Faculty of Engineering
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Dr Leo Brewin and Dr John Head (Clayton - Sem 1); Dr John Head (Clayton - Sem 2); Associate Professor Lan Boon Leong (Malaysia Sem 1 + 2)
Vector algebra and geometry: equations of lines and planes. Linear algebra: matrix operations, up to 3x3 systems of linear equations, eigenvalues and eigenvectors. Calculus: improper integrals, integration by parts. Sequences and series: fundamentals of convergence, Taylor series, use in error analysis. Ordinary differential equations: first order, second order with constant coefficients, repeated roots, simple non-homogeneous cases. Laplace transforms: elementary functions, inversion by tables; shifting; derivatives, applications to ODEs. Multivariable calculus: partial derivatives, gradient and directional derivatives, maxima and minima.
On successful completion of this unit, students will be able to:
Weekly assignments or quizzes: 30%
Final examination (3 hours): 70%
Students are required to achieve at least 45% in the total continuous assessment component and at least 45% in the final examination component and an overall mark of 50% to achieve a pass grade in the unit. Students failing to achieve this requirement will be given a maximum of 45% in the unit.
Three 1-hour lectures (or equivalent), one 2-hour practice class and 7 hours of private study per week
See also Unit timetable information
Dr Leo Brewin (Sem 1 + 2 and Malaysia October intake 2017)
VCE Specialist Mathematics or ENG1090 (or equivalent)