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.
Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of scheduled online and face to face learning activities and independent study. Independent study may include associated reading and preparation for scheduled activities. Scheduled activities may include a combination of teacher directed learning and online engagement.
Perform key skills in the calculus of functions of several variables including the calculation of partial derivatives, find tangent planes and identify stationary points.
Calculate approximations of functions with tangent lines, evaluate power series and construct Taylor series;
Explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;
Demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;
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