Jacaranda Maths Quest 12 Further Mathematics VCE U3&4 6e eBookPLUS & Print + StudyON VCE Further Mathematics Units 3&4 2E (Book Code)
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Jacaranda Maths Quest 12 Further Mathematics VCE U3&4 6e eBookPLUS & Print + StudyON VCE Further Mathematics Units 3&4 2E (Book Code): (Maths Quest for Victoria Senior Series)

Jacaranda Maths Quest 12 Further Mathematics VCE U3&4 6e eBookPLUS & Print + StudyON VCE Further Mathematics Units 3&4 2E (Book Code): (Maths Quest for Victoria Senior Series)


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About the Book

Table of Contents:
About this resource ix About eBookPLUS and studyON xii Acknowledgements xiii 1 Investigating data distributions 1 1.1 Overview 1 1.2 Types of data 3 1.3 Stem plots 6 1.4 Dot plots, frequency tables and histograms, and bar charts 14 1.5 Describing the shape of stem plots and histograms 29 1.6 The median, the interquartile range, the range and the mode 35 1.7 Boxplots 44 1.8 The mean of a sample 53 1.9 Standard deviation of a sample 57 1.10 Populations and simple random samples 64 1.11 The 68–95–99.7% rule and z-scores 68 1.12 Review: exam practice 78 Answers 89 2 Investigating associations between two variables 99 2.1 Overview 99 2.2 Response and explanatory variables 101 2.3 Two-way (contingency) frequency tables and segmented bar charts 103 2.4 Back-to-back stem plots 110 2.5 Parallel boxplots and dot plots 115 2.6 Scatterplots 120 2.7 Pearson’s product–moment correlation coefficient 128 2.8 Calculating r and the coefficient of determination, r2 133 2.9 Correlation and causation 139 2.10 Review: exam practice 142 Answers 148 3 Investigating and modelling linear associations 157 3.1 Overview 157 3.2 Fitting a straight line — least-squares regression 159 3.3 Interpretation, interpolation and extrapolation 166 3.4 Residual analysis 172 3.5 Transforming to linearity 179 3.6 Review: exam practice 189 4 Investigating and modelling time series data 200 4.1 Overview 200 4.2 Time series and trend lines 202 4.3 Trend lines and forecasting 208 4.4 Smoothing time series 216 4.5 Smoothing with an even number of points 222 4.6 Median smoothing from a graph 227 4.7 Seasonal adjustment 231 4.8 Review: exam practice 243 Answers 250 Revision Topics 1 to 4 266 5 Depreciation of assets 267 5.1 Overview 267 5.2 Generating the terms of a first-order recurrence relation 269 5.3 Modelling flat rate depreciation with a recurrence relation 272 5.4 Modelling reducing balance depreciation with a recurrence relation 276 5.5 Modelling unit cost depreciation with a recurrence relation 283 5.6 Review: exam practice 290 Answers 293 6 Simple and compound interest — investments and loans 298 6.1 Overview 298 6.2 Simple interest 300 6.3 Compound interest as a geometric recurrence relation 305 6.4 Compound interest rule 309 6.5 Finding rate or time for compound interest 315 6.6 Effective annual interest rate 319 6.7 Review: exam practice 323 Answers 325 7 Reducing balance loans, annuities and perpetuities 327 7.1 Overview 327 7.2 Modelling reducing balance loans with recurrence relations 329 7.3 Solving problems involving reducing balance loans using a Finance Solver 335 7.4 The effect of rate and repayment changes on reducing balance loans 347 7.5 Annuities and perpetuities 357 7.6 Annuity investments 367 7.7 Review: exam practice 375 Answers 378 Revision Topics 5 to 7 382 8 Matrices 383 8.1 Overview 383 8.2 Matrix representation 385 8.3 Addition, subtraction and scalar operations with matrices 393 8.4 Multiplying matrices 403 8.5 Multiplicative inverse and solving matrix equations 416 8.6 Dominance and communication matrices 422 8.7 Application of matrices to simultaneous equations 431 8.8 Transition matrices 439 8.9 Review: exam practice 456 Answers 463 Revision Topic 8 470 9 Undirected graphs and networks 471 9.1 Overview 471 9.2 Basic concepts of a network 473 9.3 Planar graphs and Euler’s formula 481 9.4 Walks, trails, paths, cycles and circuits 488 9.5 Trees and their applications 497 9.6 Review: exam practice 511 Answers 518 10 Directed graphs and networks 523 10.1 Overview 523 10.2 Critical path analysis 524 10.3 Critical path analysis with backward scanning and crashing 535 10.4 Network flow 551 10.5 Assignment problems and bipartite graphs 561 10.6 Review: exam practice 572 Answers 581 Revision Topics 9 to 10 588 11 Geometry and measurement 589 11.1 Overview 589 11.2 Review of properties of angles, triangles and polygons 590 11.3 Review of area and perimeter of composite shapes 597 11.4 Total surface area 607 11.5 Volume of prisms, pyramids and spheres 614 11.6 Similar figures 623 11.7 Similar triangles 629 11.8 Triangulation — similarity 636 11.9 Area and volume scale factors 640 11.10 Review: exam practice 650 Answers 655 12 Geometry and trigonometry 658 12.1 Overview 658 12.2 Two- and three-dimensional Pythagoras’ theorem 659 12.3 Trigonometric ratios 667 12.4 The sine rule 675 12.5 Ambiguous case of the sine rule 683 12.6 The cosine rule 687 12.7 Area of triangles 691 12.8 Angles of elevation and depression 697 12.9 Bearings and specification of location 703 12.10 Triangulation — cosine and sine rules 712 12.11 Review: exam practice 721 Answers 730 13 Spherical geometry 733 13.1 Overview 733 13.2 Circle mensuration 735 13.3 Right-angled triangles within a sphere 740 13.4 The earth as a sphere 744 13.5 Time zones 750 13.6 Review: exam practice 753 Answers 756 Revision Topics 11 to 13 758 14 Construction and interpretation of graphs 759 14.1 Overview 759 14.2 Constructing and interpreting straight-line graphs 760 14.3 Line segments and step functions 771 14.4 Simultaneous equations and break-even point 778 14.5 Interpreting non-linear graphs 785 14.6 Constructing non-linear relations and graphs 792 14.7 Review: exam practice 798 Answers 804 15 Linear programming 813 15.1 Overview 813 15.2 Linear inequalities 815 15.3 Simultaneous linear inequalities 819 15.4 Linear programming 825 15.5 Applications 838 15.6 Review: exam practice 851 Answers 856 Revision Topics 14 to 15 865 Glossary 866 Index 874


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Product Details
  • ISBN-13: 9780730365594
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Language: English
  • Returnable: N
  • ISBN-10: 073036559X
  • Publisher Date: 19 Nov 2018
  • Binding: Other book format
  • Returnable: N
  • Series Title: Maths Quest for Victoria Senior Series


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Jacaranda Maths Quest 12 Further Mathematics VCE U3&4 6e eBookPLUS & Print + StudyON VCE Further Mathematics Units 3&4 2E (Book Code): (Maths Quest for Victoria Senior Series)
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