Maths Quest Maths B Year 12 for Queensland 2E & eBookPLUS
|Pub date||October 2009|
Maths Quest for Queensland Years 11 and 12 are now fully supported by Teacher Editions, eBookPLUS, eGuidePLUS and Solutions Manuals.
This title features eBookPLUS which is provided FREE with the textbook, but is also available for purchase separately. eBookPLUS is an electronic version of the textbook and a complementary set of targeted digital resources. These flexible and engaging ICT activities are available to you online at the JacarandaPLUS website (www.jacplus.com.au).
Your eBookPLUS resources include:
• The entire textbook in electronic format
• Interactive activities and a wealth of ICT resources
CHAPTER 1. Modelling change and rates of change.
Using functions to model change.
Graphing polynomial functions.
Investigation — Quartics and beyond.
Review of differentiation.
Rules for differentiation.
CHAPTER 2. Applications of differentiation.
Equations of tangents and normals.
Maximum and minimum problems when the function is known.
Maximum and minimum problems when the function is unknown.
Investigation — Cross-country run.
Rates of change.
CHAPTER 3. Exponential and logarithmic functions.
The index laws.
Logarithms and laws of logarithms.
Logarithmic equations using any base.
Investigation — Graphing inverse functions.
Exponential and logarithmic modelling.
Investigation — An earthquake formula.
Career profile: Tony Intihar.
Investigation — St Louis’ Gateway Arch.
CHAPTER 4. Derivatives of exponential and logarithmic functions.
Derivatives of exponential and logarithmic functions.
Applications of derivatives of exponential functions.
CHAPTER 5. Periodic functions.
Revision of radians and the unit circle.
Symmetry and exact values.
Further trigonometric equations.
Further trigonometric graphs.
Investigation — Complementary functions.
Investigation — Dilation.
Investigation — Reflection.
Finding equations of trigonometric graphs.
Trigonometric modelling and problem solving.
Investigation — Varying amplitude.
Investigation — Beats.
CHAPTER 6. The calculus of periodic functions.
Further differentiation of trigonometric functions.
Applications of differentiation.
Investigation — Halley’s comet.
Investigation — Period and amplitude.
Investigation — Warehouse security.
CHAPTER 7. Introduction to integration.
Approximating areas enclosed by functions.
Investigation — The Monte Carlo method.
Investigation — Area enclosed by a function and the Monte Carlo method.
Integration by recognition.
CHAPTER 8. Techniques of integration.
The fundamental theorem of integral calculus.
Investigation — Definite integrals.
Areas between two curves.
Further applications of integration.
Investigation — Concrete chute.
CHAPTER 9. Probability distributions.
Discrete random variables.
Expected value of discrete random distributions.
The binomial distribution.
Investigation — Binomial distribution graphs.
Problems involving the binomial distribution for multiple probabilities.
Expected value, variance and standard deviation of the binomial distribution.
Investigation — Gary’s test — some answers.
Investigation — The binomial theorem.
CHAPTER 10. The normal distribution.
The normal distribution.
The standard normal distribution.
The inverse cumulative normal distribution.
Investigation — Assessment methods.
Investigation — Sunflower stems.
The normal approximation to the binomial distribution.
Investigation — Supporting the proposal.
Investigation — The Randhill vaccine.
Binomial probability tables (selected).