Core topics in Mathematics

This course consists of broadly 24 sessions. You can find the material (including videos) for each session on its respective page, although not all will feature the same kinds of resources.

You can also download all of the materials for the course here:

• The full set of printable course notes.
• All of the lecture slides.
• All supplementary materials, including a revision checklist.

The sessions:

1. BIDMAS and fractions
2. Indices
3. Transposing and solving equations
4. Solving harder equations and common algebraic issues
5. Linear functions
6. Quadratic functions
7. Exponential and logarithmic functions
8. Modelling with functions
9. Triangle geometry and introduction to trigonometry
10. Solving trigonometric equations
11. Introduction to differentiation
12. Differentiation - the chain rule
13. Differentiation - the product and quotient rules
14. Stationary points and applications of differentiation
15. Introduction to integration
16. Integration - by substitution
17. Integration - by parts
18. Applications of integration and calculating area under curves
19. Complex numbers - Cartesian form
20. Complex numbers - Polar form
21. Introduction to matrices
22. Using matrices to solve systems of simultaneous linear equations
23. Statistics I
24. Statistics II