Mathematics Applications flashcards

What this deck covers

• Unit 3 (69 cards, 18 dot points)

  • Arithmetic sequences in WACE Mathematics Applications Unit 3 (5)
  • Association, causation and the statistical investigation process in WACE Mathematics Applications Unit 3 (5)
  • Compound interest with recursion in WACE Mathematics Applications Unit 3 (3)
  • Consumer and financial mathematics (WACE Year 12 Mathematics Applications) (3)
  • Correlation coefficient and coefficient of determination in WACE Mathematics Applications Unit 3 (4)
  • Fitting and interpreting the least-squares line in WACE Mathematics Applications Unit 3 (4)
  • Geometric sequences in WACE Mathematics Applications Unit 3 (3)
  • Graph terminology and adjacency matrices in WACE Mathematics Applications Unit 3 (5)
  • Linear programming (WACE Year 12 Mathematics Applications) (3)
  • Matrices and applications (WACE Year 12 Mathematics Applications) (3)
  • Networks and decision mathematics (WACE Year 12 Mathematics Applications) (4)
  • Planar graphs and Euler's formula in WACE Mathematics Applications Unit 3 (4)
  • Recurrence relations and sequences in WACE Mathematics Applications Unit 3 (3)
  • Reducing-balance depreciation in WACE Mathematics Applications Unit 3 (2)
  • Residuals and residual plots in WACE Mathematics Applications Unit 3 (3)
  • Scatterplots and bivariate association in WACE Mathematics Applications Unit 3 (5)
  • Transforming data to linearity in WACE Mathematics Applications Unit 3 (5)
  • Walks, paths, Eulerian and Hamiltonian routes in WACE Mathematics Applications Unit 3 (5)
• Unit 4 (59 cards, 16 dot points)

  • Annuities and superannuation in WACE Mathematics Applications Unit 4 (4)
  • Assignment problems and the Hungarian algorithm in WACE Mathematics Applications Unit 4 (4)
  • Bivariate data and regression (WACE Year 12 Mathematics Applications) (2)
  • Critical path analysis in WACE Mathematics Applications Unit 4 (5)
  • Exponential growth and decay (WACE Year 12 Mathematics Applications) (3)
  • Flow networks and maximum flow in WACE Mathematics Applications Unit 4 (4)
  • Minimum spanning trees and connector problems in WACE Mathematics Applications Unit 4 (4)
  • Moving average and median smoothing in WACE Mathematics Applications Unit 4 (3)
  • Perpetuities in WACE Mathematics Applications Unit 4 (4)
  • Probability and statistics (WACE Year 12 Mathematics Applications) (3)
  • Reducing-balance loans and amortisation in WACE Mathematics Applications Unit 4 (3)
  • Seasonal indices and deseasonalising in WACE Mathematics Applications Unit 4 (4)
  • Shortest path problems in WACE Mathematics Applications Unit 4 (4)
  • Time series and forecasting (WACE Year 12 Mathematics Applications) (4)
  • Time series plots and components in WACE Mathematics Applications Unit 4 (4)
  • Trend lines and forecasting in WACE Mathematics Applications Unit 4 (4)

Sample cards from this deck

1. Definition

   Arithmetic sequences in WACE Mathematics Applications Unit 3

   Define Flat-rate (straight-line) depreciation

   An asset loses the same dollar amount each year, so its value falls arithmetically with a negative $d$.

2. Definition

   Annuities and superannuation in WACE Mathematics Applications Unit 4

   Define Annuity-investment

   Annuity-investment (superannuation, savings plan): $d$ positive (a deposit). The balance grows.

3. Definition

   Association, causation and the statistical investigation process in WACE Mathematics Applications Unit 3

   Define A causes B

   Changing $x$ really does change $y$ (for example, hours of fertiliser raising crop yield).

4. Definition

   Assignment problems and the Hungarian algorithm in WACE Mathematics Applications Unit 4

   Define Bipartite graph

   A bipartite graph has two disjoint sets of vertices (here, workers and jobs) with edges only between the sets, never within them. An assignment is a perfect matching: every worker paired to one job and every job to one worker.

5. Definition

   Correlation coefficient and coefficient of determination in WACE Mathematics Applications Unit 3

   Define Outliers distort them

   One extreme point can pull $r$ up or down sharply.

6. Definition

   Critical path analysis in WACE Mathematics Applications Unit 4

   Define earliest start time (EST)

   The earliest start time (EST) is the soonest an activity can begin. The latest start time (LST) is the latest it can begin without delaying the project.

7. Definition

   Transforming data to linearity in WACE Mathematics Applications Unit 3

   Define Reciprocal

   Reciprocal ($1/x$ or $1/y$): straightens a curve that decreases steeply then levels off, or rises towards a horizontal asymptote.

8. Definition

   Flow networks and maximum flow in WACE Mathematics Applications Unit 4

   Define Flow rules

   The flow along any edge cannot exceed its capacity. At every vertex except the source and sink, the total flow in equals the total flow out (conservation of flow).

9. Definition

   Graph terminology and adjacency matrices in WACE Mathematics Applications Unit 3

   Define Core graph terms

   A vertex (node) is a point. An edge joins two vertices.

10. Definition

    Minimum spanning trees and connector problems in WACE Mathematics Applications Unit 4

    Define Spanning tree

    A spanning tree of a connected graph with $n$ vertices is a subgraph that connects all $n$ vertices using exactly $n - 1$ edges and contains no cycles. The minimum spanning tree is the spanning tree of least total weight.