Course Title: Advanced Engineering Mathematics 1

Part B: Course Detail

Teaching Period: Term2 2008

Course Code: MATH5153

Course Title: Advanced Engineering Mathematics 1

School: 155T Life & Physical Sciences

Campus: City Campus

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

Course Contact : Dr. Ejanul Haque

Course Contact Phone: 9925 4530

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


Name and Contact Details of All Other Relevant Staff

Brian Hayes

Building 51.7.05a

ph 9925 4282

Email:   brian.hayes@rmit.edu.au


Dr. MICHAEL NYBLOM

Course Contact Phone  + 61  3  9925 45 15

Course Contact  Email michael.nyblom@rmit.edu.au

 

Dr. Ejanul Haque

Course Contact Phone + 81 3 9925 18 34

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

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

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

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.


National Codes, Titles, Elements and Performance Criteria

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.


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

WEEK STARTINGWEEK NUMBER CONTENT
07 Jul1 Differentiation of Logarithmic  & Exponential Functions
14 Jul2 Derivatives of Inverse Trigonometric Functions
21 Jul3 Derivative of Hyperbolic Functions
28 Jul4 Introduction to Vectors
4 Aug5Dot and Cross Product
11 Aug6Revision
18 Aug7Test 1 worth 50%
25 Aug8 Application of Vectors to LInes
8 Sep 9 Application of Vectors to Planes 
15 Sep 10  Functions of Several Variables, Partial Derivatives
22 Sep11 Directional Derivatives
29 Sep12 Multiple Integrals
06 Oct 13 Arithmetic and Geometric Progression
13 Oct14 Telescoping Series, Ratio Test
20 Oct15 Taylor Series and Approximation of Differentiable Functions
2 7 Oct16 Revision
3 Nov17 Test 2 worth 50 %


Learning Resources

Prescribed Texts

Set of Lecture Notes


References

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

0-534-06792-1


Other Resources

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


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%)


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 14th April

Worth: 50% of overall score

Final Semester Examination

Topics: Fuctions of Several Variables and Series

Duration: 2 hours.

Date: The week beginning 9th June

Worth: 50% of overall score.

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

 


Assessment Matrix

Course Overview: Access Course Overview