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Dave Edwards in Edinburgh

Hertzsprung-Russell diagram forum tutorial

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Edited by Dave Edwards, Tuesday 11 June 2013 at 15:19

For S282 Astronomy I had the task of running a whole-module week-long tutorial in a forum on the subject of the Hertzsprung-Russell diagram. I had actually done this a couple of times before, so I relied heavily on experience.

I like these week-long tutorials. I enjoy the conversational aspect, and the ability to spend time giving effective and accurate responses to question.

The Hertzsprung-Russell diagram is simply a graph of the intrinsic brightness against surface temperature for stars. It turns out that stars actually plot in certain well defined patches on the graph and these areas correspond to stars at particular stages in their life span.

It is a very important diagram in astronomy. Students need to be able to reproduce it in the exam, and they need to know the evolutionary paths of stars of various masses around the diagram.

So I aimed to get students discussing important points of the diagram, contributing their own sketches of the diagram, and marking on an evolutionary track for their favourite star.

Also I get students to create their own H-R diagram using a spreadsheet and a set of data from

http://www.astronexus.com/node/34

(I used the magnitude 7.5 limit - there are lots of stars in this).

Gaining familiarity with using spreadsheets is one of the objectives of the module, so this activity fits in very well. this also gives the students an opportunity to help each other with Excel or Open Office or Star Office (or whatever version they are using).

As usual, the session went well and a few students clearly made progress with their spreadsheet skills.

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Dave Edwards in Edinburgh

S207 Quantum mechanics with Elluminate

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This is another new tutorial topic for me! The tutorial falls in the early part of S207's Book 7. Therefore I only really need to consider  material on reasons physicists developed quantum theory, wave-particle duality, Heisenberg's uncertainty principle and the one-dimensional time-independent Schrodinger equation for square wells and barriers.

I want to emphasise physical thinking as a means of getting into the maths. The material on the Schrodinger equation is quite mathematical and complex.

I decide to focus on the role of standing waves. These could be waves in a glass of wine (or cup of coffee), or in a skipping rope. I want to show how the confinement of the waves leads to discrete wavelength values, which then give rise to discrete energy values - quantization.

I sketched some one-dimensional standing waves on a rope, and wrote down expression for the possible wavelengths in terms of the length of the rope. Then I put these values into sine and cosine wave functions. These are the permitted waves that can 'stand' on the string.

To prepare the actual tutorial material I started to build a PowerPoint presentation.  Individual slides were prepared by making use of MS Paint (sketching diagram and graph axes), constructing a series of sine and cosine graphs with Excel, and preparing images  of equations in the MS Word equation editor. Student interaction was designed in with some simple quiz questions, by asking students to sketch curves onto my graph axes, and by asking students to do their own algebra.

A copy of the PowerPoint is available here.

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