Numerical solutions of equations notes
This document contains notes for numerical solutions of equations. It contains just a few quick key points that you should remember especially for FP1 exams. Equations of the form f(x) = 0 can be solved using interval bisection. If you [...]
Coordinate geometry in the (x, y) plane notes
This document contains notes for coordinate geometry in the (x, y) plane. They should be helpful while working with coordinate geometry in the (x, y) plane.
Integration notes
This section contains necessary notes that are useful which working with integrations
Differentiation notes
This section contains useful notes for differentiation. The gradient of a curve y=f(x) at a specific point is equal to the gradient of the tangent to the curve at that point. The gradient of the tangent at any particular point [...]
Dividing polynomials
This chapter explores dividing polynomials. It covers algebraic division of polynomials by (x + a) or (x – a). Before attempting this chapter you must have prior knowledge of long division and knowing that polynomials can be written as a [...]
Equation of a line
This chapter explores equation of a line. It covers understanding that y – y = m(x = x1) is the equation of a straight line, finding the equation of a line using gradient and one point, finding the equation of [...]
Solving Equations With Algebraic Fractions
This chapter explores solving equations with algebraic fractions. It covers understanding how to solve equations involving fractions, working with denominators with either constants or linear factors. Before attempting this chapter you must have prior knowledge of expanding brackets and factorising [...]
Intersecting Lines and Curves 1
This section explores intersecting lines and curves. This is the first part of this chapter. It covers finding the intersection of a line and a curve using algebraic methods. It will be useful to have prior knowledge of solving linear [...]
Sketching polynomials
This chapter explores sketching polynomials. It covers general shapes of quadratics, cubics and identifying the maximum number of turning points, roots and intercepts, and linking to factorised forms for example f(x) = (x-a)(x-b)(x-c). Before attempting this chapter you must have [...]
Differentiation Particular Solutions
This chapter explores particular solutions to differential equations. The chapter covers finding the particular solution to a first order differential equations by suing given conditions. Before attempting this chapter you must have prior knowledge of solving first order differential equations [...]