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Cambridge Queensland Mathematics C Year 11 : Book with CD - Joe Ousby

Cambridge Queensland Mathematics C Year 11

Book with CD

Format Not Supplied By Publisher Published: 27th November 2008
ISBN: 9780521720625
For Ages: 15 - 18 years old

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Cambridge Queensland Mathematics B Year 11

Cambridge Queensland Mathematics offers a truly balanced course that encourages students to apply maths and technology across a range of learning experiences from real world to abstract, as they achieve key competencies and syllabus objectives.

Series features:

  • Full-colour student texts engage students without compromising the clear and logical presentation of content.
  • Clearly structured mathematical examples with parallel explanations that are followed by Suggested Learning Experiences.
  • Carefully graduated exercises that include MAPS and technology questions.
  • TInspire and Casio Class Pad calculator explanations are integrated throughout the text so students can reference them easily.
  • Teacher CD-ROMs are available for every text, which include Work Programs with links to the syllabus, technology materials and lots of revision.

Chapter 1: Real and complex numbers 1

1.1 Structure of the real number system

1.2 Rational numbers

1.3 Irrational numbers

1.4 The set of complex numbers

1.5 The component parts of complex numbers

1.6 Adding and subtracting complex numbers

1.7 Multiplying complex numbers

1.8 Further multiplication of complex numbers

1.9 Conjugate of a complex number

1.10 Division of complex numbers

1.11 Finding square roots of complex numbers

1.12 Geometric representation of complex numbers – Argand Diagrams

1.14 Multiplication of a complex number by -1 and i

Chapter summary

Revision questions



Chapter 2: Matrices and applications 1

2.1 Introduction to matrices

2.2 Addition, subtraction and multiplication by a scalar

2.3 Multiplication of matrices

2.4 Idempotent and nilpotent matrices Markov chain

2.5 Transpose of a matrix

2.6 Inverses and determinants for 2x2 matrices

2.7 Solution of simultaneous equations using matrices

Chapter summary

Revision questions



Chapter 3: Structures and patterns 1

3.1 Introduction to sequences

3.2 Arithmetic sequences

3.3 Arithmetic series

3.4 Geometric sequences

3.5 Geometric series

3.6 Infinite geometric series

3.7 The binomial expansion and Pascal's Triangle

Chapter summary

Revision questions



Chapter 4: Vectors and applications 1

4.1 Introduction to vectors

4.2 Components of vectors

4.3 Vectors in three dimensions

4.4 Applications (modelling and problem solving)

4. 5 Angles made by a vector with the axes

4.6 Scalar (or dot) product of vectors

4.7 Vector resolutes

4.8 Vector proof

Chapter summary

Revision questions



Chapter 5: Introduction to groups

5.1 Modular arithmetic

5.2 Numbers and algebra

5.3 Matrices

Chapter summary

Revision questions



Chapter 6: Matrices and applications 2

6.1 Solving an equation system using Gaussian elimination

6.2 Solving an equation system using Gauss-Jordon elimination

6.3 The reduced augmented matrix and the nature of the solution

6.4 Inverse of a square matrix

6.5 Determinant of a square n n matrix

6.6 Determinant properties

6.7 Calculating the inverse of a n n matrix with determinants

6.8 Cramer's rule

6.9 Matrix transformations

6.10 Composition of matrix transformations

Chapter summary

Revision questions



Chapter 7: Real and complex numbers 2

7.1 Revisiting basic operations with complex numbers

7.2 The modulus-argument (or polar) form of a complex number

7.3 Basic operations on complex numbers in the modulus-argument form

7.4 Factorisation of polynomials in C

7.5 Solution of polynomial equations

7.6 Using De Moivre's theorem to solve equations of the form zn = a where a is complex

7.7 Relations and regions of the complex plane

Chapter summary

Revision questions



Chapter 8: Structures and patterns 2

8.1 Multiplication principle

8.2 Arrangements or permutations

8.3 Selections or combinations

8.4 More on arrangements and selections

8.5 Applications to probability

8.6 Applications to games of chance

8.7 Fibonacci Lucas and others

Chapter summary

Review questions



Chapter 9: Vectors and applications 2

9.1 Introduction

9.2 Polar form

9.3 Displacement

9.4 3D polar vectors

9.5 Velocity

9.6 Force

9.7 Momentum

9.8 Newton’s laws of motion

9.9 Inclined planes

9.10 Connected particles

9.11 Equilibrium

9.12 Friction and equilibrium

Chapter summary

Revision questions

ISBN: 9780521720625
ISBN-10: 0521720621
Audience: Primary / High School
For Ages: 15 - 18 years old
For Grades: 11
Format: Not Supplied By Publisher
Language: English
Published: 27th November 2008
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 26.19 x 19.76  x 1.96
Weight (kg): 1.01

Earn 101 Qantas Points
on this Book