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Home > Mathematics and Science Textbooks > Mathematics > Maths Quest 12: Further Mathematics VCE Units 3 and 4 & eBookPLUS + StudyOn
Maths Quest 12: Further Mathematics  VCE Units 3 and 4 & eBookPLUS + StudyOn

Maths Quest 12: Further Mathematics VCE Units 3 and 4 & eBookPLUS + StudyOn


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About the Book

Maths Quest 12 Further Mathematics, Fifth edition VCE Units 3 and 4 with eBookPLUS and studyON, 5th Edition provides comprehensive coverage of the new VCE Study Design for 2016-2019. It includes Jacaranda’s unique exam preparation tool, studyON, which has been fully integrated with the text to maximise every student’s opportunity for exam success. Features and benefits • Many HTML5 interactivities are available. These are designed to engage, excite and enhance understanding by bringing difficult concepts to life. • The theory is written by highly experienced and successful teachers with a proven and fundamental understanding of how students learn mathematics and succeed in exams. • Every exercise contains three levels of carefully graded questions which allow students to practise, consolidate and master their knowledge independently. • Thousands of new questions have been written exclusively for this series, including many higher level questions that stretch students’ understanding of mathematics for improved learning outcomes. • CAS support is provided within the student text through activities and questions. Additionally, students can obtain detailed step-by-step instructions by accessing the TI-Nspire CAS or the Casio ClassPad II Calculator Manuals in the Prelim section of their eBookPLUS. • studyON VCE Further Mathematics Units 3 and 4 is fully integrated with the student text. studyON is Jacaranda’s unique study, revision and exam preparation tool, containing all past VCAA exam questions from 2006. Students can rely on Jacaranda’s dedicated customer service and support. This resource is a hard-copy student text that includes the eBookPLUS and studyON VCE Further Mathematics Units 3 and 4. studyON for Units 3 and 4 is a comprehensive study, revision and exam preparation tool that delivers proven learning outcomes through a range of interactivities, videos and past VCAA exam questions. Features and benefits • Sit exams: VCAA exam questions from 2006 onwards, along with marking guides and examiner comments. Students receive instant feedback and can track their results at a concept, topic or whole-course level. • Concepts: Concept summary screens provide concise, in-depth explanations supported by relevant examples. • Read more: Hyperlinks direct students to more information in the Jacaranda eBookPLUS. • See more: Videos and animations bring concepts to life. • Do more: Hands-on interactivities enhance understanding of on-screen concepts and provide instant feedback.

