Evans M., Lipson K., Jones P., Greenwood D. Mathematical Methods Units 3&4 for Queensland

Cambridge University Press , 2019. — 870 p. — (Series: Cambridge Senior Mathematics for Queensland). — ISBN 9781108451642.Cambridge Senior Mathematics for Queensland combines a proven teaching and learning formula with innovative digital capabilities to explicitly support the implementation of the new maths syllabuses and to lead students towards success in their new internal and external assessments. The proven teaching and learning formula combines logical and manageable topic development, graded questions, linked, step-by-step worked examples, key point summaries and exam-style questions in an uncluttered layout that is easy to follow. Superior internal and external assessment support includes practice exam papers and PMSTs for every QCAA assessment requirement, with solutions or model answers in the Interactive Textbook, along with a complete second set in the Online Teaching Suite, unseen by students. Written explicitly to reflect the spirit of the new Queensland syllabus, Cambridge Senior Mathematics for Queensland includes Degree-of-difficulty categorisation alongside every question and a focus on cognitive verbs that students must master. Problem-solving and modelling questions and investigations allow students to solve mathematical problems and gain strategic competence in real-world contexts. Cambridge Senior Mathematics has been created by an author team with unrivalled expertise in writing examples and problems to prepare students for external assessment, as well as proven experience interpreting the Australian Curriculum. The Interactive Textbook and Online Teaching Suite, powered by Cambridge HOTmaths, provide a new level of digital support for teaching, learning, assessment and reporting through integrated digital resources and a powerful Learning Management System.Preliminary topics
1Functions and relations
2 Coordinate geometry and transformations
3Polynomial functions
4Trigonometric functions
5Revision of preliminary topics
6Exponential and logarithmic functions
7Refresher on differentiation
8Further differentiation and applications
9 Anti-differentiation
10Integration
11Revision of Unit 3
12The second derivative and applications
13Trigonometry using the sine and cosine rules
14Refresher on probability and discrete random variables
15Bernoulli sequences and the binomial distribution
16 Continuous random variables
17The normal distribution
18Sampling and estimation
19Revision of Unit 4
20Revision of Units 3 & 4
AAppendix A: Counting methods and the binomial theorem