Course Title: Advanced Engineering Mathematics 2
Part B: Course Detail
Teaching Period: Term1 2009
Course Code: MATH5155
Course Title: Advanced Engineering Mathematics 2
School: 155T Life & Physical Sciences
Campus: City Campus
Program: C6011 - Advanced Diploma of Engineering (Aerospace)
Course Contact : Selva Venkatesan
Course Contact Phone: +61 3 9925 4964
Course Contact Email:selva.venkatesan@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Teacher: Aleksandra Labovic
email: aleksandra.labovic@rmit.edu.au
phone: 9925 3763
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
MATH5153 Advanced Engineering Mathematics 1
Course Description
The purpose of this course is to provide participants with the skills, knowledge and attitudes required to further extent the concepts learned in Advanced Mathematics 1. Areas of study include Integral Calculus, Complex Numbers, Differential Equations, Statistics and Linear Algebra. 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: |
VBH625 Advanced Engineering Mathematics 2 |
Learning Outcomes
1. Apply the principles of Integral Calculus to solve a variety of practical problems in Engineering and Applied Science.
2. Express Complex Numbers in Cartesian, Polar, Trigonometric, Exponential and Logarithmic form, and use the theory of complex numbers to solve various practical problems in Engineering and Applied Science.
3. Apply the theory of first and Second Order Differential Equitations to solve various practical problems involving the Kinematics and Kinetics of Resisted Gravitational, Simple Harmonic and Vibratory Motion.
4. Describe and represent graphically statistical data in terms of measures of Central Tendency and measures of Dispersion.
5. Use a variety of Matrix and Numerical methods, including the use of appropriate computer software to solve Systems of Equations
Details of Learning Activities
Students will be provided with classroom tutorial instruction in each of the units in order to complete the learning outcomes, tasks and assessment outcomes using provided and recommended materials, references and the textbook
Teaching Schedule
| Week Starting |
Week No. | Content |
| 09 Feb | 1 | Integration techniques –Method of Substitution |
| 16 Feb | 2 | Integrate Algebraic, Trigonometric, Logarithmic and Exponential functions |
| 23 Feb | 3 | Partial Fraction Method and Application of Integration |
| 02 Mar | 4 | Integration of Inverse Trigonometric Functions |
| 09 Mar | 5 | Integration by Parts |
| 16 Mar | 6 | Test 1 worth 40% |
| 23 Mar | 7 | Complex Number System – Rectangular Form |
| 30 Mar | 8 | Complex Number System - Polar Form |
| 6 Apr | 9 | Euler’s Formula and Roots of a Complex Numbers |
| 13 Apr | Easter Break | |
| 20 Apr | 10 | Addition, Substraction and Multiplication and division of Matrices of up to 3 X 3 |
| 27 Apr | 11 | Solving system of Linear equations – Cramer’s rule |
| 04 May | 12 | Solving system of Linear equations – Gaussian Elimination Method & Revision |
| 11 May | 13 | Test 2 worth 40% |
Learning Resources
Prescribed Texts
RMIT Lecture Notes |
References
Engineering Mathematics, Fifth Edition, K.A.Stroud |
Other Resources
Overview of Assessment
Assessment consists of a Mid-Semester test, and Assignment and a Final Examination.
Assessment Tasks
Project 1
Date: The week beginning with 2nd Mar
Worth: 10% of overall score
Mid Semester Test
Topics:
1. Integration techniques –Method of Substitution
2. Integrate Algebraic, Trigonometric, Logarithmic and Exponential functions
3. Partial Fraction Method and Application of Integration.
4. Integration of Inverse Trigonometric Functions
5. Integration by Parts
Duration: 2 hours
Date: The week beginning with 17th Mar
Worth: 40% of overall score
Project 2
Date: The week beginning with 20th Apr
Worth: 10% of overall score
Final Semester Examination
Topics:
1. Complex Number System – Rectangular Form
2. Complex Number System - Polar Form
3. Euler’s Formula and Roots of a Complex Numbers
4. Addition, Substraction and Multiplication and division of Matrices of up to 3 X 3
5. Solving system of Linear equations – Cramer’s rule
6. Solving system of Linear equations – Gaussian Elimination Method & Revision
Duration: 2 hours
Worth: 40% of overall score
Date: The week beginning with 11th May
Assessment Matrix
Course Overview: Access Course Overview