# Course Title: Geospatial Mathematics II

## Part A: Course Overview

Course ID: 014812

Course Title: Geospatial Mathematics II

Credit Points: 6

### Teaching Period(s)

MATH1082

City Campus

145H Mathematical & Geospatial Sci

Face-to-Face

Sem 2 2006

Course Coordinator: Gary Fitz-Gerald

Course Coordinator Phone: +61 3 9925 2278

Course Coordinator Email: garyfitz@rmit.edu.au

Course Coordinator Location: 8.9.32

Pre-requisite Courses and Assumed Knowledge and Capabilities

A passing grade in math1081A and math1181B or equivalent.

Course Description

On successful completion of this course you will be able to
. apply the core mathematical skills such as arithmetic, algebraic manipulation,
elementary geometry and trigonometry to a range of problems;
. recognise the main properties of complex numbers; apply complex numbers to the
solution of algebraic equations;
. recognise and apply the main techniques of integral calculus;
. identify elementary surfaces, determine partial derivatives and apply them to
determine gradients, normal vectors and tangent planes, and to solve
maxima/minima problems; use and evaluate double integrals;
. formulate and solve differential equations;
. recognise the basic properties of infinite series and apply power series to problems
involving approximation of functions.

Objectives/Learning Outcomes/Capability Development

Problem solving and decision-making:Ability to formulate and solve problems
creatively, especially those in which a description of the problem is given in words
only.

Technical competence:
Ability to apply the core mathematical skills and techniques presented in this course
to problems relevant to the geospatial scientist, e.g. algebraic manipulation,
evaluation of partial derivatives and ordinary and double integrals, solution of
differential equations.

Communication:
Ability to communicate effectively in writing (both verbally and graphically).

Overview of Learning Activities

You will attend lectures where the underlying theory will be presented. A
number of practice classes or WebLearn tests will reinforce the material covered in
lectures and in your personal study. The practice class is designed to
assist understanding and to provide two-way feedback. Your capacity to
solve problems and to think critically and analytically will be addressed in each
practice class by a challenging problem or problems.

You will be encouraged to seek assistance at the Department’s Drop-In-Centre:
times and other details are provided at the URL:
http://www.ma.rmit.edu.au/kepler/drop-in/drop-in.html

Overview of Learning Resources

The following learning resources may be useful:

Prescribed Text
Fitz-Gerald, G. and Peckham, I., "Mathematical Methods for Engineers and
Scientists" Prentice Hall.
Fitz-Gerald, G. F. (ed.), "Tables", RMIT Lecture Notes in Mathematics.

References
Stewart, J., "Calculus", Brooks/Cole.
Zill, D.G., "Calculus", PSW-Kent.
Swokowski, G., "Calculus with Analytical Geometry", Prindle, Weber, Schmidt.
Thomas, G. and Finney, R., "Calculus and Analytic Geometry", Addison-Wesley.

Overview of Assessment

Continuous assessment (four class exercises) - 4 x 5%
3-hour final examination 80%