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A-Level Further Maths-Roots of Polynomials PPT and Lesson Booklet
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A-Level Further Maths-Roots of Polynomials PPT and Lesson Booklet

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Recall and use the relations between the roots and coefficients of polynomial equations Solve problems involving unknown coefficients in equations; restricted to equations of degree 2, 3 or 4 Use a substitution method to obtain an equation whose roots are related in a simple way to those of the original equation e.g where the new roots are reciprocals or squares or a simple linear function of the old roots.
A-Level Further Statistics – Probability Generating Functions PPT and Lesson Booklet
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A-Level Further Statistics – Probability Generating Functions PPT and Lesson Booklet

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Understand the concept of a probability generating function (PGF) and construct and use the PGF for given distributions e.g discrete uniform, binomial, geometric and Poisson distributions Use formulae for the mean and variance of a discrete random variable in terms of its PGF, and use these formulae to calculate the mean and variance of a given probability distribution Use the result that the PGF of the sum of independent random variables is the product of the PGFs of those random variables.
A-Level Further Statistics – – Inference using Normal and t-Distribution PPT
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A-Level Further Statistics – – Inference using Normal and t-Distribution PPT

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Formulate hypotheses and apply a hypothesis test concerning the population mean using a small sample drawn from a normal population of unknown variance, using a t-test Calculate a pooled estimate of a population variance from two samples Formulate hypotheses concerning the difference of population means, and apply, as appropriate – a 2-sample t-test – a paired sample t-test – a test using a normal distribution Determine a confidence interval for a population mean, based on a small sample from a normal population with unknown variance, using a t-distribution Determine a confidence interval for a difference of population means, using a t-distribution or a normal distribution, as appropriate.
A-Level Further Statistics – Inference using Normal and t-Distribution PPT and Lesson Booklet
TheRevisionStationTheRevisionStation

A-Level Further Statistics – Inference using Normal and t-Distribution PPT and Lesson Booklet

(0)
Formulate hypotheses and apply a hypothesis test concerning the population mean using a small sample drawn from a normal population of unknown variance, using a t-test Calculate a pooled estimate of a population variance from two samples Formulate hypotheses concerning the difference of population means, and apply, as appropriate – a 2-sample t-test – a paired sample t-test – a test using a normal distribution Determine a confidence interval for a population mean, based on a small sample from a normal population with unknown variance, using a t-distribution Determine a confidence interval for a difference of population means, using a t-distribution or a normal distribution, as appropriate.
A-Level Further Pure Maths 2-Integration PPT
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A-Level Further Pure Maths 2-Integration PPT

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The resource covers: Integration hyperbolic functions and inverses Derive and use reduction formulae for the evaluation of definite integrals Approximating area under a curve using area of rectangles and use rectangles to estimate or set bounds for the area under a curve or to derive inequalities or limits concerning sums Use integration to find arc lengths for curves with equations in Cartesian coordinates, including the use of a parameter, or in polar coordinates Use integration to find surface areas of revolution about one of the axes for curves with equations in Cartesian coordinates, including the use of a parameter.
A-Level Further Pure Maths 2-Integration PPT and Lesson Booklets
TheRevisionStationTheRevisionStation

A-Level Further Pure Maths 2-Integration PPT and Lesson Booklets

(0)
The resource covers: Integration hyperbolic functions and inverses Derive and use reduction formulae for the evaluation of definite integrals Approximating area under a curve using area of rectangles and use rectangles to estimate or set bounds for the area under a curve or to derive inequalities or limits concerning sums Use integration to find arc lengths for curves with equations in Cartesian coordinates, including the use of a parameter, or in polar coordinates Use integration to find surface areas of revolution about one of the axes for curves with equations in Cartesian coordinates, including the use of a parameter.