lecturing A number of students constantly missed class, so I tried to give mini-lectures after a while. But instead . . . way, or made an interesting mistake. – [[Eric Hsu]] 1999-01-20 . . . 1K - last updated 2009-08-20 23:03 by EricHsu
manage-groups The most visible feature of my section was that students worked in groups standing up at the blackboard . . . project, almost a group piece of art. – [[Eric Hsu]] 1998-04-01 It is important to keep in mind . . . individual personalities of each students. – [[Eric Hsu]] 1999-01-20 I randomized my students into . . . specialness to the work they were doing. – [[Eric Hsu]] 1999-01-20 . . . 3K - last updated 2009-08-20 23:03 by EricHsu
mike01-001
Below is a list of some ``simple'' algebra problems. Some
of the solutions are correct and some of them are {wrong}! For
each problem:
determine if the answer is correct;
determine if there are any mistakes made in solving the
problem and list them ({note} that just because the answer is
correct does not mean there are no mistakes);
if there are mistakes, redo the problem correctly; if
there are no mistakes, devise {ANOTHER} correct method to solve
the problem.
Imagine a road on which the speed limit is specified at
every single point. In other words, there is a certain function $L$
such that the speed limit $x$ miles from the beginning of the road is
$L(x)$. Two cars A and B, are driving along this road; car A's
position at time $t$ is $a(t)$, and car B's is $b(t)$.
What equation expresses the fact that the car A always
travels at the speed limit?
(Hint: the answer is {not} $a'(t)=L(t)$.)
Suppose that A always goes at the speed limit, and that
B's position at time $t$ is A's position at time $t-1$. Show that B
is also going at the speed limit at all times.
Suppose B always stays at a constant distance behind A.
Under what circumstances will B still always travel at the speed limit?