Maths Quest: Maths C Year 11 for Queensland

Maths Quest: Maths C Year 11 for Queensland : Maths C, Year 11 for Queensland

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YEAR 11 THE SERIES A complete Maths package - student texts, student CD-ROMs and a teacher support Web site. * Published specifically for the revised Queensland Senior Maths A, B and C syllabuses for implementation with Year 11 in 2002 and Year 12 in 2003. * Written and compiled by practising Queensland Maths teachers and based on Australia's largest Mathematics project. * Maths Quest has been developed in close consultation with Australia's mathematics teachers to ensure we deliver products that work in the classroom. Each Maths Quest chapter is put through rigorous checks, reviews and trials to ensure: * all exercises are well graded with many skill and application problems, including multiple-choice questions * worked examples are extremely clear and match exercises exactly * a good balance of real-life application questions, investigations and career profiles * that summary and chapter review exercises are comprehensive * the content and approach match the curriculum * technology applications have been fully integrated where appropriate.
A CD-ROM WITH EVERY PURCHASE Each Maths Quest book features a CD-ROM with: * the entire text, and hyperlinks to technology applications, answers and worked examples * hundreds of interactive technology files, including spreadsheets, dynamic geometry, graphics calculator programs, computer algebra systems and more * revision Worksheets and Test yourself sets of mulitple-choice questions *Skillsheets to support students experiencing any difficulties. WEB SITE www.jaconline.com.au/maths Our website offers complete support for all Maths Quest users: * download student worksheets, graded skillbuilders and investigations - FREE! * download a choice of maths software and text chapters to complete sample problems - FREE! * keep up-to-date with new resources in the Maths Quest range * links to other mathematics and related software sites * curriculum information, work programs for maths teachers
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Table of contents

Introduction Acknowledgements Chapter 1: Number systems: the Real Number System Introduction The Real Number system Classification of numbers: rational and irrational Summary of set notation Recurring decimals Real and complex numbers Investigation - Real number investigations Investigation - Other number systems Surds: a subset of irrational numbers Simplifying surds Addition and subtraction of surds Multiplication of surds Division of surds The Distributive Law Rationalising denominators Rationalising denominators using conjugate surds Further properties of real numbers - modulus Solving equations using absolute values Solving inequations Investigation - Approximations for Investigations - Real numbers - application and modelling Summary Chapter review Chapter 2: Number systems: complex numbers Introduction to complex numbers Investigation - Complex numbers in quadratic equations Basic operations using complex numbers Investigation - Plotting complex numbers Conjugates and division of complex numbers Radians and coterminal angles Complex numbers in polar form History of mathematics - Abraham de Moivre Basic operations on complex numbers in polar form Investigation - Multiplication in polar form Graphics calculator notes for complex numbers Investigation - Complex numbers: applications History of mathematics - William Rowan Hamilton Summary Chapter review Chapter 3: Matrices Introduction to matrices Operations with matrices Multiplying matrices History of mathematics - Olga Taussky-Todd Powers of a matrix Investigation - Matrix powers Investigation - Applications of matrices Multiplicative inverse and solving matrix equations The transpose of a matrix Applications of matrices Investigation - Matrix multiplication using a graphics calculator Dominance matrices Investigation - Dominance matrices - another apllication of matrices Summary Chapter review Chapter 4: An introduction to groups Groups Investigation - Algebraic structures The terminology of groups History of mathematics - Niels Henrik Abel Properties of groups Investigation - Applications of groups - permutations Further examples of groups - transformations History of mathematics - Arthur Cayley Investigation - Some applications of group theory Summary Chapter review Chapter 5: matrices and their applications Inverse matrices and systems of linear equations Solving simultaneous equations - the Gaussian elimination method History of mathematics - Carl Friedrich Gauss Introducing determinants Properties of determinants Inverse of a 3 by 3 matrix Cramer's Rule for solving linear equations Investigation - Solving simultaneous equations Investigation - Applications of determinants Summary Chapter review Chapter 6: Transformations using matrices Geometric transformations and matrix algebra Linear transformations Linear transformations and group theory Rotations Reflections Dilations History of mathematics - M.C. Escher Shears Investigation - Transformations Summary Chapter review Chapter 7: Introduction to vectors Vectors and scalars Position vectors in two and three dimensions Multiplying two vectors - the dot product History of mathematics - Charles lutwidge Dodgson Resolving vectors - scalar and vector resolutes Time-varying vectors Summary Chapter review Chapter 8: Vector applications Vectors and their applications Force diagrams and the triangle of forces History of mathematics - Sir Isaac Newton Newton's First Law of Motion Momentum Investigation - Collision momentum Relative velocity Using vectors in geometry Investigation - Three-dimensional non-zero vectors Investigation - Vector geometry Summary Chapter review Chapter 9: Sequences and series Introduction Recognising arithmetic sequences Finding the terms of an arithmetic sequence The sum of a given number of terms of an arithmetic sequence Recognising 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 Compound interest Finding the sum of an infinite geometric sequence Contrasting arithmetic and geometric sequences through graphs Investigation - Reward time Investigation - Changing shape The Mandelbrot Set Investigation - Draw the Mandelbrot Set Fibonacci Sequence Investigation - Fibonacci numbers Summary Chapter review Chapter 10: Permutations and combinations Introduction The addition and multiplication principles Factorials and permutations Arrangements involving restrictions and like objects Combinations Applications of permutations and combinations Pascal's triangle, the binomial theorem and the pigeonhole principle Investigation - Counting paths History of mathematics - Blaise Pascal Summary Chapter review Chapter 11: Dynamics Introduction Differentiation and displacement, velocity and acceleration Investigation - Rectilinear motion Interpreting graphs Investigation - Curve fitting using a graphics calculator Algebraic links between displacement, velocity and acceleration Motion under constant acceleration Summary Chapter review Answers Index
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