Table of Contents:
Introduction viii About eBookPLUS and studyON xi Acknowledgements xii topic 1 Univariate data 2 1.1 Kick off with CAS 3 1.2 Types of data 4 1.3 Stem plots 7 1.4 Dot plots, frequency tables and histograms, and bar charts 14 1.5 Describing the shape of stem plots and histograms 25 1.6 The median, the interquartile range, the range and the mode 31 1.7 Boxplots 38 1.8 The mean of a sample 46 1.9 Standard deviation of a sample 54 1.10 Populations and simple random samples 59 1.11 The 68–95–99.7% rule and z-scores 63 1.12 Review 73 Answers 74 topic 2 Comparing data sets 82 2.1 Kick off with CAS 83 2.2 Back-to-back stem plots 84 2.3 Parallel boxplots and dot plots 89 2.4 Two-way (contingency) frequency tables and segmented bar charts 93 2.5 Review 101 Answers 102 topic 3 Introduction to regression 108 3.1 Kick off with CAS 109 3.2 Response (dependent) and explanatory (independent) variables 110 3.3 Scatterplots 112 3.4 Pearson’s product–moment correlation coefficient 120 3.5 Calculating r and the coefficient of determination 123 3.6 Fitting a straight line — least-squares regression 131 3.7 Interpretation, interpolation and extrapolation 137 3.8 Residual analysis 143 3.9 Transforming to linearity 149 3.10 Review 157 Answers 158 topic 4 Time series 168 4.1 Kick off with CAS 169 4.2 Time series and trend lines 170 4.3 Trend lines and forecasting 174 4.4 Smoothing time series 182 4.5 Smoothing with an even number of points 188 4.6 Median smoothing from a graph 192 4.7 Seasonal adjustment 196 4.8 Review 207 Answers 208 topic 5 Recurrence relations 220 5.1 Kick off with CAS 221 5.2 Generating the terms of a first-order recurrence relation 222 5.3 First-order linear recurrence relations 226 5.4 Graphs of first-order recurrence relations 231 5.5 Review 240 Answers 241 topic 6 Interest and depreciation 244 6.1 Kick off with CAS 245 6.2 Simple interest 246 6.3 Compound interest tables 252 6.4 Compound interest formula 256 6.5 Finding rate or time for compound interest 262 6.6 Flat rate depreciation 266 6.7 Reducing balance depreciation 271 6.8 Unit cost depreciation 278 6.9 Review 285 Answers 286 topic 7 Loans, investments and asset values 292 7.1 Kick off with CAS 293 7.2 Reducing balance loans I 294 7.3 Reducing balance loans II 302 7.4 Reducing balance loans III 310 7.5 Reducing balance and flat rate loan comparisons 323 7.6 Effective annual interest rate 328 7.7 Perpetuities 331 7.8 Annuity investments 338 7.9 Review 352 Answers 353 topic 8 Matrices 358 8.1 Kick off with CAS 359 8.2 Matrix representation 360 8.3 Addition, subtraction and scalar operations with matrices 367 8.4 Multiplying matrices 377 8.5 Multiplicative inverse and solving matrix equations 390 8.6 Dominance and communication matrices 396 8.7 Application of matrices to simultaneous equations 405 8.8 Transition matrices 412 8.9 Review 429 Answers 430 topic 9 Undirected graphs and networks 438 9.1 Kick off with CAS 439 9.2 Basic concepts of a network 440 9.3 Planar graphs and Euler’s formula 448 9.4 Walks, trails, paths, cycles and circuits 454 9.5 Trees and their applications 462 9.6 Review 475 Answers 476 topic 10 Directed graphs and networks 480 10.1 Kick off with CAS 481 10.2 Critical path analysis 482 10.3 Critical path analysis with backward scanning and crashing 492 10.4 Network flow 507 10.5 Assignment problems and bipartite graphs 516 10.6 Review 526 Answers 527 topic 11 Geometry: similarity and mensuration 534 11.1 Kick off with CAS 535 11.2 Properties of angles, triangles and polygons 536 11.3 Area and perimeter I 542 11.4 Area and perimeter II 548 11.5 Great circles 557 11.6 Total surface area 560 11.7 Volume of prisms, pyramids and spheres 567 11.8 Similar figures 576 11.9 Similar triangles 581 11.10 Triangulation — similarity 588 11.11 Area and volume scale factors 593 11.12 Time zones 602 11.13 Review 605 Answers 606 topic 12 Trigonometry 610 12.1 Kick off with CAS 611 12.2 Trigonometry 612 12.3 Pythagorean triads 617 12.4 Three-dimensional Pythagoras’ theorem 620 12.5 Trigonometric ratios 624 12.6 The sine rule 632 12.7 Ambiguous case of the sine rule 638 12.8 The cosine rule 642 12.9 Special triangles 646 12.10 Area of triangles 649 12.11 Review 655 Answers 656 topic 13 Applications of geometry and trigonometry 660 13.1 Kick off with CAS 661 13.2 Angles 662 13.3 Angles of elevation and depression 666 13.4 Bearings 671 13.5 Navigation and specification of locations 677 13.6 Triangulation — cosine and sine rules 686 13.7 Review 694 Answers 695 topic 14 Construction and interpretation of graphs 698 14.1 Kick off with CAS 699 14.2 Constructing and interpreting straight-line graphs 700 14.3 Line segments and step functions 710 14.4 Simultaneous equations and break-even point 717 14.5 Interpreting non-linear graphs 723 14.6 Constructing non-linear relations and graphs 729 14.7 Review 735 Answers 736 topic 15 Linear inequalities and linear programming 744 15.1 Kick off with CAS 745 15.2 Linear inequalities 746 15.3 Simultaneous linear inequalities 749 15.4 Linear programming 754 15.5 Applications 766 15.6 Review 780 Answers 781 Index 788


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Product Details
  • ISBN-13: 9780730321736
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Edition: Revised edition
  • Language: English
  • Spine Width: 26 mm
  • Weight: 1600 gr
  • ISBN-10: 0730321738
  • Publisher Date: 16 Oct 2015
  • Binding: SA
  • Height: 280 mm
  • No of Pages: 808
  • Sub Title: Further Mathematics VCE Units 3 and 4 & eBookPLUS + StudyOn
  • Width: 215 mm


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Maths Quest 12: Further Mathematics  VCE Units 3 and 4 & eBookPLUS + StudyOn
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