Upper Secondary (S5 – S6)Pure MathematicsCalculus for Upper SecondaryContinuity
Upper Secondary (S5 – S6)Pure Mathematics

Calculus for Upper Secondary

Develop a deep understanding of limits, differentiation and integration, and
apply calculus to solve real-world problems in science, engineering and economics.

CambridgeUNEBKCSE10 topics~5h 20m4.8 (534)3,428 learnersUpdated 28 Sep 2026
20%
Course progress2 of 10 topics completed

Topics & syllabus

Work through the topics in order. Complete lessons, try interactive labs and practise with real-world questions.

10 topics
1Functions ReviewRecap of functions, graphs and key properties.CambridgeUNEB8 lessons25 min
2LimitsUnderstand the concept of limits and limit laws.CambridgeKCSE6 lessons32 min
3ContinuityExplore continuity, one-sided limits and discontinuities.CambridgeUNEB5 lessons28 min
4Differentiation BasicsDerivatives from first principles and basic rules.CambridgeUNEBKCSE8 lessons40 min
5Applications of DerivativesTangent, maxima and minima, and real-world optimisation.CambridgeUNEB6 lessons35 min
6Integration BasicsUnderstand anti-derivatives and key integration rules.CambridgeKCSE7 lessons38 min
7Definite IntegralsEvaluate definite integrals and apply to real problems.CambridgeUNEB6 lessons30 min
8Area Under a CurveUse integration to find areas and solve practical problems.CambridgeKCSE6 lessons28 min
9Revision QuizMixed questions to test your understanding.CambridgeUNEBKCSE1 quiz20 min
10End-of-course AssessmentComprehensive assessment with exam-style questions.CambridgeUNEB1 exam45 min