Topic 1
Differentiation
Rates of change, standard rules and applications.
Advanced · Ages 16–18
A Level & IB Pure Mathematics
Differentiation, integration, functions, series and proof at advanced level.
What you will be able to do
- Differentiate using the chain, product and quotient rules
- Integrate by substitution and by parts
- Work confidently with functions, logarithms and series
- Construct rigorous proofs
Course contents
Every topic, lesson by lesson.
Topic 2
Integration
Reversing differentiation, definite integrals, substitution and parts.
Topic 3
Differentiation techniques
Chain, product and quotient rules, and turning points.
Topic 4
Integration techniques
Definite integrals, areas, substitution and integration by parts.
Curriculum alignment
This course satisfies the following education systems.
A Levels
International Baccalaureate
Edexcel
Cambridge
American Curriculum
Australian Curriculum
Canadian Curriculum