Specification points
NSW (NESA) HSC Mathematics Advanced (2024 syllabus) nesa:mathematics-advanced:hsc
66 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 Working with functions
- Y11.1.1 Algebraic techniques
- Y11.1.2 Introduction to functions and relations
- Y11.1.3 Linear functions
- Y11.1.4 Quadratic and cubic functions
- Y11.1.5 Reciprocal functions
- Y11.1.6 Constructing and using functions
- Y11.1.7 Direct and inverse variation
- Y11.1.8 Circles and semicircles
- Y11.1.9 Properties of functions, relations and graphs
- Y11.1.10 Piecewise-defined functions
- Y11.1.11 Absolute value functions
- Y11.2 Trigonometry and measure of angles
- Y11.2.1 Trigonometry with acute angles
- Y11.2.2 Trigonometry with angles of any magnitude
- Y11.2.3 Radians
- Y11.3 Trigonometric identities and equations
- Y11.4 Introduction to differentiation
- Y11.4.1 Estimating change
- Y11.4.2 The derivative
- Y11.4.3 Calculations with the derivative
- Y11.4.4 Graphical applications of the derivative
- Y11.4.5 The derivative as a rate of change
- Y11.5 Exponential and logarithmic functions
- Y11.5.1 Exponential functions
- Y11.5.2 Logarithmic functions
- Y11.6 Graph transformations
- Y11.7 Probability and data
- Y11.7.1 Sets and set notation
- Y11.7.2 Probability
- Y11.7.3 Conditional probability
- Y11.7.4 Data
Y12 Year 12
- Y12.1 Further graph transformations and modelling
- Y12.1.1 Transformations of trigonometric functions
- Y12.1.2 Modelling with functions
- Y12.2 Sequences and series
- Y12.2.1 Sequences and series
- Y12.2.2 Arithmetic sequences and series
- Y12.2.3 Geometric sequences and series
- Y12.3 Differential calculus
- Y12.3.1 Differentiation with exponential functions
- Y12.3.2 Differentiation with logarithmic functions
- Y12.3.3 Differentiation with trigonometric functions
- Y12.3.4 Using derivatives
- Y12.4 Integral calculus
- Y12.4.1 Primitive functions
- Y12.4.2 The definite integral
- Y12.4.3 The Fundamental Theorem of Calculus
- Y12.4.4 Indefinite integrals
- Y12.4.5 Integration with exponential functions
- Y12.4.6 Integration with logarithmic functions
- Y12.4.7 Integration with trigonometric functions
- Y12.4.8 Areas and the definite integral
- Y12.5 Applications of calculus
- Y12.5.1 Turning points, inflections and graphing
- Y12.5.2 Optimisation
- Y12.5.3 Rates of change
- Y12.6 Random variables
- Y12.6.1 Discrete random variables
- Y12.6.2 Continuous random variables
- Y12.6.3 The normal distribution
- Y12.7 Financial mathematics
- Y12.7.1 Reducing balance loans
- Y12.7.2 Annuities