# Maths Quest: Teacher Edition : 12 Mathematical Methods

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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.

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## Product details

- CD-I | 792 pages
- 14 Jul 2006
- John Wiley & Sons Australia Ltd
- Wrightbooks
- Milton, QLD, Australia
- Revised
- 2nd Revised edition
- 073140257X
- 9780731402571

## Table of contents

Introduction Acknowledgements Chapter 1: Graphs and polynomials 1.1 The binomial theorem 1.2 Polynomials 1.3 Division of polynomials 1.4 Linear graphs 1.5 Quadratic graphs 1.6 Cubic graphs 1.7 Quartic graphs Summary Chapter review Chapter 2: Other graphs and modeling 2.1 The parabola (turning point form) 2.2 The cubic function of the form y = a(x - h)3 + k 2.3 The hyperbola 2.4 The truncus 2.5 The square root function 2.6 The absolute value function 2.7 Modelling Summary Chapter review Chapter 3: Exponential and logarithmic equations 3.1 The index laws 3.2 Logarithm laws 3.3 Indicial equations 3.4 Logarithmic equations using any base 3.5 Exponential equations (base e) 3.6 Equations with natural (base e) logarithms 3.7 Inverses 3.8 Exponential and logarithmic modeling Summary Chapter review Chapter 4: Exponential and logarithmic graphs 4.1 Graphs of exponential functions with any base 4.2 Logarithmic graphs to any base 4.3 Graphs of exponential functions with base e 4.4 Logarithmic graphs to base e 4.5 Finding equations for graphs of exponential and logarithmic functions 4.6 Addition of ordinates 4.7 Exponential and logarithmic modeling using graphs Summary Chapter review Chapter 5: Inverse functions 5.1 Relations and their inverses 5.2 Functions and their inverses 5.3 Inverse functions 5.4 Restricting functions Summary Chapter review Chapter 6: Circular (trigonometric) functions 6.1 Revision of radians and the unit circle 6.2 Symmetry and exact values 6.3 Trigonometric equations 6.4 Trigonometric graphs 6.5 Graphs of the tangent function 6.6 Finding equations of trigonometric graphs 6.7 Trigonometric modelling 6.8 Further graphs Summary Chapter review Chapter 7: Differentiation 7.1 Review - gradients and rates of change 7.2 Limits and differentiaition from first principles 7.3 The derivative of xn 7.4 The chain rule 7.5 The derivative of ex 7.6 The derivative of logex 7.7 The derivatives of sinx, cosx and tanx 7.8 The product rule 7.9 The quotient rule 7.10 Mixed problems on differentiation Summary Chapter review Chapter 8: Applications of differentiation 8.1 Sketching curves 8.2 Equations of tangents and normals 8.3 Maximum and minimum problems when the function is known 8.4 Maximum and minimum problems when the function is unknown 8.5 Rates of change Summary Chapter review Chapter 9: Integration 9.1 Revision of antidifferentiation 9.2 Integration of ex, sin x and cos x 9.3 Integration by recognition 9.4 Approximating areas enclosed by functions 9.5 The fundamental theorem of integral calculus 9.6 Signed areas 9.7 Further areas 9.8 Areas between two curves 9.9 Further applications of integration Summary Chapter review Chapter 10: Discrete random variables 10.1 Probability revision 10.2 Discrete random variables 10.3 Expected value of discrete random distributions 10.4 Variance and standard deviation of discrete random distributions Summary Chapter review Chapter 11: The binomial distribution 11.1 The binomial distribution 11.2 Problems involving the binomial distribution for multiple probabilities 11.3 Markov chains 11.4 Expected value, variance and standard deviation of the binomial distribution Summary Chapter review Chapter 12: Continuous distributions 12.1 Continuous distributions 12.2 Using a probability density function to find probabilities of continuous random variables 12.3 Measures of central tendency and spread 12.4 Applications to problem solving 12.5 The normal distribution 12.6 The standard normal distribution 12.7 The inverse cumulative normal distribution Summary Chapter review Answers Index

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