Unit 1
Differentiation
Rates of change, standard rules and applications.
Secondary School · Ages 15–18
A Level & IB Pure Mathematics
Differentiation, integration, functions, series and proof at advanced level.
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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.
Unit 2
Integration
Reversing differentiation, definite integrals, substitution and parts.
Unit 3
Differentiation techniques
Chain, product and quotient rules, and turning points.
Unit 4
Integration techniques
Definite integrals, areas, substitution and integration by parts.
Concepts to practise again
Built from your saved practice attempts in this course, weakest question types first.
Complete a practice set in any lesson to see which question types to practise again.
Curriculum alignment
This course satisfies the following education systems.
A Levels
International Baccalaureate
Edexcel
Cambridge
American Curriculum
Australian Curriculum
Canadian Curriculum