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

Matrices

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

Polynomials

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

$$x + iy$$
$$r∠θ$$

Changing Complex Forms

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

$$arg(z+2)$$

Complex Numbers Contd.

Harder questions about complex numbers to expand your understanding

$$α+β$$

Polynomials Contd.

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

$$\sum_{r=1}^{n}r$$

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

$$\frac{x+2}{x^2(x-4)}$$

Partial Fractions

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

$$✓$$

Proofs

Learn how to prove a mathematical statement is correct through equations

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

Vectors

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