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List of topics for Year 12

Differentiation		Algebra		Statistics		Sampling (cont.)
1	Limits	28	Algebraic Manipulation	51	Central Tendency	77	Confidence Intervals for Means
2	From First Principles	29	Further Equations	52	Spread	78	Confidence Intervals for Proportions
3	Polynomials	30	Changing the Subject / Manipulating Surds	53	Statistical Graphs	79	Confidence Intervals for Difference of Two Means
4	Chain Rule	31	Long Division / Remainder Theorem	54	Stem and Leaf Graphs	80	Calculating Sample Size
5	Exponential Functions	32	Factor Theorem	55	Box and Whisker Plots	Time Series
6	Logarithmic Functions	33	Binomial Theorem	56	Scatter Diagrams	81	Time Series
7	Trigonometric Functions	Complex Numbers		57	Investigations	82	Smoothing Techniques
8	Product Rule	34	Complex Numbers	Probability		Sequences / Series / Functions
9	Quotient Rule	35	Adding and Subtracting	58	Basic Probability	83	Arrangements
10	Implicit Differentiation	36	Multiplying and Dividing	59	Venn Diagrams	84	Permutations and Combinations
11	Tangents and Normals to Curves	37	Argand Diagrams	60	Probability Rules	85	Binomial Expansions
12	Stationary and Turning Points	38	Polar form	61	Conditional Probability	86	Sequences
13	Applications of Differentiation	39	Multiplying and Dividing in Polar Form	62	Tree Diagrams	87	Arithmetic Sequences and Series
14	Parameters	40	De Moivre's Theorem	63	Probability Distribution	88	Geometric Sequences and Series
Integration		Trigonometry		64	Expected Value of a Random Variable	89	Exponential Series
15	Polynomials	41	Trigonometric Graphs	65	Variance of a Random Variable	90	Power Functions
16	Exponential Functions	42	Reciprocal and Inverse Functions	66	Functions of Random Variables	91	Piecewise Functions
17	Surds and Negative Indices	43	Angle Formulae	67	Sums and Differences of Normally Distributed Variables	92	Exponential Modelling
18	Trigonometric Functions	44	Trigonometric Equations	68	Binomial Distribution	93	Power Function Modelling
19	Rational Functions	45	Identities	69	Poisson Distribution	94	Linear Programming
20	Integration by Substitution	46	Applications of Trigonometry	70	Normal Distribution	95	Series Applications / Induction
21	Definite Integration	Geometry		71	Inverse Normal and Continuity Corrections	Motion
22	Trapezium Rule	47	The Circle and Ellipse	72	Normal Approximation to Binomial	96	Projectile Motion
23	Simpson's Rule	48	The Parabola and Hyperbola	73	Normal Approximation to Poisson	97	Simple Harmonic Motion
24	Area under Curves	49	Parametric Equations	74	Poisson Approximation to Binomial	Equations
25	Volume by Integration	50	Tangents, Normals and Coordinate Geometry	Sampling		98	Simultaneous Equations
26	Differential Equations			75	Distribution of sample means	99	Solving Equations -Bisection Method
27	Applications of Differential Equations			76	Central Limit Theorem	100	Newton-Rhapson Method

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List of topics for Year 12