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NSW Mathematics Extension 1 11-12 Syllabus (2024) New

Functions, Further work with functions, Graphical relationships, Inverse functions, Parametric form of a function or relation, Inequalities, Polynomials, Language and graphs of polynomials, Remainder and factor theorems, Sums and products of zeroes of polynomials, Trigonometric functions, Further trigonometry, Trigonometry in three dimensions, Further trigonometric identities, Further trigonometric equations, Inverse trigonometric functions, Definitions of inverse trigonometric functions, Graphs of inverse trigonometric functions, Combinatorics, Permutations and combinations, The binomial theorem, Proof, Proof by mathematical induction, Vectors, Introduction to vectors, Vector representation and notation, Introduction to 2D and 3D vectors, Operating with vectors, Further operations with vectors, Motion in vector form in two dimensions, Projectile motion, Calculus, Further calculus skills, Further derivatives of functions, Techniques of integration, Further applications of calculus, Multiplicity of zeroes of polynomial functions, Further rates of change, Areas between curves and volumes of solids of revolution, Differential equations, Statistical analysis, The binomial distribution and sampling distribution of the mean, Bernoulli distributions, Binomial distributions, Sampling distribution of the mean and the central limit theorem

Attribution: Attribution: Based on the Mathematics Extension 1 11–12 Syllabus (2024). © NSW Education Standards Authority. NESA grants a limited non-exclusive licence to teachers employed in NSW government schools and registered non-government schools to use, modify and adapt the NSW syllabuses for non-commercial educational use only.