Specification points
NSW (NESA) HSC Mathematics Extension 1 (2024 syllabus) nesa:mathematics-extension-1:hsc
40 points in 2 topics, with NSW (NESA)'s codes and titles.
Codes and titles are read by a script from NSW (NESA)'s published specification and have not been checked by a person. What each point covers is in the specification itself.
Y11 Year 11
- Y11.1 Further work with functions
- Y11.1.1 Graphical relationships
- Y11.1.2 Inverse functions
- Y11.1.3 Parametric form of a function or relation
- Y11.1.4 Inequalities
- Y11.2 Polynomials
- Y11.2.1 Language and graphs of polynomials
- Y11.2.2 Remainder and factor theorems
- Y11.2.3 Sums and products of zeroes of polynomials
- Y11.3 Further trigonometry
- Y11.3.1 Trigonometry in three dimensions
- Y11.3.2 Further trigonometric identities
- Y11.3.3 Further trigonometric equations
- Y11.4 Permutations and combinations
- Y11.5 The binomial theorem
Y12 Year 12
- Y12.1 Proof by mathematical induction
- Y12.2 Introduction to vectors
- Y12.2.1 Vector representation and notation
- Y12.2.2 Introduction to 2D and 3D vectors
- Y12.2.3 Operating with vectors
- Y12.2.4 Further operations with vectors
- Y12.2.5 Motion in vector form in two dimensions
- Y12.2.6 Projectile motion
- Y12.3 Inverse trigonometric functions
- Y12.3.1 Definitions of inverse trigonometric functions
- Y12.3.2 Graphs of inverse trigonometric functions
- Y12.4 Further calculus skills
- Y12.4.1 Further derivatives of functions
- Y12.4.2 Techniques of integration
- Y12.5 Further applications of calculus
- Y12.5.1 Multiplicity of zeroes of polynomial functions
- Y12.5.2 Further rates of change
- Y12.5.3 Areas between curves and volumes of solids of revolution
- Y12.5.4 Differential equations
- Y12.6 The binomial distribution and sampling distribution of the mean
- Y12.6.1 Bernoulli distributions
- Y12.6.2 Binomial distributions
- Y12.6.3 Sampling distribution of the mean and the central limit theorem