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...
Tagged: Alevel
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...
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...
Sketching Quadratic Graphs 1
This chapter explores sketching quadratics. This is the first part. It covers sketching quadratics of the form f(x) = x2 + bx + c, sketching quadratics of the form f(x) = (x + p)2...
Equation of a line 2
This is the second part for the equation of a line chapter. This covers understanding that a line can be described using an equation, understanding how gradient and intercept affect a line, sketching lines...
Implicit differentiation
This chapter explores implicit differentiation. The chapter covers differentiating a function defined implicitly; Finding equations of tangents and normals to curves defined implicitly. Before attempting this chapter you must have prior knowledge of basic...
Integration by Parts – Twice
This chapter explores integration by parts twice. The chapter covers using the method of integration by parts twice to integrate much more complex functions, and using standard trigonometric integrals in integration by parts. Before...
Partial Fractions
This chapter explores partial fractions. The objectives for this chapter are to be able to express a fraction with linear fractions in the denominator as partial fractions and expressing a fraction with repeated linear...
Using Partial fractions
This chapter explores partial fractions. The objective for this chapter is to integrate a fraction using partial fractions. Before attempting the chapter you must have prior knowledge of partial fractions, and integrating simple fractions...
Quadratic Inequalities
This chapter explores quadratic inequalities. The chapter insures that you gain knowledge that quadratic inequalities have two limits and solving quadratic inequalities by inspecting the graph. Before attempting this chapter you must have prior...