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Home > Children's Books > Education & Reference > Mathematics, science and technology > Mathematics and numeracy > Maths Quest 11: Mathematical Methods Solutions
Maths Quest 11: Mathematical Methods Solutions

Maths Quest 11: Mathematical Methods Solutions


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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. This text contains the fully worked solutions to every question and investigation in the student textbook, presented in a coil-bound format or CD-ROM.

Table of Contents:
Introduction Achnowledgements Chapter 1: Linear functions 1.1 Solving linear equations and inequalities 1.2 Rearrangement and substitution 1.3 Gradient of a straight line 1.4 Equations of the form y = mx = c 1.5 Sketching linear graphs using intercepts 1.6 Simultaneous equations 1.7 Perpendicular lines 1.8 Finding the equation of a straight line 1.9 Distance between two points 1.10 Midpoint of a segment 1.11 Linear modelling Summary Chapter review Chapter 2: Quadratic functions 2.1 Expanding quadratic expressions 2.2 Factorising quadratic expressions 2.3 Factorising by completing the square 2.4 Solving quadratic equations - Null Factor Law 2.5 Solving quadratic equations - completing the square 2.6 The quadratic formula 2.7 The discriminant 2.8 Quadratic graphs - turning point form 2.9 Quadratic graphs - intercepts method 2.10 Using graphs to solve quadratic equations 2.11 Simultaneous quadratic and linear equations Summary Chapter review Chapter 3: Cubic and quartic functions 3.1 Polynomials 3.2 Expanding 3.3 Long division of polynomials 3.4 Polynomial values 3.5 The remainder and factor theorems 3.6 Factorising cubic polynomials 3.7 Sum and difference of two cubes 3.8 Cubic equations 3.9 Sketching graphs 3.10 Cubic graphs - intercepts method 3.11 Quartic graphs - intercepts method 3.12 Cubic graphs - using translation 3.13 Domain, range, maximums and minimums 3.14 Modelling 3.15 Modelling using technology 3.16 Finite differences Summary Chapter review Chapter 4: Relations and functions 4.1 Set notation 4.2 Relations and graphs 4.3 Domain and range 4.4 Types of relations (including functions) 4.5 Function notation 4.6 Special types of function 4.7 Inverse relations and functions 4.8 Circles 4.9 Functions and modelling Summary Chapter review Chapter 5: Exponential and logarithmic functions 5.1 Introduction 5.2 Index laws 5.3 Negative and rational powers 5.4 Indicial equations 5.5 Graphs of exponential functions 5.6 Logarithms 5.7 Solving logarithmic equations 5.8 Logarithmic graphs 5.9 Applications of exponential and logarithmic functions Summary Chapter review Chapter 6: Circular functions 6.1 Trigonometric ratio revision 6.2 The unit circle 6.3 Radians 6.4 Symmetry 6.5 Identities 6.6 Sine and cosine graphs 6.7 Tangent graphs 6.8 Solving trigonometric equations 6.9 Applications Summary Chapter review Chapter 7: Rates of change 7.1 Identifying rates 7.2 Constant rates 7.3 Variable rates 7.4 Average rates of change 7.5 Instantaneous rates 7.6 Motion graphs 7.7 Relating the gradient function to the original function 7.8 Relating velocity - time graphs to position time graphs 7.9 Rates of change of polynomials Summary Chapter review Chapter 8: Differentiation 8.1 Introduction to limits 8.2 Limits of discontinuous, rational and hybrid functions 8.3 Differentiation using first principles 8.4 Finding derivatives by rule 8.5 Antidifferentiation by rule 8.6 Deriving the original function from the gradient function Summary Chapter review Chapter 9: Applications of differentiation 9.1 Rates of change 9.2 Sketching graphs containing stationary points 9.3 Solving maximum and minimum problems 9.4 Applications of antidifferentiation Summary Chapter review Chapter 10: Introductory probability 10.1 Introduction to probability 10.2 Random outcome experiments 10.3 Experimental probability and expected number of outcomes 10.4 Calculating probabilities 10.5 Tree diagrams and lattice diagrams 10.6 The Additional Law of Probabilities 10.7 Mutually exclusive events 10.8 Karnaugh maps and probability tables 10.9 Conditional probability 10.10 Independent events 10.11 Simulation Summary Chapter review Chapter 11: Combinatorics 11.1 Introduction 11.2 The addition principle 11.3 Multiplication principle 11.4 Permutations 11.5 Factorials 11.6 Permutations using nPr 11.7 Permutations involving restrictions 11.8 Arrangements in circle 11.9 Combinations using nCr 11.10Applications to probability Summary Chapter review Solutions to investigations


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Product Details
  • ISBN-13: 9780731402748
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Sub Title: Mathematical Methods Solutions
  • ISBN-10: 073140274X
  • Publisher Date: 13 Jul 2006
  • Binding: Paperback
  • Weight: 618 gr


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