Advanced Problem Solving Module 4
Some of these problems are designed to help you think about fundamental skills and build your mathematical fluency and speed, so don't be put off if you think they're too easy!
On most STEP and other advanced mathematics examinations papers, there are several questions requiring a good understanding of integration and differentiation. This module is intended to help you to develop your intuition for calculus, and we hope that by working through the problems you will gain a deeper understanding of the ideas behind integration and differentiation. The next module will focus on calculus techniques.
Calculus Analogies Age 16 to 18
Challenge Level
Challenge Level
Consider these analogies for helping to understand key concepts in
calculus.
Turning to Calculus Age 16 to 18
Challenge Level
Challenge Level
Get started with calculus by exploring the connections between the
sign of a curve and the sign of its gradient.
Patterns of Inflection Age 16 to 18
Challenge Level
Challenge Level
Find the relationship between the locations of points of inflection, maxima and minima of functions.
Calculus Countdown Age 16 to 18
Challenge Level
Challenge Level
Can you hit the target functions using a set of input functions and a little calculus and algebra?
Integration Matcher Age 16 to 18
Challenge Level
Challenge Level
Can you match the charts of these functions to the charts of their integrals?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.