Review/revision
3-Dimensional Solids
On this page, we will look at finding the volume and surface area of three-dimensional solids. The formulae for these solids can all be found in the formula booklet. You just need to know where to find...
Review/revision
Sums and Products of Roots HL
On this page, we learn all about roots of polynomial equations and how to use the formulae for the sum of the roots and the product of the roots. For the polynomial equation of degree n \sum_{r=0}^{n}a_rx^r=0,...
Review/revision
Factor and Remainder Theorem HL
The Factor and Remainder Theorems form a small, but significant part of the course. They are not at all difficult, but it is worth reminding yourself of these theorems, since, in examinations, students...
Review/revision
Transforming Functions HL
For the topic of transforming functions, we need to understand the effects that translating, reflecting and stretching have on functions. On this page, we will also consider graphs of |f(x)| , f(|x|) , \dfrac{1}{f(x)} as...
Review/revision
Transforming Functions SL
For the topic of transforming functions, we need to understand the effects that translating, reflecting and stretching have on functions. You may be asked to describe the transformations, sketch graphs...
Review/revision
Rational Functions SL
On this page, we will look at the properties of the reciprocal function and the rational function. You may be required to draw a sketch of these functions. In these cases, it is important to know how...
Review/revision
Rational Functions HL
On this page, we will look at the properties of the reciprocal function and rational functions. You may be required to draw a sketch of these functions. In these cases, it is important to know how to...
Review/revision
Quadratics
On this page we will look at quadratic expressions and how the different factorised forms link to the shape of the graph. We will also get an understanding about how the discriminant affects not only...
Review/revision
Functions - The Basics
In this page, we will look at the different types of relations including functions. The first step to gaining a good understanding of functions is to think about inputs and outputs. Once that is clear,...
Review/revision
Differential Equations HL - Homogeneous
When a first-order differential equation is not immediately separable or linear, it may still be possible to solve it using a substitution. A first-order homogeneous differential equation can be written...