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The following is a short set of questions that students considering Mathematics at University might want to attempt. My hope is that they will give you a feel for the kind of basic Mathematical thinking required at university level.
1. We all know there is no largest number. Can you give a...

Starting the study of mathematics can be a daunting task even for the most determined of us. From my experience, the key to success is choosing proper textbooks to study from. A trip to the library or a bookstore will most likely be overwhelming for new students as there are a vast number of...

The Clay Mathematics Institute is a private nonprofit foundation “dedicated to increasing and disseminating mathematical knowledge.” In 2000 the Clay Institute put forward seven of what are considered the greatest unsolved problems in modern mathematics puzzling the greatest mathematical minds...

Maths as a language describes the natural world, to a large extent is very similar to English. It is made of numbers, symbols and equations using its unique methodLogic. Comparatively, English which has letter, words and phrases is constructed with grammar and reasoning. So my approach is...

What's the first thing you learn about mathematics? No it's not “1 + 1 = 2”, it's the first thing that you were confused by since the moment you could remember. Few of us remember the first time we looked into a mirror and were confused by the humanlooking figure that seems to move...

What is fractal geometry?
Many forms in nature could be described mathematically as fractals, a word Mandelbrot invented to describe irregular polygons that had edges that were jagged and broken. He said that you could create a fractal by taking a smooth looking, regular polygon, such as...

A question from a Cambridge First Year Applied maths paper from the 60s.
A malignant deity stops the moon dead in its tracks and the moon falls under the Earth's gravity. How long will the moon take to hit the earth? (You may assume that the orbit of the moon is circular with radius R=240,000...

Mathematics. S: (n) mathematics, math, maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement).
'What is there to be said about maths' was the approach that I was going to take when I started thinking about what to write in this article ...

There are many articles and books that introduce you to advanced topics in mathematics in a friendly way. The Scientific American articles written by Martin Gardner and Ian Stewart are particularly recommended. These articles have been collected together in a number of books, some of which can...
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I believe that people learn by doing, not watching. I will encourage the student to perform as much as possible and correct any faulty performance.
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