Week 3
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Here are some links and resources for the third week of the course,
mostly just for Oliver to be prepared, have a link repository and
have a backup channel in case of technology failure.
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exp(log|x|) and log|exp(x)|
In a jam, we looked also at the question whether these functions are
continuous. They are. It is a bit strange that Desmos uses the base 10
log by default. Every programming language on earth (java, javascript, perl,
python, mathematica etc except excel) and every mathematics text (except
for intro calculus books) use log=ln for the natural log and log
10 when
specifying the base 10 (which is a human thing because we have 10 fingers!).
This is the reason why we don't see the straight line by default. In Mathematica
for example, the third graph is shown when plotting exp(log(x)).
The expression exp(log
10(x)) can be written as exp(log(x)/log(1)) = exp(0.434*log(x)) = x
0.434
which is very close to the square root function.
Polls from lecture 5
Polls from lecture 6
Polls from lecture 7
We tried out a competitive poll in Poll everywhere.
Easier questions but timed.
