# Maths Quest Maths C Year 11 for Queensland 2E Solutions Manual

Author/s |
Simpson |
---|---|

ISBN13 | 9780731408306 |

Pub date | May 2009 |

Pages | 247 |

RRP | $49.95 |

**is part of a complete Maths package which includes the Student Text, Teacher Editions, and now also supported with**

*Maths Quest Maths C Year 11 for QLD 2E Solutions Manual***and**

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**Chapter 1 — Number systems: the Real Number**

**System.**

Exercise 1A — Classification of numbers.

Exercise 1B — Recurring decimals.

Exercise 1C — Surds.

Exercise 1D — Simplifying surds.

Exercise 1E — Addition and subtraction of surds.

Exercise 1F — Multiplication of surds.

Exercise 1G — The Distributive Law.

Exercise 1H — Division of surds.

Exercise 1I — Rationalising denominators.

Exercise 1J — Rationalising denominators using conjugate surds.

Exercise 1K — Further properties of real numbers — modulus.

Exercise 1L — Solving equations using absolute values.

Exercise 1M — Solving inequations.

Chapter review.

Modelling and problem solving.

**Chapter 2 — Number systems: Complex numbers. **Exercise 2A — Introduction to complex numbers.

Exercise 2B — Basic operations using complex numbers.

Exercise 2C — Conjugates and division of complex numbers.

Exercise 2D — Radians and coterminal angles.

Exercise 2E — Complex numbers in polar form.

Exercise 2F — Basic operations on complex numbers in polar form.

Chapter review.

Modelling and problem solving.

**Chapter 3 — Matrices. **Exercise 3A — Operations with matrices.

Exercise 3B — Multiplying matrices.

Exercise 3C — Powers of a matrix.

Exercise 3D — Multiplicative inverse and solving matrix equations.

Exercise 3E — The transpose of a matrix.

Exercise 3F — Applications of matrices.

Exercise 3G — Dominance matrices.

Chapter review.

Modelling and problem solving.

**Chapter 4 — An introduction to groups. **Exercise 4A — Modulo arithmetic.

Exercise 4B — The terminology of groups.

Exercise 4C — Properties of groups.

Exercise 4D — Cyclic groups and subgroups.

Exercise 4E — Further examples of groups — transformations.

Chapter review.

Modelling and problem solving.

**Chapter 5 — Matrices and their applications. **Exercise 5A — Inverse matrices and systems of linear equations.

Exercise 5B — Gaussian elimination.

Exercise 5C — Introducing determinants.

Exercise 5D — Properties of determinants.

Exercise 5E — Inverse of a 3 × 3 matrix.

Exercise 5F — Cramer’s Rule for solving linear equations.

Chapter review.

Modelling and problem solving.

**Chapter 6 — Transformations using matrices. **Exercise 6A — Geometric transformations and matrix algebra.

Exercise 6B — Linear transformations.

Exercise 6C — Linear transformations and group theory.

Exercise 6D — Rotations.

Exercise 6E — Reflections.

Exercise 6F — Dilations.

Exercise 6G — Shears.

Chapter review.

Modelling and problem solving.

**Chapter 7 — Introduction to vectors. **Exercise 7A — Vectors and scalars.

Exercise 7B — Position vectors in two and three dimensions.

Exercise 7C — Multiplying two vectors — the dot product.

Exercise 7D — Resolving vectors — scalar and vector resolutes.

Exercise 7E — Time-varying vectors.

Chapter review.

Modelling and problem solving.

**Chapter 8 — Vector applications. **Exercise 8A — Force diagrams and the triangle of forces.

Exercise 8B — Newton’s First Law of Motion.

Exercise 8C — Momentum.

Exercise 8D — Relative velocity.

Exercise 8E — Using vectors in geometry.

Chapter review.

Modelling and problem solving.

**Chapter 9 — Sequences and series. **Exercise 9A — Arithmetic sequences.

Exercise 9B — Geometric sequences.

Exercise 9C — Applications of geometric sequences.

Exercise 9D — Finding the sum of an infinite geometric sequence.

Exercise 9E — Contrasting arithmetic and geometric sequences through graphs.

Chapter review.

Modelling and problem solving.

**Chapter 10 — Permutations and combinations. **Exercise 10A — The addition and multiplication principles.

Exercise 10B — Factorials and permutations.

Exercise 10C — Arrangements involving restrictions and like objects.

Exercise 10D — Combinations.

Exercise 10E — Applications of permutations and combinations.

Exercise 10F — Pascal’s triangle, the binomial theorem and the pigeonhole principle.

Chapter review.

Modelling and problem solving.

**Chapter 11 — Dynamics. **Exercise 11A — Displacement, velocity and acceleration.

Exercise 11B — Projectile motion.

Exercise 11C — Motion under constant acceleration.

Chapter review.

Modelling and problem solving.

**Solutions to investigations.**

**Chapter 1. **Investigation — Other number systems.

Investigation — Real numbers — application and modelling.

**Chapter 2. **Investigation — Complex numbers in quadratic equations.

Investigation — Multiplication in polar form.

Investigation — Complex numbers: applications.

**Chapter 3. **Investigation — Matrix powers.

Investigation — Applications of matrices.

Investigation — Matrix multiplication using a graphics calculator.

**Chapter 4. **Investigation — Application of groups — permutations.

Investigation — Some applications of group theory.

**Chapter 5.**

Investigation — Solving simultaneous equations.

Investigation — Applications of determinants.

**Chapter 6. **Investigation — Transformations.

**Chapter 7. **Investigation — Vectors and matrices.

**Chapter 8. **Investigation — Three-dimensional non-zero vectors.

Investigation — Vector geometry.

**Chapter 9. **Investigation — Reward time.

Investigation — Changing shape.

Investigation — Fibonacci numbers.

Investigation — Draw the Mandelbrot Set.

**Chapter 10. **Investigation — Counting paths.

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