Other tags that relate to Towards Maclaurin
Gradients. Investigations. Graph sketching. Maclaurin series. Engineering. Maths Supporting SET. Turning points. Trigonometric functions and graphs. Calculus generally. Differentiation.There are 16 results
Broad Topics > Calculus > Differentiation
Towards Maclaurin
Age 16 to 18 Challenge Level:
Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.
Loch Ness
Age 16 to 18 Challenge Level:
Draw graphs of the sine and modulus functions and explain the humps.
Slide
Age 16 to 18 Challenge Level:
This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.
Integration Matcher
Age 16 to 18 Challenge Level:
Can you match the charts of these functions to the charts of their integrals?
Least of All
Age 16 to 18 Challenge Level:
A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.
Quick Route
Age 16 to 18 Challenge Level:
What is the quickest route across a ploughed field when your speed around the edge is greater?
Turning to Calculus
Age 16 to 18 Challenge Level:
Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
Exponential Trend
Age 16 to 18 Challenge Level:
Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.
Operating Machines
Age 16 to 18 Challenge Level:
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Ramping it Up
Age 16 to 18 Challenge Level:
Look at the calculus behind the simple act of a car going over a step.
Bend
Age 16 to 18 Challenge Level:
What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?
Calculus Countdown
Age 16 to 18 Challenge Level:
Can you hit the target functions using a set of input functions and a little calculus and algebra?
Impedance Can Be Complex!
Age 16 to 18 Challenge Level:
Put your complex numbers and calculus to the test with this impedance calculation.
Bird-brained
Age 16 to 18 Challenge Level:
How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
Generally Geometric
Age 16 to 18 Challenge Level:
Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.
NRICH is part of the family of activities in the Millennium Mathematics Project.