0054:00Non-Synchronous Activities
Guided Independent StudyAssessment preparation and completion451:0045:00N/A
Structured Guided LearningStructured non-synchronous discussion271:0027:00N/A
Scheduled Learning And Teaching ActivitiesDrop-in/surgery61:006:00Office hour or discussion board activity
Guided Independent StudyIndependent study1401:00140:00N/A
Total300:00
##### Teaching Rationale And Relationship

Non-synchronous online materials are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on assessed work. Present-in-person and synchronous online sessions are used to help develop the students’ abilities at applying the theory to solving problems and to identify and resolve specific queries raised by students, and to allow students to receive individual feedback on marked work. Students who cannot attend a present-in-person session will be provided with an alternative activity allowing them to access the learning outcomes of that session. In addition, office hours/discussion board activity will provide an opportunity for more direct contact between individual students and the lecturer: a typical student might spend a total of one or two hours over the course of the module, either individually or as part of a group.
Alternatives will be offered to students unable to be present-in-person due to the prevailing C-19 circumstances.
Student’s should consult their individual timetable for up-to-date delivery information.

#### Assessment Methods

Please note that module leaders are reviewing the module teaching and assessment methods for Semester 2 modules, in light of the Covid-19 restrictions. There may also be a few further changes to Semester 1 modules. Final information will be available by the end of August 2020 in for Semester 1 modules and the end of October 2020 for Semester 2 modules.

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.