Course Title: Vector Calculus Methods and Geometry of Surfaces

Part A: Course Overview

Course Title: Vector Calculus Methods and Geometry of Surfaces

Credit Points: 12.00

Course Code




Learning Mode

Teaching Period(s)


City Campus


145H Mathematical & Geospatial Sciences


Sem 1 2006,
Sem 1 2008,
Sem 1 2009,
Sem 1 2010,
Sem 1 2011,
Sem 1 2013,
Sem 1 2014,
Sem 1 2015,
Sem 1 2016

Course Coordinator: Assoc Prof John Shepherd

Course Coordinator Phone: +(61 3) 9925 2587

Course Coordinator Email:

Course Coordinator Location: 8.9.22

Pre-requisite Courses and Assumed Knowledge and Capabilities

You are expected to have capabilities consistent with the successful completion of MATH2164 Mathematics for Surveying & Geomatics B or its equivalent.

Course Description

This course further develops your knowledge, skills and their application gained in MATH2164 Mathematics for Surveying & Geomatics B.  You will be introduced to mathematical techniques of increasing complexity required by surveyors and geomaticians. The course will specifically foster your technical competence in both Vector Calculus Methods and the Geometry of Surfaces. You will work with the mathematical software package Maple to further support your learning.  MATH2165 provides a sound foundation and the necessary mathematical techniques for more advanced studies in surveying and geomatic courses.

Objectives/Learning Outcomes/Capability Development

This course contributes to the following Program Learning Outcomes for BH116 Bachelor of Applied Science (Surveying)

  • theoretical knowledge: you will develop your knowledge of higher dimensional differential and integral calculus, together with the fundamental theorems used in this area of study.
  • technical ability: with its emphasis on problem solving, this course will prepare you to be able to analyse the physical world in a systematic manner.
  • critical analysis and problem solving: you will be introduced to the mathematical formulation of real world problems and their solution methods.
  • communication: your capabilities will be improved through regular feedback on your written work. 

On successful completion of this course you will be able to:

  1. Apply vector algebra techniques to analyse problems involving two and three dimensional entities – lines, curves, planes and surfaces.
  2. Employ the techniques of the higher dimensional differential calculus in problems of physical interest.
  3. Utilize the techniques of the higher dimensional integral calculus in problems of physical interest.
  4. Identify the fundamental theorems linking (a) and (b) in problem solving exercises arising in applications.
  5. Analyse the structure and nature of surfaces.


Overview of Learning Activities

All learning activities are student-centred, designed to interest and motivate you to be actively involved in your study.  Our lectures are example-driven and application-based. More specifically your learning activities consist of:

  • Your attendance at lectures where syllabus material will be presented and explained and the topic illustrated with demonstrations and examples.
  • Completion of supervised practice classes and computer laboratories designed to build your capacity to solve problems, think critically and analytically and obtain further practice in the application of theory and procedures. These classes are open-book and you are encouraged to work collaboratively with your peers and seek help from the class tutors before submitting your individual solutions.
  • Your assessment will consist of assignments, Maple labs and a formal  examination.


Overview of Learning Resources

This course will be supported online through myRMIT which will give you access to important announcements, a discussion forum, staff contact details, the teaching schedule, online notes, assessment timelines, review exercises and past exam papers. We encourage you to read your student e-mail and visit myRMIT frequently for  important announcements and course-related documents.

A library subject guide is available at:

Overview of Assessment

X☐This course has no hurdle requirements.

Assessment Tasks:

Early Assessment Task: Bi-weekly in-class tests

Weighting 30%

This assessment task supports CLOs  1, 2, 3, 4 & 5

Assessment Task 2: Bi-weekly Maple labs

Weighting 20%

This assessment task supports CLOs  1, 2, 3, 4 & 5


Assessment Task 3: Final Exam

Weighting 50% 

This assessment supports CLOs  1, 2, 3, 4 & 5