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Home > Children's Books > Education & Reference > Mathematics, science and technology > Mathematics and numeracy > Maths Quest 12: Further Mathematics
Maths Quest 12: Further Mathematics

Maths Quest 12: Further Mathematics


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About the Book

The successful VCE Maths Quest series has been completely revised in these second editions to comprehensively cover the VCE 2006-2009 Mathematics Study Design. Additional exam practice has also been included in the form of further analysis tasks for each chapter. VCE Maths Quest offers teachers and students a complete resource package, including the Student Text, Teachers editions and Fully Worked Solutions Manual for each of the student texts. The Teacher Edition contains everything in the student edition package plus more, such as: *Answers printed in red next to most questions in each exercise and each investigation *Annotated study design information and a readily accessible work program. The teacher edition CD-ROM now contains four tests per chapter with fully worked solutions, Worksheets and their solutions, a work program, and other curriculum advice - all in a fully editable Word format.

Table of Contents:
Chapter 1: Univariate data Types of data Stem plots Frequency histograms, dot plots and bar charts Describing the shape of stem plots and histograms The median, the interquartile range, the range and the mode Boxplots The mean Standard deviation The 68-95-99.7% rule and z-scores Populations and simple random samples Chapter 2: Bivariate data Dependent and independent variables Back-to-back stem plots Parallel boxplots Two-way frequency tables and segmented bar charts Scatterplots Pearson's product-moment coefficient Calculating r and the coefficient of determination Chapter 3: Introduction to regression Fitting a straight line by eye Fitting a straight line - the 3-median method Fitting a straight line - least-squares regression Interpretation, interpolation and extrapolation Residual analysis Transforming to linearity Chapter 4: Time series Time series and trend lines Fitting trend lines and forecasting Smoothing time series Smoothing with an even number of points Median smoothing Seasonal adjustment Chapter 5: Arithmetic and geometric sequences Recognition of arithmetic sequences Finding the terms of an arithmetic sequence The sum of a given number of terms of an arithmetic sequence Recognition of geometric sequences Finding the terms of a geometric sequence The sum of a given number of terms of a geometric sequence Applications of geometric sequences Finding the sum of an infinite geometric sequence Contrasting arithmetic and geometric sequences through graphs Chapter 6: Difference equations Generating the terms of a sequence defined by a first order difference equation The relationship between arithmetic sequences and first order difference equations The relationship between geometric sequences and first order difference equations Setting up first order difference equations to represent practical situations Finding solutions of simple first order difference equations of the form tn + 1 = tn + b, n = 1,2, 3, ... and tn + 1 = atn , n = 1, 2, 3, ... Finding solutions of simple first order difference equations of the form tn + 1 = atn + b, n = 1,2, 3, ... Graphical representation of a sequence defined by a first order difference equation Interpretation of the graph of first order difference equations Fibonacci sequences as second order difference equations Chapter 7: Geometry: similarity and mensuration Properties of angles, triangles and polygons Area and perimeter Total surface area Volume of prisms, pyramids and spheres Similar figures Similar triangles Area and volume scales Chapter 8: Trigonometry Pythagoras' theorem Pythagorean triads Three-dimensional Pythagoras' theorem Trigonometric ratios The sine rule Ambiguous case of the sine rule The cosine rule Special triangles Area of triangles Chapter 9: Applications of geometry and trigonometry Angles Angles of elevation and depression Bearings Navigation and specification of locations Triangulation - cosine and sine rules Triangulation - similarity Contour maps Chapter 10: Construction and interpretation of graphs Constructing and interpreting straight-line graphs Line segments and step functions Simultaneous equations and break-even point Interpreting non-linear graphs Constructing non-linear relations and graphs Chapter 11: Linear inequations and linear programming Linear inequations Simultaneous linear inequations The linear programming problem Applications Chapter 12: Loans and investments Simple interest Bonds, debentures and term deposits Compound interest Reducing balance loans - the annuities formula Reducing balance loans - further calculations Hire purchases Reducing balance and flat rate loan comparisons Effective rate of interest Perpetuities Annuity investments Chapter 13: Financial transactions and asset value Bank accounts Financial computations Flat rate depreciation Reducing balance depreciation Unit cost depreciation Inflation Chapter 14: Undirected graphs and networks Basic concepts of a network Planar graphs and Euler's formula Paths and circuits Trees and their applications Chapter 15: Directed graphs and networks Critical path analysis Critical path analysis with backward scanning Network flow Assignment problems and bipartite graphs Reachability and dominance in directed networks Chapter 16: Matrices Matrix representation Addition, subtraction and scalar operations with matrices Multiplying matrices Multiplicative inverse and solving matrix equations Application of matrices to simultaneous equations Transition matrices Answers


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Product Details
  • ISBN-13: 9780731403141
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Wrightbooks
  • Edition: Teacher’s edition
  • Sub Title: Further Mathematics
  • ISBN-10: 0731403142
  • Publisher Date: 21 Apr 2006
  • Binding: Paperback
  • Height: 255 mm
  • Weight: 2300 gr


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Maths Quest 12: Further Mathematics
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