Course Title: Advanced Engineering Mathematics 1

Part B: Course Detail

Teaching Period: Term1 2010

Course Code: MATH5153

Course Title: Advanced Engineering Mathematics 1

School: 155T Life & Physical Sciences

Campus: City Campus

Program: C6011 - Advanced Diploma of Engineering (Aerospace)

Course Contact : Ray Rozen

Course Contact Phone: +61 3 9925 4699

Course Contact

Name and Contact Details of All Other Relevant Staff


Selva Venkatesan

Course Contact Phone : + 61 3 9925 4964

Course Contact Email

Room 51-07-05

Dr. Donna Baker

Phone : +61 3 9925 5085

Email :

Room : 8.9.73

Course Contact  Email 

Fax:(03) 9925 1748 

Nominal Hours: 60

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

Pre-requisites and Co-requisites

Equivalent to MATH5156 Aerospace Mathematics 1

Course Description

The purpose of this course is to provide participants with the skills, knowledge and attitudes required to perform fundamental mathematical procedures and processes for solution of engineering problems, particularly the use of calculus and vector analyses. The course aims to show the relevance of mathematics to engineering and applied science.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VBH624 Advanced Engineering Mathematics 1

Learning Outcomes


1. Apply the principles of Vector algebra to solve a variety of basic problems in engineering and Applied Science

2. Apply the principles of Analytical Geometry and vector analysis to determine the equations of the straight lines and planes in Three Dimensional Space

3.Differentiate the functions involving Exponential, Logarithmic, trigonometric, Inverse Trigonometric, Hyperbolic and Inverse Hyperbolic Functions.

4. Apply the principles of Differential Calculus to solve a variety of practical problems in Engineering and Applied Science.

5. Aplly the principles of Partial Differentiation, Directional Derivatives, and Double integral.

6.Use various types of Series to test the convergence and divergence - Ratio Test.

Details of Learning Activities

Students will be provided with classroom tutorial instruction in each of the units in order to complete the learning outcomes using the recommended prescribed text.

Teaching Schedule

08 FEB 1 Introduction to Vectors Algebra
15 FEB 2 Dot and Cross Product with Applications
22 FEB 3 Application of Vectors to LInes
01 MAR4 Application of Vectors to Planes
08 MAR5 Logarithmic Differentiation
15 MAR6 Derivatives of Inverse Trigonometric Functions
22 MAR7 Derivatives of Hyperbolic Functions
29 MAR8 Revision
12 APR 9 Test 1 worth 35%
19 APR10  Functions of Several Variables, Partial Derivatives
26 APR11 Directional Derivatives
03 MAY 12 Multiple Integrals
10 MAY13 Arithmetic and Geometric Progression
17 MAY14 Telescoping Series, Ratio Test
24 MAY 15 Taylor Series and Approximation of Differentiable Functions
31 MAY16 Revision
07 JUN17 Test 2 worth 55 %

Learning Resources

Prescribed Texts

Set of Lecture Notes


Advanced Engineering Mathematics, Second Edition, P. V. O'Neil


Other Resources

Students will be expected to bring either a scientific or graphic calculator to every class. 

Overview of Assessment

Assessment consists of Mid Semester Test (35%), Final Semester Examination (55%) and an Assignment(10%).

Assessment Tasks

Mid Semester Test

Topics: Vector Algebra, Dot and Cross Product of Vectors, Application to Lines and Planes, Further Differentiation including Logarithmic differentiation, Derivatives of Hyperbolic and Inverse Hyperbolic functions.

Duration: 2 hours

Date: The week beginning 12th April

Worth: 35% of overall score


Topics: Vector Algebra & Functions of Several Variables 

Duration: 2 Weeks

Date: The week beginning 03rd May

Worth: 10% of overall score

Final Semester Examination

Topics: Fuctions of Several Variables and Series

Duration: 2 hours.

Date: The week beginning 7th June

Worth: 55% of overall score.

Note: This course outline is subject to change. Students should check with their lecturer.


Assessment Matrix

Course Overview: Access Course Overview