# Course Title: Advanced Engineering Mathematics 1

## Part A: Course Overview

Program: C6016 Advanced Diploma of Engineering Technology (Principal Technical Officer)

Course Title: Advanced Engineering Mathematics 1

Portfolio: SEH Portfolio Office

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.

### Teaching Period(s)

MATH5153

City Campus

TAFE

155T Vocational Health and Sciences

Face-to-Face

Term2 2008,
Term2 2009,
Term2 2010,
Term2 2011,
Term1 2012,
Term2 2012,
Term1 2013,
Term2 2013

Course Contact: Dr. Ejanul Haque

Course Contact Phone: 9925 4530

Course Contact Email: ejanul.haque@rmit.edu.au

Course Description

The purpose of this module 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, vector analysis and infinite series. The subject aims to show the relevance of mathematics to engineering and applied sciences. This module, in conjunction with Advanced Engineering Mathematics 2, also facilitates articulation to Degree courses in all streams of Engineering and forms a basis for more specialist branches of mathematics.

Pre-requisite Courses and Assumed Knowledge and Capabilities

The following modules (or equivalents) should be preferably completed prior to this module:
• EA 002 Engineering Mathematics A
• EA 003 Engineering Mathematics B
• EA 001 Calculus

National Competency Codes and Titles

 National Element Code & Title: VBH624 Advanced Engineering Mathematics 1

Learning Outcomes

On completion of this module the learner should be able to:
1. Simplify expressions and solve simple problems involving Exponential, Logarithmic, Trigonometric, Inverse Trigonometric, Hyperbolic and Inverse Hyperbolic Functions.
2. Use various types of Series to approximate given functions and hence solve simple problems involving Linear and Quadratic approximations and evaluation of integrals.
3. Apply the principles of Three Dimensional Vector algebra to solve a variety of basic problems in Engineering and Applied Science.
4. Apply the principles of Analytical Geometry and vector analysis to determine the equations of and relationships between straight lines and planes in Three Dimensional Space.
5. Represent data in Graphical Form and use graphs to determine constants and variables, and hence the equations of various functions.
6. Apply the principles of Differential Calculus to solve a variety of practical problems in Engineering and Applied Science.

Overview of Assessment

Assessment for this module will consist of the following:

1. Mid semester test ( 40%)
2. Assignment (10%)
3. End semester test (50%)