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Teach Further Maths

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'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 68 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 3000 slides - a comprehensive teaching resource. PowerPoints covering all of the major topics from the syllabi - Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver

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'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 68 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 3000 slides - a comprehensive teaching resource. PowerPoints covering all of the major topics from the syllabi - Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver

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Improper Integrals 1
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Improper Integrals 1

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A 'Teach Further Maths' Resource 12 slides Lesson Objectives: To understand what is meant by an ‘improper integral’. To be able to evaluate simple improper integrals.
MacLaurin's Series
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MacLaurin's Series

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A 'Teach Further Maths' Reesource 38 Slides To be able to use MacLaurin’s Series to find series expansions. To be able to find the Ranges of Validity for certain series.
Matrix Solution of Simultaneous Equations
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Matrix Solution of Simultaneous Equations

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A 'Teach Further Maths' Resource 24 Slides To be able to solve linear simultaneous equations by finding the inverse of a matrix. To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a system of linear simultaneous equations.
Length of a Curve (A-Level Further Maths)
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Length of a Curve (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 20 Slides To find the length of a curve when the curve is given in Cartesian form. To find the length of a curve when the curve is given in Parametric form.
Numerical Methods for 1st Order Differential Equations
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Numerical Methods for 1st Order Differential Equations

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A 'Teach Further Maths' Resource 57 Slides To be able to solve first order differential equations of the form dy/dx = f(x) using the following ‘step by step’ methods: 1. Euler’s method 2. The Mid-Point method. 3. The Improved Euler method.
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DeMoivre's Theorem Bundle
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DeMoivre's Theorem Bundle

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4 Resources
DeMoivre’s Theorem and Applications 1,2,3 and 4. Comprehensive coverage of the theory and applications of DeMoivre’s Theorem for A-Level Further Maths.
The Mean Value Theorem (A-Level Further Maths)
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The Mean Value Theorem (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource To understand and use the Mean Value Theorem for integration. To understand the term ‘Root Mean Square Value’ and know how to calculate it for certain functions. (37 Slides)
Volumes of Revolution (A-Level Further Maths)
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Volumes of Revolution (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource: To be able to derive the formulae for volumes of revolution about the coordinates axes To be able to calculate volumes of revolution about the coordinates axes. To be able to calculate more complicated volumes of revolution about the coordinates axes. (69 Slides)
Partial Fractions and Integration
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Partial Fractions and Integration

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A ‘Teach Further Maths’ Resource To recall previously encountered partial fractions methods (i.e. linear denominators and repeated linear denominators) To be able to find partial fractions when there is a quadratic term in the denominator. To be able to integrate expression using partial fractions. (47 Slides)
Volumes of Revolution
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Volumes of Revolution

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A ‘Teach Further Maths’ Resource To be able to derive the formulae for volumes of revolution about the coordinates axes To be able to calculate volumes of revolution about the coordinates axes. To be able to calculate more complicated volumes of revolution about the coordinates axes. (69 Slides)
Further Numerical Integration
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Further Numerical Integration

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A ‘Teach Further Maths’ Resource To be able to approximate the area under a curve using the Mid-Ordinate Rule. To be able to approximate the area under a curve using Simpson’s Rule. (51 Slides)
Matrix Solution of Simultaneous Equations 1 (A-Level Further Maths)
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Matrix Solution of Simultaneous Equations 1 (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 24 Slides To be able to solve linear simultaneous equations by finding the inverse of a matrix. To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a system of linear simultaneous equations.
DeMoivre's Theorem and Applications 1 (A-Level Further Maths)
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DeMoivre's Theorem and Applications 1 (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 43 Slides To recall how to multiply and divide complex numbers in Modulus-Argument form. To understand DeMoivre’s Theorem. To use DeMoivre’s Theorem to find powers of complex numbers. To use DeMoivre’s Theorem to establish trigonometric identities.
Length of a Curve
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Length of a Curve

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A 'Teach Further Maths' Resource 20 Slides To find the length of a curve when the curve is given in Cartesian form. To find the length of a curve when the curve is given in Parametric form.
The Method of Differences
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The Method of Differences

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A 'Teach Further Maths' Resource 17 Slides To understand the Method of Differences. To be able to use the Method of Differences to prove results for the summation of certain series.