Task 6 (Week 4) Analysing time series data – examine and use concepts and techniques of time series analysis including smoothing data, calculating seasonal 3–4 indices, deseasonalising a time series, modelling long-term trends and making predictions Loans, investments and annuities (4.2.1–4.2.7) Compound interest loans and investments – model, investigate and solve 5 practical problems to compare compound interest loans, investments and depreciating assets Task 7 (Week 7) Reducing balance loans – model, investigate and solve practical problems 6–7 involving loans with periodic repayments using a recurrence relation and with the aid of a financial calculator Task 8 (Week 9) Annuities and perpetuities – investigate, model and solve practical problems associated with compound interest investments and loans with 8–9 periodic payments made from the investment using a recurrence relation and with the aid of a financial calculator Networks and decision mathematics (4.3.1–4.3.1) Trees and minimum connector problems – identify minimal spanning 10 trees and solve minimal connector problems using practical examples that can be represented by trees Flow networks – solve small-scale network flow problems in practical 11 situations including use of the ‘maximum flow-minimum cut’ theorem Task 9 (Week 13) Assignment problems – use graphs, tabular and/or matrix form to 12–13 determine optimum assignment(s) by inspection or by using the Hungarian algorithm Task 10 (Week 14) Project planning and scheduling using critical path analysis (CPA) – construct a network to represent a project and use a network to 14 determine minimum time for completion, represent interdependencies and identify EST/LST and float times Task 11 15 Semester 2 examination (Examination week)
3–4 Analysing time series data – examine and use concepts and techniques of time series analysis including smoothing data, calculating seasonal indices, deseasonalising a time series, modelling long-term trends and making predictions Task 6 (Week 4) 5 Loans, investments and annuities (4.2.1–4.2.7) Compound interest loans and investments – model, investigate and solve practical problems to compare compound interest loans, investments and depreciating assets 6–7 Reducing balance loans – model, investigate and solve practical problems involving loans with periodic repayments using a recurrence relation and with the aid of a financial calculator Task 7 (Week 7) 8–9 Annuities and perpetuities – investigate, model and solve practical problems associated with compound interest investments and loans with periodic payments made from the investment using a recurrence relation and with the aid of a financial calculator Task 8 (Week 9) 10 Networks and decision mathematics (4.3.1–4.3.1) Trees and minimum connector problems – identify minimal spanning trees and solve minimal connector problems using practical examples that can be represented by trees 11 Flow networks – solve small-scale network flow problems in practical situations including use of the ‘maximum flow-minimum cut’ theorem 12–13 Assignment problems – use graphs, tabular and/or matrix form to determine optimum assignment(s) by inspection or by using the Hungarian algorithm Task 9 (Week 13) 14 Project planning and scheduling using critical path analysis (CPA) – construct a network to represent a project and use a network to determine minimum time for completion, represent interdependencies and identify EST/LST and float times Task 10 (Week 14) 15 Semester 2 examination Task 11 (Examination week)