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

Author/s Simpson 9780731408306 May 2009 247 \$49.95
Maths Quest Maths C Year 11 for QLD 2E Solutions Manual is part of a complete Maths package which includes the Student Text, Teacher Editions, and now also supported witheBookPLUS and eGuidePLUS!

The second editions of this highly successful maths series have been updated to meet the requirements of the revision of Maths Year 11 syllabus for implementation from 2009.

Features

• Fully worked solutions to every question and investigation in the student textbook
• Allows students to regularly check their understandings in class
• Assists students to continue working if they become confused, either when they are working independently at home or if the teacher is not available to support them.

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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