# Course Title: Advanced Engineering Mathematics 2

## Part B: Course Detail

Teaching Period: Term2 2012

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

Lecturer: Selva Venkatesan

Phone: 99254964
Email: selva.venkatesan@rmit.edu.au
Office Location: Building 51, Level 4, Room 09

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

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

The learning activities for this course include:
• Attending lectures at which the course content will be presented and taught with appropriate examples
• Completing the assigned questions during class time
• Private study, consolidating the material provided/recommended in class and completing all required exercises and other tasks.

Teaching Schedule

Teaching Schedule
 Week No. Topics 1 Matrix Theory and Linear Algebra: Definition of matrix, special matrices, matrix algebra: addition, subtraction, scalar multiplication, multiplication. 2 Transpose, determinant, cofactor, adjoin and inverse of a matrix. Symmetric, skew-symmetric, orthogonal, singular and invertible (non-singular) matrices. 3 Solving system of linear equations: Cramer’s rule, Matrix Inverse Method 4 Solving system of linear equations: Gaussian elimination 5 Gaussian elimination (continued), Eigenvalues and Eigenvectors 6 Eigenvalues and Eigenvectors (continued), Modal matrix and Diagonalization 7 Brief overview of Integral calculus with applications. Classification of differential equations. 8 Solving First order Differential Equations: Variables separable equations, Linear equations 9 Linear equations (continued), Solving First order Differential Equations: Homogeneous equations. 10 Applications to Engineering problems: Growth and decay problems, Newton’s law of cooling/heating, Electrical problems 11 Second order Differential Equations: Second order homogeneous equations with constant coefficients 12 Second order non-homogeneous equations with constant coefficients , Applications to electrical circuits

Learning Resources

Prescribed Texts

 The resources include the lecture notes, a recommended text, and other references available in the library . Recommended Text: Mathematical Methods for Engineers and Scientists By G.F. Fitzgerald and I.A. Peckham Publishers: Pearson Education Australia

References

 References: 1. Advanced Engineering Mathematics 9th Ed. By Erwin Kreyszig Publishers: John Wiley and Sons 2.Advanced Engineering Mathematics By K.A. Stroud with additions by Dexter J. Booth; 4th Ed. Publishers: Palgrave MacMillan

Other Resources

Required Calculator:

TI 83/TI 83+/TI 84/TI 84+

Overview of Assessment

Assessment consists of a Mid-Semester test, and Assignment and a Final Examination.