Edexcel AS and A Level Modular Mathematics Further Pure Mathematics 2 FP2

Name: Edexcel AS and A Level Modular Mathematics Further Pure Mathematics 2 FP2
Brand: Pearson Education Limited
Price: 18.89 EUR
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Keith Pledger(Author)

Pearson Education Limited (Publisher)

1st Edition

Published on 28. March 2017

192 pages

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978-1-292-18511-8 (ISBN)

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Chapter 1: Inequalities
1.1: Solving inequalities by manipulation
1.2: Solving inequalities graphically
Chapter 2: Series
2.1: Using the method of differences to sum simple finite series
Chapter 3: Further complex numbers
3.1: The modulus - argument form
3.2: Euler's relation
3.3: Multiplying and dividing two complex numbers
3.4: De Moivre's theorem
3.5: De Moivre's theorem applied to trigonometric identities
3.6: Using de Moivre's theorem to find the nth roots of a complex number
3.7: Using complex numbers to represent a locus of points on an Argand diagram
3.8: Using complex numbers to represent regions on an Argand diagram
3.9: Applying transformations that map points on the z-plane to points on the w-plane by applying a formula relating z = x + iy to w = u + iv
Review Exercise 1
Chapter 4: First order differential equations
4.1: Solving first order differential equations with separable variables and the formation of differential equations and sketching members of the family of solution curves
4.2: Solving exact equations where one side is the exact derivative of a product and the other side can be integrated with respect to x
4.3: Solving first order linear differential equations of the type dy/dx + Py = Q, where P and Q are functions of x, by multiplying through the equation by an integrating factor to produce an exact equation
4.4: Using a given substitution to reduce a differential equation into one of the above types of equation, which you can then solve
Chapter 5: Second order differential equations
5.1: Finding the general solution of the linear second order differential equation ad2y/dx2 + bdy/dx + cy = 0, where a, b and c are constants and where b2& 4ac
5.2: Finding the general solution of the linear second order differential equation ad2y/dx2 + bdy/dx + cy = 0, where a, b and c are constants and where b2 = 4ac
5.3: Finding the general solution of the linear second order differential equation ad2y/dx2 + bdy/dx + cy = 0, where a, b and c are constants and where b2&4ac
5.4: Finding the general solution of the linear second order differential equation ad2y/dx2 + bdy/dx + cy = f(x), where a, b and c are constants, by using y = complementary function + particular integral
5.5: Using boundary conditions, to find a specific solution of the linear second order differential equation ad2y/dx2 + bdy/dx + cy = f(x), where a, b and c are constants, or initial conditions to find a specific solution of the linear second order differential equation ad2x/dt2 + bdx/dt + cx = f(t), where a, b and c are constants
5.6: Using a given substitution to transform a second order differential equation into one of the above types of equation, and solving it
Chapter 6: Maclaurin and Taylor series
6.1: Finding and using higher derivatives of functions
6.2: Expressing functions of x as an infinite series in ascending powers of x using Maclaurin's expansion
6.3: Finding the series expansions of composite functions using known Maclaurin's expansions.
6.4: Finding an approximation to a function of x close to x = a, where a ? 0, using Taylor's expansion of the function
6.5: Finding the solution, in the form of a series, to a differential equation using the Taylor series method
Chapter 7: Polar coordinates
7.1: Polar and Cartesian coordinates
7.2: Polar and Cartesian equations of curves
7.3: Sketching polar equations
7.4: Areas using polar coordinates
7.5: Finding tangents parallel and perpendicular to the initial line
Review Exercise 2
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Edexcel AS and A Level Modular Mathematics Further Pure Mathematics 2 FP2

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