*in which we find out about fixed points and permutation properties of Möbius maps.
*

# Month: November 2014

# Groups Lecture 22

*in which we view Möbius maps via matrices, and compose geometrically meaningful maps.
*

# What is the most important thing you learn at University?

A friend recently suggested to me that we should perhaps tell students earlier what she was told by her professor in Germany only in her third year or so.

**The most important thing you learn at University is how to learn.**

# Independent Learners vs Educational Principles

A conversation after the lecture today has led me to think once again about something I’ve been wondering about for a few years. At University, students should develop to become Independent Learners, responsible for their own learning, being active learners rather than passive receptors of knowledge.

# Groups Lecture 21

*in which we meet the Möbius group as transformations of the Riemann Sphere.
*

# Groups Lecture 20

*in which we rotate and reflect in two and three dimensions, and meet the unitary group.
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# What can lectures teach that a book can’t?

Some people learn much better from books than from lectures. That probably depends in part on the quality of the lecturer (and the book), but also on personal learning style and preferences. And that is not a problem: there are plenty of good books to learn from. What can a lecture give on top of this (apart from determining the “examinable material”, which should be a secondary or third (ternary?) consideration at most)? Continue reading