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: 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
Raymond Rozen
51.4.05
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
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.
1. Use a variety of Matrix and Numerical methods, including the use of appropriate computer software to solve Systems of Equations
2. Apply the principles of Integral Calculus to solve a variety of 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.
Teaching Schedule
Aerospace Math 5155
Week No. Date Topics Teaching Schedule
1 10th February Matrix Theory and Linear Algebra:
Definition of matrix, special matrices, matrix algebra: addition, subtraction, scalar multiplication, multiplication.
2 17th February Solving system of linear equations, Graphical method, Cramer’s rule, Matrix, singular and invertible (non-singular) matrices. Inverse Matrix Method.
3 24th February Solving system of linear equations: Gaussian elimination.
4 2nd March Transpose, determinant, cofactor, adjoint and inverse of a 3x3 matrix. Symmetric, skew-symmetric, orthogonal.
5 9th March Eigenvalues and Eigenvectors.
6 16th March Eigenvalues and Eigenvectors, Modal matrix and Diagonalization.
7 23rd March Revision Brief overview of Integral calculus with applications.
8 30th March Mid-Semester Test worth 40% of the total assessment marks
9 6th April 9 Easter Break
10 13th April Differential Equations and Applications: Classification of differential equations. Solving First order Differential Equations, Type I, II and III. Variables separable equations.
11 20th April Applications of differential equations, growth and decay problems, Newton’s law of cooling and Electrical problems.
12 27th April Linear equations, Integrating factor, Solving First order Differential Equations: Homogeneous equations.
13 4th May Second order Differential Equations: Second order homogeneous equations with constant coefficients
14 11th May Second order non-homogeneous equations with constant coefficients , Applications to electrical circuits.
15 18th May Revision
16 25th May End of Semester Test worth 50% of the total assessment marks
NOTE: Dates and activities may change, students will be advised of any changes.
Learning Resources
Prescribed Texts
References
The resources include the lecture notes, a recommended text, and other references available in the |
Other Resources
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
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