Course Title: Advanced Engineering Mathematics 2
Part B: Course Detail
Teaching Period: Term1 2012
Course Code: MATH5155
Course Title: Advanced Engineering Mathematics 2
School: 155T Life & Physical Sciences
Campus: City Campus
Program: C6016 - Advanced Diploma of Engineering Technology (Principal Technical Officer)
Course Contact : Tatjana Grozdanovski
Course Contact Phone: +61 3 9925 4689
Course Contact Email:tatjana.grozdanovski@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Dr Tatjana Grozdanovski
Email: tatjana.grozdanovski@rmit.edu.au
Office: 51.4.16
Phone: 9925 4689
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 module (or equivalent) should be preferably completed prior to this module:
• VBH 624 Advanced Engineering Mathematics 1
Course Description
The purpose of this module is to provide participants with the skills, knowledge and attitudes required to further extend the concepts learned in Advanced Mathematics 1 to include the topics of Integral Calculus, Complex Numbers, Differential Equations, Statistics and Linear Algebra. The subject aims to show the relevance of mathematics to engineering and applied science. This module, in conjunction with Advanced Engineering Mathematics 1, 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: |
VBH625 Advanced Engineering Mathematics 2 |
Learning Outcomes
On completion of this module the learner should be able to:
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 Equations 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
Date |
Week No. |
Content |
07 Feb | 1 | Integration techniques –Method of Substitution |
14 Feb | 2 | Integrate Algebraic, Trigonometric, Logarithmic and Exponential functions |
21 Feb | 3 | Partial Fraction Method and Application of Integration |
28 Feb |
4 | Integration of Inverse Trigonometric Functions |
06 Mar | 5 | Integration by Parts |
13 Mar | 6 | Test 1 worth 40% |
20 Mar | 7 | Complex Number System – Rectangular Form |
27 Mar | 8 | Complex Number System - Polar Form |
3 Apr | 9 | Euler’s Formula and Roots of a Complex Numbers |
10 Apr | Easter Break |
|
17 Apr | 10 | Addition, Substraction and Multiplication and division of Matrices of up to 3 X 3 |
24 Apr | 11 | Solving system of Linear equations – Cramer’s rule |
01 May | 12 | Solving system of Linear equations – Gaussian Elimination Method & Revision |
8 May | 13 | Test 2 worth 40% |
NOTE: Dates and activities may alter. Students will be advised in advance. |
Learning Resources
Prescribed Texts
RMIT Lecture Notes |
References
Engineering Mathematics, Fifth Edition, K.A.Stroud |
Other Resources
Overview of Assessment
Assessment for this module will consist of the following:
Three in class tutorials worth 20% together
One mid semester test worth 40%
One final examination worth 40%
Assessment Tasks
Tutorials
Three tutorials per trimester.
Duration: ~30 min each
Combination of three tutorials worth 20% 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: 13th March
Worth: 40% 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: 8th May
Assessment Matrix
Course Overview: Access Course Overview