MT365 has three more or less self contained tracks:
- Graphs
- Networks
- Designs.
I am currently reading the Introductory Lesson and the ( additional ) book on Graph Theory. An important skill is recognizing / classifying the type of a problem: problem classification. There are four major categories.
- Existence ( i.e. Is there a ... ? )
- Connection ( i.e. Describe the connection ... )
- Enumeration ( i.e. List all ... )
- Optimization ( i.e. What is the fastest / cheapest ... ? )
For each of these categories there are a sort of 'reference problems' that have been studied in depth. The solutions of these problems can be used as a start in solving your own problem.
MT365 seems harder than I thought although there is hardly any mathematics ( calculus / linear algebra / any ) required. The style is not mathematical either. Not the typical theorem, proof, example style. I don't know how many students are assigned to one teacher but from a list I saw that there are approx. 30 MT365 groups. In the book I am reading I read that there are about 500 students taking MT365 every year. Partly due to the T in MT365 I suppose. The course is a so-called applied mathematics course and must therefore be accessible to for example students in computer science or physics.
I read through some CMA questions and before I can answer these I have to quite some studying. MT365 is certainly not a give-away.
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Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before
(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)
The course earns its M if only because of the introduction to Euler's vision of Geometry. 2000 years after Euclid, Euler opened new realms. That really is Mathematics.
ReplyDeleteTony (taking a break from MT365 revision)