Global Opportunities

CEG1716 : Geospatial Mathematics and Statistics

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. 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

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. Synchronous on-line
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.

Reading Lists

Timetable