The resource covers: Find an integrating factor for a first order linear differential equation, and use an integrating factor to find the general solution Recall the meaning of the terms ‘complementary function’ and ‘particular integral’ in the context of linear differential equations, and recall that the general solution is the sum of the complementary function and a particular integral Find the complementary function for a first or second order linear differential equation with constant coefficients Recall the form of, and find, a particular integral for a first or second order linear differential equation in the cases where a polynomial or ae^bx or a cos px + b sin px is a suitable form, and in other simple cases find the appropriate coefficient(s) given a suitable form of particular integral. Use a given substitution to reduce a differential equation to a first or second order linear equation with constant coefficients or to a first order equation with separable variables. Use initial conditions to find a particular solution to a differential equation, and interpret a solution in terms of a problem modelled by a differential equation

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.

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

Derive and use reduction formulae for the evaluation of definite integrals

Integration hyperbolic functions and inverses

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.

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.

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.

The resource covers Maclaurin’s series

The resource covers the differentiation of parametric equations

The resource covers differentiation of inverse trigonometric functions

The resource covers the differentiation of implicit functions

The resource covers the differentiating hyperbolic functions and inverses

The resource covers : Differentiating hyperbolic functions and inverses Differentiation implicit functions Differentiating parametric equations Differentiating inverse of trigonometric functions Maclaurin series

The resource covers : Differentiating hyperbolic functions and inverses Differentiation implicit functions Differentiating parametric equations Differentiating inverse of trigonometric functions Maclaurin series

The resource covers : Differentiating hyperbolic functions and inverses Differentiation implicit functions Differentiating parametric equations Differentiating inverse of trigonometric functions Maclaurin series

Empower your students and elevate your lessons with our expertly designed PPT and lesson booklet for teaching proof by induction. Cover these critical concepts with confidence: Summation of Series General Terms in Sequences Divisibility Rules Matrix Products Complex Numbers Reduction Formulae Finding the 𝑛𝑡ℎ Derivative

Empower your students and elevate your lessons with our expertly designed PPT for teaching proof by induction. Cover these critical concepts with confidence: Summation of Series General Terms in Sequences Divisibility Rules Matrix Products Complex Numbers Reduction Formulae Finding the 𝑛𝑡ℎ Derivative

Further Pure Maths 1 Further Maths 2 Further Mechanics Further Statistics

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