MAT1841 · Continuous mathematics for computer science

Overview

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.

Offerings

The Handbook publishes no offerings for this unit.

Assessment

The Handbook does not list a final examination among the assessment items. That is not a guarantee there is none.

Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.

Requisites

Learning outcomes

1. Demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;
2. Explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;
3. Calculate approximations of functions with tangent lines, evaluate power series and construct Taylor series;
4. Perform key skills in the calculus of functions of several variables including the calculation of partial derivatives, find tangent planes and identify stationary points.

Workload

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.

Student experience, not official rules. Nothing here changes what the Handbook says.