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 STARTING | WEEK NUMBER | CONTENT |
| 07 Jul | 1 | Differentiation of Logarithmic & Exponential Functions |
| 14 Jul | 2 | Derivatives of Inverse Trigonometric Functions |
| 21 Jul | 3 | Derivative of Hyperbolic Functions |
| 28 Jul | 4 | Introduction to Vectors |
| 4 Aug | 5 | Dot and Cross Product |
| 11 Aug | 6 | Revision |
| 18 Aug | 7 | Test 1 worth 50% |
| 25 Aug | 8 | Application of Vectors to LInes |
| 8 Sep | 9 | Application of Vectors to Planes |
| 15 Sep | 10 | Functions of Several Variables, Partial Derivatives |
| 22 Sep | 11 | Directional Derivatives |
| 29 Sep | 12 | Multiple Integrals |
| 06 Oct | 13 | Arithmetic and Geometric Progression |
| 13 Oct | 14 | Telescoping Series, Ratio Test |
| 20 Oct | 15 | Taylor Series and Approximation of Differentiable Functions |
| 2 7 Oct | 16 | Revision |
| 3 Nov | 17 | 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:
- Mid semester test ( 40%)
- Assignment (10%)
-
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