Swinburne University of Technology - Melbourne Australia
Future Students - Courses
Duration
Contact Hours
Campus
Prerequisite
Corequisite
1 Semester
90 Hours
Hawthorn
VCE Mathematical Methods or equivalent
Nil
Credit Points: 12.5 Credit Points
A unit of study in the Associate Degree in Engineering
To provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering studies To provide students with a thorough grounding in mathematics To lay a foundation for further studies in engineering mathematics
Lectures, tutorials / seminars
Examinations (60% - 90%), Assignments (10% – 40%) Actual allocation of marks will be specified in the Unit of Study Outline.
The graduate attributes which relate to this unit help to produce students who: Are capable in their chosen professional areas Are informed and knowledgeable in the area Have an appreciation of areas of uncertainty within a body of knowledge Have pertinent skills and abilities Understand the relationship between theory and practice Have the ability to effectively communicate using a range of media and in varied contexts Have the general capacity for flexibility and curiosity Have a broad understanding of the role of technology in our society
Number: Error analysis, binary octal and hexadecimal systems Vectors: Basci operations in 2D, introduction to 3D space, basic vectors in 3D, products, projections Algebra: Equations in one-variable: algebra, graphical solution, numerical solution; inequations in one variable: algebra, graphical solution; transformation of equations and formulae Functions and Graphs: Review of functions and graphs, including polynomials, rational functions and a review of trigonometry, problems of domain, limits, asymptotes, partial fractions, inverse trigonometric functions, hyperbolic and inverse hyperbolic functions Differentiation: Rates, approximations, Taylor polynomials, implicit and logarithmic differentiation, optimisation, detailed graphing including inflection, indeterminate forms, limits Integration: Substitution, parts, general techniques, use of extensive tables, areas, centroids, volumes, arc lengths, surface areas, numerical integration Note: A graphics calculator will be used extensively in this subject.
Course notes will be available. Graphical calculator.
