Course Title: Advanced Engineering Mathematics 1
Part B: Course Detail
Teaching Period: Term1 2011
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 Email:ray.rozen@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Selva Venkatesan
Course Contact Phone : + 61 3 9925 4964
Course Contact Email selva.venkatesan@rmit.edu.au
Room 51-07-05
Mr. Ray Rozen
Phone : +61 3 9925 4699
Email : ray.rozen@rimt.edu.au
Room : 51.06.03
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
| WEEK STARTING | WEEK NUMBER | CONTENT |
| 07 FEB | 1 | Introduction to Vectors Algebra |
| 14 FEB | 2 | Dot and Cross Product of vectors |
| 21 FEB | 3 | Resolution of vectors |
| 28 Feb | 4 | Equation of planes and lines |
| 07 MAR | 5 | Logarithmic Differentiation |
| 14 MAR | 6 | Derivatives of Inverse Trigonometric Functions |
| 21 MAR | 7 | Derivatives of Hyperbolic Functions |
| 28 MAR | 8 | Revision |
| 04 APR | 9 | Test 1 worth 35% |
| 11 APR | 10 | Functions of Several Variables - Partial Derivatives |
| 18 APR | 11 | Mid Semester Break |
| 25 Apr | 12 | Directional Derivatives |
| 02 MAY | 13 | Multiple Integrals |
| 09 MAY | 14 | Arithmetic and Geometric Progression |
| 16 MAY | 15 | Telescoping Series and Ratio Test |
| 23 MAY | 16 | Taylor Series and Approximation of Differentiable Functions |
| 30 May | 17 | Revision |
| 06 Jun | 18 | Test 2 worth 55 % |
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 consists of Mid Semester Test (35%), Final Semester Examination (55%) and an Assignment(10%).
Assessment Tasks
Mid Semester Test
Topics: Vectors & Further Differentiations
Duration: 2 hours
Date: The week beginning 12th April
Worth: 35% of overall score
Assignment
Topics: Vector Algebra , Further Differentiations and 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