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.
The unit covers linear algebra (vectors, equations of lines and planes, solutions of simultaneous equations, determinates, Gauss elimination, Gauss-Jordan method), calculus topics (differentiation, parametric differentiation, fundamental theorem of calculus, and numerical integration), an introduction to multivariable calculus (functions of several variables, partial derivatives, tangent planes and directional derivatives), and the construction of splines and Taylor series expansions are also covered.
At the completion of this unit, students should be able to:
- demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;
- explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;
- calculate approximations of functions with tangent lines, evaluate power series and construct Taylor series;
- perform key skills in the calculus of functions of several variables including the calculation of partial derivatives, find tangent planes and identify stationary points.
Semester 1: Examination (3 hours): 70%; In-semester assessment: 30%
Semester 2: Examination (3 hours): 60%; In-semester assessment: 40%
Minimum total expected workload equals 12 hours per week comprising:
- Contact hours for on-campus students:
- Three hours lectures
- 1.5 hours laboratories
- Additional requirements (all students): A minimum of 7.5 hours independent study per week for completing lab and project work, private study and revision.
See also Unit timetable information
VCE Specialist Mathematics or Mathematical Methods units 3 and 4 with a study score of at least 25 or Further maths with a study score of at least 35.