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MATHEMATICAL SCIENCE CENTREProject Maths 
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Go down deep enough into anything and you will find mathematics 
Paper 2
Geometry and Trigonometry (Strand 2)
· Perform constructions 115 and 22. · Prove theorems 11, 12, 13 concerning ratios. · Coordinate geometry of the line · Coordinate geometry of the circle · Solve problems using the sine and cosine rules · Use trigonometry to solve 3D problems. · Graph trigonometric functions. · Solve trigonometric equations · Derive trigonometric formulae
Probability and Statistics (Strand 1)
Probability · Addition Rule: P(A U B) = P(A) + P(B) − P(A n B) · Mutually Exclusive Events: P(A U B) = P(A) + P(B) · Multiplication Law P(A n B) = P(AB) × P(B) · Independent Events: P(A n B) = P(A) × P(B) · Arrangements and Permutations. · Calculate Expected Values. · Calculate Probabilities using the Normal Distribution tables and the Binomial Distribution.
Statistics · Finding, collecting and organising data. · Representing data graphically and numerically. · Draw the line of best and make predictions. · Calculate the correlation coefficient using a calculator.
Correlation Coefficient r = 0………………....None 0 < r ≤ 0.3……….Weak 0.3 < r ≤ 0.7.….Moderate 0.7 < r < 1……….Strong r = 1………………....Perfect
· Calculate the margin of error · Conduct a hypothesis test · Make decisions based on the Empirical Rule.
68% of the data will fall within 1 standard deviation of the mean. 95% of the data will fall within 2 standard deviations of the mean. 99.7% of the data will fall within 3 standard deviations of the mean.

LEAVING CERT PROJECT MATHS (HIGHER LEVEL) 
Paper 1
Number (Strand 3)
· Number Systems N, Z ,Q, R, C · Complex numbers (z = a + ib) · Arithmetic Sequences and Series · Geometric Sequences and Series · Proof by Induction · Limits · Logs and Indices · Financial Mathematics
Algebra (Strand 4)
· Multiplication and division of Polynomials · Factor Theorem · Solving linear equations with 3 unknowns · Inequalities · Complex numbers in rectangular and polar form · De Moivre’s Theorem
Functions and Calculus (Strand 5)
· Finding the period and range. If y = asinbx or y = acosbx Period = 2π/b Range = [a,a]
· Recognise surjective, injective and bijective functions and finding the inverse of a bijective function
· Given a graph of a function sketch the graph of its inverse · Express quadratic functions in complete square form · Graph functions of the form ax^{2}+bx + c, ab^{x} , logarithmic, exponential and trigonometric · Informally explore limits and continuity of functions
Differential Calculus · Differentiate linear and quadratic functions from first principles · Differentiate the following functions polynomial, exponential, trigonometric, rational powers , inverse functions and logarithms · Find the derivatives of sums, differences, products, quotients and compositions of functions · Apply the differentiation of the above functions to solve problems
Integral calculus: · Integrate functions of the form x^{a } a^{x} Sin ax, cos ax · Determine areas of plane regions bounded by polynomial and exponential curves 