21 topics · Units 3 and 4
Specialist Mathematics topic guides
One guide for every topic in Units 3 and 4. Each one walks you through the syllabus skills, shows you how the QCAA have tested them, and gives you the real questions to practise on, with worked solutions when you are ready to check.
Your progress
0 of 109 skills tickedTick off each skill inside its guide once you can do it in an exam.
Unit 3
11 topics- Topic 1.1 Complex arithmetic in polar form
- Topic 1.2 Roots of complex numbers
- Topic 1.3 Factorising polynomials over the complex numbers
- Topic 2 Proof by induction
- Topic 3.1 Vectors in three dimensions
- Topic 3.2 Cartesian and vector equations
- Topic 4.1 Equations of paths
- Topic 4.2 Collision problems
- Topic 4.3 Projectile motion and circular motion
- Topic 5.1 Matrix algebra and systems of equations
- Topic 5.2 Leslie and dominance matrices
Unit 4
10 topics- Topic 1 Integration techniques
- Topic 2.1 Applications of integral calculus
- Topic 2.2 Exponential probability density functions
- Topic 3.1 Related rates and implicit differentiation
- Topic 3.2 Differential equations
- Topic 3.3 Slope fields
- Topic 4.1 Differential equations of motion
- Topic 4.2 Forces and applications
- Topic 5.1 Sample means
- Topic 5.2 Confidence intervals
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