In the research group, we are working with mathematical theories, experimental measurements using laser methods in the Hydrodynamics Laboratory, numerical methods and computations of such waves, flows and their impact. We work with finite element methods FEniCS and computational methods in fluid mechanics with simulations of single- and multiphase flows including the motion of free boundaries like surfaces and internal waves.
We work with turbulence modelling Large Eddy Simulations and through the 4DSpace project we are now even investigating turbulence in space. Nettredaksjonen, Matematisk institutt. While both specifications have been accredited against the same DfE criteria, they are slightly different in approach.
This means we can offer choice to centres so they can deliver the course that best suits their students. While much of the content is similar, one difference in the mechanics section is with moments in A Level Maths.
A section on the differences has been included in this republished blog to support students studying remotely during the current lockdown. You can access the and material with your Interchange login. See our past paper schedule of moving material from Interchange to the open website. In the legacy A Level Maths, many centres did not offer mechanics choosing instead to offer S1 and D1 and of those centres that did M1, the majority delivered it in year Mechanics was also identified as one of the Big 4 changes of the reform.
There is a perception among students that you need to be good at physics to succeed here. In fact, the prior knowledge that underpins mechanics can be seen in everyday life, for example:.
The rest of the content simply builds upon the GCSE Mathematics work on kinematics and the understanding of gradient and area under the graph of velocity-time graphs. Mechanics does build upon the pure content more directly than statistics, so this can cause problems for students that are not yet confident with the underlying pure maths and provides some of the rationale for the common legacy approach of leaving M1 until year An alternative approach to explore with your students could be to get them to embrace mechanics as a concrete, real-life example of the abstract pure maths, as shown in the below calculus example:.
For a selection of useful resources you can work with, see the delivery guides within the planning and teaching section on the qualification pages for Maths A and Maths B. If you have a bolt with a head that is less than 1cm, which is a common occurrence, instead of using a fraction to designate the size, you merely go to the next level, which is measured in millimeters.
It really is not that difficult to comprehend, especially once you get some hands-on experience. Just remember that a different set of tools is needed to work on each type of car. A good mechanic needs to have both. Numbers also come into play in many other ways, such as calculating torque, engine size and displacement, horsepower and firing sequence. Torque is expressed in foot-pounds, and is a measurement of the force needed to tighten a bolt.
You calculate horsepower by multiplying the diameter of a cylinder in inches by the number of cylinders and then dividing that figure by 2. Engine size is the volume of the engine. It is the combination of the volume of all 4, 6 or 8 cylinders whichever may be the case.
This is also called engine displacement. The firing sequence refers to the order in which each cylinder is ignited or fired ; it is determined by the manufacturer. The sequence is not random, but occurs in a highly researched order, designed to give maximum power and efficiency to the engine. It is easy to see how important numbers are in the manufacture and maintenance of automobiles, and it is also important that mechanics and machinists have a good understanding of these two numerical systems.
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