Course Title: Advanced Engineering Mathematics 2
Part B: Course Detail
Teaching Period: Term2 2010
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 7, Room 05
Lecturer: Donna Baker
Phone: 99255085
Email: donna.baker@rmit.edu.au
Office Location: Building 8, Level 9, Room 73
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
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
| Week starting | Week No. | Topics |
| 5th July | 1 |
Matrix Theory and Linear Algebra: Definition of matrix, special matrices, matrix algebra: addition, subtraction, scalar multiplication, multiplication. |
| 12th July | 2 | Transpose, determinant, cofactor, adjoin and inverse of a matrix. Symmetric, skew-symmetric, orthogonal, singular and invertible (non-singular) matrices. |
| 19th July | 3 | Solving system of linear equations: Cramer’s rule, Matrix Inverse Method |
| 26th July | 4 | Solving system of linear equations: Gaussian elimination |
| 2nd August | 5 | Gaussian elimination (continued), Eigenvalues and Eigenvectors |
| 9th August | 6 | Eigenvalues and Eigenvectors (continued), Modal matrix and Diagonalization |
| 16th August | 7 | Revision |
| 23rd August | 8 | Mid-Semester Test worth 40% of the total assessment marks |
| 28th Aug – 5th Sept | Mid Semester Break | |
| 6th September | 9 | Brief overview of Integral calculus with applications. Classification of differential equations. |
| 13th September | 10 | Solving First order Differential Equations: Variables separable equations, Linear equations |
| 20th September | 11 | Linear equations (continued), Solving First order Differential Equations: Homogeneous equations. |
| 27th September | 12 | Applications to Engineering problems: Growth and decay problems, Newton’s law of cooling/heating, Electrical problems |
| 4th October | 13 | Second order Differential Equations: Second order homogeneous equations with constant coefficients |
| 11th October | 14 | Second order non-homogeneous equations with constant coefficients , Applications to electrical circuits |
| 18th October | 15 | Revision |
| 25th October | 16 | Revision |
| 1st & 8th November | 17 & 18 | End of Semester Test worth 50% of the total assessment marks |
Learning Resources
Prescribed Texts
The resources include the lecture notes, a recommended text, and other references available in the |
References
References: |
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.
Assessment Tasks
The assessment for this course will consist of:
• Mid-Semester Test worth 40% of the total assessment marks
• End of the Semester Test worth 50% of the total assessment marks
• An assignment worth 10% of the total assessment marks
A minimum of 50% of the total mark is required to pass this course.
Assessment Matrix
Course Overview: Access Course Overview