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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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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)
Limits of MacLaurin's Series
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Limits of MacLaurin's Series

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A 'Teach Further Maths' Resource 45 Slides To recall the concept of a ‘limit’. To be able to use MacLaurin’s series expansions to find certain limits. To know and use two special limits
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.
Polar Coordinates 3
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Polar Coordinates 3

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A 'Teach Further Maths' Resource 20 Slides To use the skills learnt so far to solve exam style polar geometry questions.
Linear Laws
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Linear Laws

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A 'Teach Further Maths' Resource 41 slides Lesson Objectives: To be able to reduce various relations to linear laws.
Calculus
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Calculus

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A 'Teach Further Maths' Resource 31 Slides To be able to find the gradient of a curve at any point from first principles.
Roots of Quadratics
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Roots of Quadratics

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A 'Teach Further Maths' Resource 61 slides Lesson Objectives: To understand and use the relationship between the roots and coefficients of a quadratic equation. To find quadratic equations with related roots.
DeMoivre's Theorem and Applications 2
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DeMoivre's Theorem and Applications 2

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A 'Teach Further Maths' Resource 57 Slides To find the cube roots of unity. To illustrate these cube roots on an Argand Diagram. To solve problems relating to the cube roots of unity. To find the nth roots of unity. To illustrate these nth roots on an Argand Diagram. To find the nth roots of any number.
Integration with Hyperbolic Functions
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Integration with Hyperbolic Functions

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A 'Teach Further Maths' Resource 35 Slides To recall the derivatives of hyperbolic functions. To be able to integrate hyperbolic functions. To recognise integrals which integrate to inverse hyperbolic functions.
Second Order Differential Equations
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Second Order Differential Equations

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A 'Teach Further Maths' Resource. 78 slides To understand what is meant by a ‘second order differential equation’. To be able to solve some second order differential equations using the auxiliary equation. To be able to solve some second order differential equations by finding a complementary function and a particular integral.
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.
Improper Integrals 2
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Improper Integrals 2

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A 'Teach Further Maths' Resource 22 slides Lesson Objectives: To know what is meant by an ‘improper integral’. To know how to find certain improper integrals.
Linear Laws and Logarithms
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Linear Laws and Logarithms

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A 'Teach Further Maths' Resource. 25 slides Lesson Objectives: To recall the laws of logarithms. To be able to use logarithms to reduce certain relations to linear laws.
General Solutions of Trigonometric Equations
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General Solutions of Trigonometric Equations

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A 'Teach Further Maths' Resource 34 Slides To be able to find the general solution of simple trigonometric equations in degrees. To be able to find the general solution of simple trigonometric equations in radians.
DeMoivre's Theorem and Applications 1
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DeMoivre's Theorem and Applications 1

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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.
Complex Roots of Polynomials with Real Coefficients
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Complex Roots of Polynomials with Real Coefficients

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A 'Teach Further Maths Resource' 33 Slides To understand that, for a polynomial with real coefficients, any complex roots occur in conjugate pairs. To use this condition in solving various problems about complex roots of polynomials.