Swinburne University of Technology - Melbourne Australia
Future Students - Courses
Duration
Contact Hours
Campus
Prerequisite
Corequisite
1 Semester
90 hours
Hawthorn
UHT111 Engineering Mathematics 1 or equivalent.
Nil
Credit Points: 12.5 Credit Points
A unit of study in the Associate Degree in Engineering
To provide students with the mathematical knowledge and skills that are 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 a general capacity for flexibility and curiosity Have a broad understanding of the role of technology in our society
Discrete Mathematics: Boolean algebra, switching and logic circuits, simple network analysis, graph theory. Linear Algebra: Matrices, determinants, solution of systems of linear equations, matrix inverse, Gaussian and complete elimination Complex numbers: Arithmetic, geometrical representation, cartesian and polar forms, powers and roots, exponential form, fundamental theorem of algebra Vectors Applications: Lines and planes in 3D, angular velocity, torque Curves: 2D polar co-ordinates, 2D parametric curves, parametric differentiation and antidifferentiation, 3D curves, parametric differentiation and antidifferentiation Surfaces and Partial Differentiation: Standard surfaces as z = f(x,y); relations, parametric forms, 3D polar co-ordinates, drawing 3D pictures of surfaces and 3D curves, partial derivatives, approximations, optimisation Differential Equations: First order separable, exact, linear, orthogonal trajectories, second order linear with constant coefficients and simple right hand sides Note: A graphics calculator will be used extensively in this unit.
Course notes will be available. Graphical calculator
