6 points, SCA Band 2, 0.125 EFTSL
Undergraduate - Unit
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Faculty
Organisational Unit
School of Mathematical Sciences
Coordinator(s)
Associate Professor Burkard Polster
Unit guides
Synopsis
Solution of systems of linear equations using Gaussian elimination; matrices, determinants, eigenvalues and eigenvectors; introduction to vectors; methods of integration - substitutions and integration by parts; solution of first-order ordinary differential equations - separable, use of integrating factor; solution of second-order linear ordinary differential equations with constant coefficients and applications; Taylor series and series convergence; the remainder term.
Outcomes
On completion of this unit students will be able to:
- Understand the basic concepts of linear algebra, recognise and manipulate elements of vector spaces;
- Formulate and solve equations involving vectors and matrices, including for three-dimensional geometry;
- Identify and evaluate improper integrals;
- Solve simple first and second order differential equations, and formulate them for applications to physical systems;
- Compute Taylor series expansions, with remainder, for functions of one variable;
- Apply Taylor series and l'Hopital's rule to compute limits;
- Understand and compute the convergence properties of infinite series;
- Provide written reports that contain complete mathematical arguments.
Assessment
Examination (2 hours): 60% (Hurdle)
Continuous assessment: 40%
Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for the end-of-semester exam.
Workload requirements
Three 1-hour lectures and one 2-hour support class per week
See also Unit timetable information
Chief examiner(s)
This unit applies to the following area(s) of study
Prerequisites
MTH1020 or VCE Specialist Mathematics units 3 and 4 with a study score of at least 30