Convert a new problem into an old one

What do you do when you see a new problem? Try to convert it into an old one. Here is an example:


One day a mathematician decides that he is sick of math and wants to be a fireman. So, the mathematician walks down to the fire department and announces that he wants to become a fireman.
The fire chief says, “Well, you look like a good guy. I’d be glad to hire you, but first I have to give you a little test.”
The fire chief takes the mathematician to the alley behind the fire department which contains a dumpster, a spicket, and a hose. The chief then says, “OK, you’re walking in the alley and you see the dumpster here is on fire. What do you do?” The mathematician replies, “Well, I hook up the hose to the spicket, turn the water on, and put out the fire.”

The chief says, “That’s great… perfect. Now I have to ask you just one more question. What do you do if you’re walking down the alley and you see the dumpster is not on fire?” The mathematician puzzles over the question for awhile and the finally says, “I light the dumpster on fire.” The chief yells, “What? That’s horrible! Why would you light the dumpster on fire?” The mathematician replies, “Well, that way I reduce the problem to one I’ve already solved.”


(Math 253)Homework 9(DUE 4/29)

Hi all,

Just a reminder: the quiz correction is due Wednesday, April 27. This set of homework is short, because I expect you to use the time and do test correction. (the test will be graded over the weekend and handed back to you on Monday)

15.1: 1(a),2,4(a),6, 12, 14

15.2: 1,2,3,5,8

(Math 152)Homework 9(DUE 4/29)

Hi all,

The correction of quiz 2 is due on Monday, April 25. The set of homework would be short, as I expect you to do correction of test 2 when it is handed back to you on Monday (they will be graded over the weekend, and when grades are posted, you will get an email notification). Here is the homework:

7.8: 1(a,c), 2,3,5,6,9

11.1: 5,7,8,10,17,18,20,22

(Math 253) Review homework

Hi all,

Here are some review problems, they are never due. Bring any questions on Wednesday!


13.1: 6,16,36

13.2: 7(b),26,32,36

13.4: 19,20

14.2: 18,32,39

14.3: 25,32,46,51,72(f),74(d)

14.4: 3,13,20,26

14.5: 5,12,14,28 (don’t use the formulas, just implicitly differentiate)

14.6: 7,9,12,15,22

14.7: 5,8,12,29,32,34

14.8: 3,10,18