Course Title: Advanced Engineering Mathematics 2

Part B: Course Detail

Teaching Period: Term1 2008

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

Teacher: Selva Venkatesan                                         Teacher: David Farmer
Phone:     (03) 9925 4964                                               Phone:9925 2683
Email:       selva.venkatesan@rmit.edu.au                Email: david.farmer@rmit.edu.au

Office:      51.07.05                                                          Office: 8.9.68

Location: Level 7
Building : 51
80 Victoria Street
CARLTON 3053

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

Week
Starting
Week No.Content
11 Feb1Integration techniques –Method of Substitution
18 Feb2Integrate Algebraic, Trigonometric, Logarithmic and Exponential functions
25 Feb3Partial Fraction Method and Application of Integration
03 Mar4Integration of Inverse Trigonometric Functions
10 Mar5Integration by Parts
17 Mar6Test1 worth 50%
24 Mar Easter Break
31 Mar7Complex Number System – Rectangular Form
7 Apr8Complex Number System - Polar Form
14 Apr9Euler’s Formula and Roots of a Complex Numbers
21 Apr10Addition, Substraction and Multiplication and division of Matrices of up to 3 X 3
28 Apr11Solving system of Linear equations – Cramer’s rule
05 May12Solving system of Linear equations – Gaussian Elimination Method & Revision
12 May13Test 2 worth 50%


Learning Resources

Prescribed Texts

RMIT Lecture Notes
Mathematical Methods for Engineers and Scientists, Fourth Edition, G.F. Fitz-Gerald & I.A. Peckham


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

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: 50% 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
7.
Duration: 2 hours

Date: The week beginning with 12th May


Assessment Matrix

Course Overview: Access Course Overview