Engineering Mathematics 3A
Unit code: HMS211
| Credit points | 12.5 Credit Points |
| Duration | 1 Semester |
| Contact hours | 60 hours |
| Campus | Hawthorn, Sarawak |
| Prerequisites | HMS112 or equivalent |
| Corequisites | Nil |
Related course(s)
A unit of study in the;
Aims and objectives
This unit aims to provide you with a coherent and balanced account of major mathematical and statistical techniques and concepts that form the basis of many engineering analysis tools. It will also introduce you to the relevant computer software that will support your engineering studies.
After successfully completing this unit, you should be able to:
1. Appreciate conceptual aspects of Fourier series expansions of periodic and periodically extended functions and apply the technique in practice. (K2, S1)
2. Demonstrate a good understanding of the Laplace transform and use it for solving linear differential equations describing motion and forces. (K2, S1)
3. Use the representation of random variables through the distribution and density functions. (K2, S1)
4. Apply the basic concepts of estimating parameters and hypothesis testing. (K2, S1, S2)
5. Demonstrate understanding of concepts of correlation, regression and analysis of variance. (K2, S1).
6. Operate with functions of complex variables. (K2, S1, S2)
7. Demonstrate practical understanding of derivatives and integrals of elementary functions of complex variables. (K2, S1)
1. Appreciate conceptual aspects of Fourier series expansions of periodic and periodically extended functions and apply the technique in practice. (K2, S1)
2. Demonstrate a good understanding of the Laplace transform and use it for solving linear differential equations describing motion and forces. (K2, S1)
3. Use the representation of random variables through the distribution and density functions. (K2, S1)
4. Apply the basic concepts of estimating parameters and hypothesis testing. (K2, S1, S2)
5. Demonstrate understanding of concepts of correlation, regression and analysis of variance. (K2, S1).
6. Operate with functions of complex variables. (K2, S1, S2)
7. Demonstrate practical understanding of derivatives and integrals of elementary functions of complex variables. (K2, S1)
Swinburne Engineering Competencies for this Unit of Study
This Unit of Study will contribute to you attaining the following Swinburne Engineering Competencies:
K2 Maths and IT as Tools: Proficiently uses relevant mathematics and computer and information science concepts as tools.
S1 Engineering Methods: Applies engineering methods in practical applications.
S2 Problem Solving: Systematically uses engineering methods in solving complex problems.
This Unit of Study will contribute to you attaining the following Swinburne Engineering Competencies:
K2 Maths and IT as Tools: Proficiently uses relevant mathematics and computer and information science concepts as tools.
S1 Engineering Methods: Applies engineering methods in practical applications.
S2 Problem Solving: Systematically uses engineering methods in solving complex problems.
Assessment
| Types | Individual or Group Assessment | Weighting |
| Examination | Individual | 55% - 70% |
| Tests / Assignments | Individual | 30% - 45% |
Content
- Fourier series: Fourier series expansion, functions defined over a finite interval, differentiation and integration of Fourier series, engineering application.
- Laplace transforms: definition of Laplace transform, properties of Laplace transform, evaluation of definite integrals using Laplace transform, solution of differential equations, step function, engineering application.
- Introduction to relevant computer algebra and/or computational software.
- Applied probability and statistics: probabilities of random events, random variables, important practical distributions, estimating parameters, hypothesis testing, correlation and regression, analysis of variance, engineering applications.
- Functions of a complex variable: complex functions, complex differentiation and integration
Reading materials
Ames, G. (2004). Advanced Modern Engineering Mathematics, Addison-Wesley Publishing.Devore, J. L. (2011). Probability & Statistics for Engineering and the Sciences, 8th edition, Brooks/Cole.
Hayter, A. J. (2012). Probability and Statistics for Engineers and Scientists, 4th edition, Duxbury.
Kreyszig, E. (2006). Advanced Modern Engineering Mathematics, (9th edition) John Wiley & Sons.
Stroud, K. A. (2003). Advanced Engineering Mathematics, (4th edition) Macmillan Press.
(Earlier editions of these books can also be used. Note that earlier editions of Stroud are titled Further Engineering Mathematics.)
