# Course Title: Advanced Engineering Mathematics 2

## Part B: Course Detail

Teaching Period: Term1 2013

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: Tatjana Grozdanovski
Room: 51.4.16
Email: tatjana.grozdanovski@rmit.edu.au
Phone: 9225 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 12 Feb 1 Integration techniques –Method of Substitution 19 Feb 2 Integrate Algebraic, Trigonometric, Logarithmic and Exponential functions 26 Feb 3 Partial Fraction Method and Application of Integration 05 Mar 4 Integration of Inverse Trigonometric Functions 12 Mar 5 Integration by Parts 19 Mar 6 Test 1 worth 40% 26 Mar 7 Complex Number System – Rectangular Form 02 Apr EASTER BREAK 09 Apr 8 Complex Number System - Polar Form 16 Apr 9 Euler’s Formula and Roots of a Complex Number 23 Apr 10 Addition, Substraction and Multiplication and division of Matrices of up to 3 X 3 30 Apr 11 Solving system of Linear equations – Cramer’s rule 07 May 12 Solving system of Linear equations – Gaussian Elimination Method & Revision 14 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 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%

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: 19th 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:  14th May

Assessment Matrix

Course Overview: Access Course Overview