Trapezium Rule
Practise using the trapezium rule to find an approximate value for the area under a curve.
Differentiation
Practise the technique of differentiating polynomials with this self marking exercise.
Integration
Exercises on indefinite and definite integration of basic algebraic and trigonometric functions.
Partial Fractions
Exercises on mastering the art of partial fraction decomposition.
Parametric Equations
Develop the skills required to manipulate a set of equations involving a paramater.
Maxvoltray
Find the maximum volume of a tray made from an A4 sheet of paper. A practical mathematical investigation.
This is the main Transum help video on Calculus.
Introduction to Calculus
This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives, and integrals are introduced.
Differentiation Video
A reminder of how to differentiate different types of functions and how to find the equations of tangents and normals.
Integration Video
You can't possibly learn all about integration from a 28 minute video so all that this resource can do is provide a quick revision to help you do the online exercise.
The Birth Of Calculus
A fascinating BBC Two television programme from 1986. A documentary on Leibniz and the calculus.
Calculus Grapher
Given a function, predict the integral, first derivative, or second derivative curves.
Refreshing Revision
Every time you refresh the page you get different revision questions for whole class retrieval practice.
Integration Flowchart
This flowchart will only be of use to those who have already learnt the techniques mentioned in the IB AA Syllabus.
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Teachers might find the complete Calculus Topic List useful.
It is said that the word calculus comes from the Latin word for the small pebble used for counting and calculations. The two major branches, differentiation and integration, are studied by pupils only towards the end of their school days but does then form a major part of their studies. A course in calculus is a prerequisite for other, more advanced courses in mathematical analysis.
