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Modules

Modules

CEG2705 : Survey Mathematics

Semesters
Semester 1 Credit Value: 10
ECTS Credits: 5.0

Aims

To present and describe the mathematical skills which are essential for a better understanding of various aspects of surveying, many of which rely upon, or develop from, a mathematical background.

Module Summary

This module will further the mathematical skills which are essential for a better understanding of various aspects of surveying, many of which rely on, or develop from, a mathematical background.

Outline Of Syllabus

Introduction
Elementary differentiation
Partial differentiation
Expansions & linearisation
Stationary points of functions of two variables
Matrix algebra – revision
Determinants
Inverse via the adjoint
Eigenvalues & e-vectors
Rotation matrices
Spherical coordinates
Vectors
Intro. to vector calculus
Laplace’s equation & gravity
Set theory & Boolean algebra
Truth tables
Revision

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Guided Independent StudyAssessment preparation and completion12:002:00Unseen Exam
Scheduled Learning And Teaching ActivitiesLecture121:0012:00Tutorials
Scheduled Learning And Teaching ActivitiesLecture112:0022:00Formal lectures
Guided Independent StudyAssessment preparation and completion93:0027:00Written assignments
Scheduled Learning And Teaching ActivitiesLecture12:002:00Revision lectures
Guided Independent StudyAssessment preparation and completion111:0011:00Revision for unseen Exam
Scheduled Learning And Teaching ActivitiesDrop-in/surgery240:000:00Office Hours in a staff office
Guided Independent StudyIndependent study119:3019:30Studying, practising and gaining understanding of course material
Guided Independent StudyIndependent study90:304:30Assignment review
Total100:00
Teaching Rationale And Relationship

Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Tutorials are used to discuss the course material, identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. Office hours provide an opportunity for more direct contact between individual students and the lecturer.

Assessment Methods

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

Exams
Description Length Semester When Set Percentage Comment
Written Examination1201A80Unseen Written Examination
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M20In-class tests
Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the
material in this module. In class tests (approximately 3 of approximately equal weight)
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; this
is thus formative as well as summative assessment.

Reading Lists

Timetable