Maths Quest 12 Specialist Mathematics
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Home > Children's Books > Education & Reference > Mathematics, science and technology > Mathematics and numeracy > Maths Quest 12 Specialist Mathematics: (Maths Quest for Aust Curriculum Series)
Maths Quest 12 Specialist Mathematics: (Maths Quest for Aust Curriculum Series)

Maths Quest 12 Specialist Mathematics: (Maths Quest for Aust Curriculum Series)


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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. Features *Carefully graded exercises with many skill and application problems, including multiple-choice questions *Easy to follow worked examples in Think/Write format *Cross-references throughout exercises to relevant worked examples *A comprehensive chapter review with examination-style questions *TI graphics calculator tips, investigations and career profiles *Additional analysis-style questions *A range of technology-free questions *Updated and revised technology files *Hyperlinks to Casio graphics calculator tips and programs *Several pages left blank to allow students to enter their own notes. The text may be brought into examination 2.* A CD-ROM containing the entire student edition textbook with hyperlinks to hundreds of interactive technology files, skillsheets, worksheets and interactive Test yourself multiple-choice questions.

Table of Contents:
Introduction Acknowledgements Chapter 1: Coordinate geometry Sketch graphs of y = axm + bxn + c where m = 1 or 2 and n = 1 or 2 reciprocal graphs Graphs of ellipses Graphs of hyperbolas Partial fractions Sketch graphs using partial fractions Chapter 2: Circular (trigonometric) functions Reciprocal trigonometric functions Graphs of reciprocal trigonometric functions Trigonometric identities Compound and double angle formulas Inverse circular functions and their graphs Chapter 3: Complex numbers Introduction to complex numbers Basic operations using complex numbers Conjugates and division of complex numbers Complex numbers in polar form Basic operations on complex numbers in polar form Factorisation of polynomials in C Solving equations in C Chapter 4: Representations of relations and regions in the complex plane Rays and lines Circles and ellipses Combination graphs and regions Graphs and other simple curves Chapter 5: Differential calculus The derivative of tan kx Second derivatives Analysing the behaviour of functions using the second derivative Derivatives of inverse circular functions Antidifferentiation involving inverse circular functions Chapter 6: Integral calculus Substitution where the derivative is present in the integrand Linear substitution Antiderivatives involving trigonometric identities Antidifferentiation using partial fractions Definite integrals Applications of integration Volumes of solids of revolution Approximate evaluation of definite integrals and areas Chapter 7: Differential equations Differential equations: related rates Verifying solutions Differential equations of the form = f(x) Differential equations of the form = f(x) Differential equations of the form = g(y) Setting up and solving differential equations Input/output of mixing problems Numerical solutions by Euler's method Chapter 8: Kinematics Differentiation and displacement, velocity and acceleration Using antidifferentiation Motion under constant acceleration Velocity-time graphs Applying differential equations to rectilinear motion Chapter 9: Vectors Vectors and scalars Position vectors in two and three dimensions Multiplying two vectors - the dot product Using vectors in geometry Resolving vectors - scalar and vector resolutes Time-varying vectors Chapter 10: Vector calculus Position, velocity and acceleration Cartesian equations and antidifferentiation Applications of vector calculus Projectile motion Chapter 11: Mechanics Force diagrams and the triangle of forces Newton's First Law of Motion Newton's Second Law of Motion Applications of Newton's First and Second Laws of Motion Applications of Newton's first and second laws to connected masses Variable forces Momentum and Newton's Third Law of Motion Answers Index


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Product Details
  • ISBN-13: 9780731402779
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: John Wiley & Sons Australia Ltd
  • Height: 255 mm
  • Series Title: Maths Quest for Aust Curriculum Series
  • ISBN-10: 0731402774
  • Publisher Date: 20 Apr 2006
  • Binding: Paperback
  • Language: English
  • Weight: 1485 gr


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Maths Quest 12 Specialist Mathematics: (Maths Quest for Aust Curriculum Series)
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