451-208 Mathematics 2 (Geomatics)

Credit Points

Coordinator

Prerequisites

620-142 Intermediate Mathematics B or equivalent subject and 620-160 Experimental Design and Data Analysis

Corequisites

620-200 Mathematics 2

Semester

Contact

Subject Description

The objective of this subject is to apply theories gained in earlier mathematical studies to fundamental problems associated with practice in Geomatics. Topics covered include:

Review of vector operations: the determination of angles between vectors and planes, intersection of vectors and planes, location of circles and spheres, development of spherical trigonometry formulae.

Review of matrix operations: multiplication, transposition, inversion, partitioning, orthogonal and rotation matrices; application to coordinate transformations and determination of variance-covariance matrices; diagonalisation by elementary and orthogonal matrices; the establishing of rank; curve fitting by least squares; symmetric matrices and their eigenvalues, idempotency, positive definiteness; application in least squares estimating; solution of non-linear equations.

Assessment

Not more than three hours of written examinations and tests and not more than the equivalent of 40 pages of written assignments and reports on practical work. The relative weighting of the assessment components will be published at the commencement of the subject