Swinburne University of Technology - Melbourne Australia
Future Students - Courses
Duration
Contact Hours
Campus
Prerequisite
Corequisite
1 Semester
90 hours
Hawthorn
UHT112 Engineering Mathematics 2 or equivalent.
Nil
Credit Points: 12.5 Credit Points
A unit of study in the Associate Degree in Engineering
To introduce students to the computer package Mathematica To provide students with mathematical and statistical knowledge and skills to support their concurrent and subsequent engineering studies.
Lectures, Tutorials/Laboratories
Examinations (60% - 90%), Assignments (10% – 40%) Actual allocation of marks will be specified in the Unit of Study Outline.
This unit will contribute to helping students achieve some of the attributes expected of Swinburne graduates. The material chosen for this unit reflects the mathematical and quantitative knowledge and skills expected in your chosen profession, and will be linked as far as possible, through choices of examples and problems, with current professional practice. The graduate attributes which relate to this unit help to produce students who: Are capable in their chosen professional areas: Students will attain mathematical and statistical knowledge and skills that will support their professional work. This will include abilities in critical enquiry, an awareness of the relationship between mathematical and statistical theory and practice and an appreciation of the limitations of mathematical and statistical models Are adaptable and manage change: Problem-solving and research skills are parts of mathematical and statistical abilities and enable students to investigate problems and issues of their own devising as well as those covered in this unit Are aware of environments: Using appropriate technology will be an important part of this subject and will assist students to develop a socially responsible awareness of the role of technology in society. The development of mathematical, statistical and research skills will contribute to students being able to evaluate the impact of their professional decisions that have economic, social or environmental implications
Introduction to Mathematica Fourier series: Fourier series expansion, functions defined over a finite interval, differentiation and integration of Fourier series, engineering application Functions of a complex variable: Complex functions and mappings, complex differentiation, complex series, singularities, zeros and residues, contour integration, engineering application Laplace transforms: The Laplace transform, properties of the Laplace transform, solution of differential equations, step and impulse functions, transfer functions, engineering application Applied probability and statistics: Probabilities of random events, random variables, the Central Limit Theorem, important practical distributions, estimating parameters, control charts, Poisson processes and simple queues, engineering application
James, G et al., Advanced Engineering Mathematics, Addison-Wesley, 1994.
Ostle, B et al., Engineering Statistics, Duxbury, 1996.
