Maths Quest 12 Further Mathematics 5e VCE Units 3&4 eBookPLUS (Online Purchase) + StudyOn VCE Further Mathematics Units 3&4 2e (Online Purchase)

ISBN: 978-0-730-32739-4

Jacaranda

352 pages

\$43.95

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1 Univariate data
1.1 Kick off with CAS
1.2 Types of data
1.3 Stem plots
1.4 Dot plots, frequency tables and histograms, and bar charts
1.5 Describing the shape of stem plots and histograms
1.6 The median, the interquartile range, the range and the mode
1.7 Box plots
1.8 The mean of a sample
1.9 Standard deviation of a sample
1.10 Populations and simple random samples
1.11 The 68-95-99.7% rule and z-scores
1.12 Review

2 Bivariate data
2.1 Kick off with CAS
2.2 Back to back stem and leaf plots
2.3 Parallel box plots and dot plots
2.4 Two-way (contingency) tables and segmented bar charts
2.5 Review

3 Introduction to regression
3.1 Kick off with CAS
3.2 Response (dependent) and explanatory (independent) variables
3.3 Scatterplots
3.4 Pearson’s product-moment correlation coefficient
3.5 Calculating r and the coefficient of determination
3.6 Fitting a straight line – least-squares regression
3.7 Interpretation, interpolation and extrapolation
3.8 Residual analysis
3.9 Transferring to linearity
3.10 Review

4 Time series
4.1 Kick off with CAS
4.2 Time series and trend lines
4.3 Fitting trend lines and forecasting
4.4 Smoothing time series
4.5 Smoothing with an even number of points
4.6 Median smoothing from a graph
4.8 Review

5 Recurrence relations
5.1 Kick off with CAS
5.2 Generating the terms of a first-order recurrence relation
5.3 First-order recurrence relations
5.4 Graphs of first-order recurrence relations
5.5 Review

6 Interest and depreciation
6.1 Kick off with CAS
6.2 Simple interest
6.3 Compound interest tables
6.4 Compound interest formula
6.5 Finding rate or time for compound interest
6.6 Depreciation
6.7 Reducing balance depreciation
6.8 Unit cost depreciation
6.9 Review

7 Loans, investments and asset value
7.1 Kick off with CAS
7.2 Reducing balance loans I
7.3 Reducing balance loans II
7.4 Reducing balance loans III
7.5 Reducing balance and flat rate loan comparisons
7.6 Effective rate of interest
7.7 Perpetuities
7.8 Annuity investments
7.9 Review

OPTIONS
8 Matrices
8.1 Kick off with CAS
8.2 Matrix representation
8.3 Addition, subtraction and scalar operations with matrices
8.4 Multiplying matrices
8.5 Multiplicative inverse and solving matrix equations
8.6 Dominance and communication matrices
8.7 Application of matrices to simultaneous equations
8.8 Transition matrices
8.9 Review

9 Undirected graphs and networks
9.1 Kick off with CAS
9.2 Basic concepts of a network
9.3 Planar graphs and Euler’s rule
9.4 Paths and circuits
9.5 Trees and their applications
9.6 Review

10 Directed graphs and networks
10.1 Kick off with CAS
10.2 Critical path analysis
10.3 Critical path analysis with backwards scanning and crashing
10.4 Network flow
10.5 Assignment problems and bipartite graphs
10.6 Review

11 Measurement
11.1 Kick off with CAS
11.2 Properties of angles, triangles and polygons
11.3 Area and perimeter I
11.4 Area and perimeter II
11.5 Great circles
11.6 Total surface area
11.7 Volume
11.8 Similar figures
11.9 Similar triangles
11.10 Area and volume scale factor
11.11 Time zones
11.12 Review

12 Trigonometry
12.1 Kick off with CAS
12.2 Pythagoras’ theorem
12.4 Three dimensional Pythagoras’ theorem
12.5 Trigonometry ratios
12.6 The sine rule
12.7 Ambiguous case of the sine rule
12.8 The cosine rule
12.9 Special triangle
12.10 Area of triangles
12.11 Review

13 Applications of geometry and trigonometry
13.1 Kick off with CAS
13.2 Angles
13.3 Angles of elevation and depression
13.4 Bearings
13.5 Navigation and specification of locations
13.6 Triangulation – cosine and sine rules
13.7 Review

14 Construction of and interpretation of graphs
14.1 Kick off with CAS
14.2 Constructing and interpreting straight-line graphs
14.3 Line segments and step functions
14.4 Simultaneous equations and break-even point
14.5 Interpreting non-linear graphs
14.6 Constructing non-linear relations and graphs
14.7 Review

15 Linear inequalities and linear programming
15.1 Kick off with CAS
15.2 Linear inequations
15.3 Simultaneous linear inequations
15.4 Linear programming
15.5 Applications
15.6 Review