Welcome to LearnFM Unit 1!

Below you will find a list of topics that have been released we are aiming to get Unit 1 released by the end of September so stay tuned

Section 1

$$\begin{bmatrix}a & b\\c & d\end{bmatrix}$$


Learn how a matrix works and discover how to add, subtract, multiply and divide them

$$\begin{bmatrix}1 & 0\\0 & -1\end{bmatrix}$$

Matrices Transformation

Learn to transform matrices through multiplication

$$\begin{bmatrix}x\\y\end{bmatrix} = \begin{bmatrix}x'\\y'\end{bmatrix}$$

Invariant Points

Learn about matrices that stay the same even after transformations

Section 2


Learn how to find the roots of a quadratic equation using the quadratic formula

$$x + iy$$

Complex Numbers

Learn about complex numbers and there conjugates and discover how to add, subtract, multiply and divide them

$$x + iy$$

Changing Complex Forms

Learn how how to change complex forms and to use geometry with complex numbers


Complex Numbers Contd.

Harder questions about complex numbers to expand your understanding


Polynomials Contd.

Learn how to find polynomials using their roots and discover ways of finding roots of longer polynomials

Section 3


Sum and Series and Method of Difference

Learn to add long series quickly using summation and how to represent a series in a sum equation


Partial Fractions

Learn to seperate fractions into smaller denominations to easily be used in other equations



Learn how to prove a mathematical statement is correct through equations

Section 4

$$2\underline{i} + 3\underline{j}$$


Learn about vectors which are applied throughout mathematics to represent distances

Vectors on a Plane (3D Vectors)

Learn about vectors in 3D and how they can interact with planes