Math 112 Homework

HW 0 - due Wed 8/31:

Write a few paragraphs telling me about yourself. I am especially interested in your mathematical background, your goals for this course and at Gettysburg in general, and anything else you want to tell me.

HW 1 - due Wed 9/7:

Read: 8.1-8.3
Do: 8.1: 10, 14, 18, 40. 8.2: 4, 16, 17, 28, 32, 35, 50
Challenge Problem: 8.1: 50 (Recall that Challenge Problems are not required, but are a good way to earn A La Carte points. If you choose to do this problem, you should turn it in separately but on the same day.)

HW 2 - due Wed 9/14:

Read: 8.1-8.3
Do: 8.2: 54, 56. 8.3: 5, 8, 10, 14, 18, 22, 24, 35.
Challenge Problem: Here (Recall that Challenge Problems are not required, but are a good way to earn A La Carte points. If you choose to do this problem, you should turn it in separately but on the same day.)

HW 3 - due Wed 9/21:

Read: 8.4-8.5
Do: 8.4: 2, 6, 11, 20, 23, 29, 32. 8.5: 4, 8, 13, 21.
Challenge Problem: You can still do last week's. Here's a new one. (Recall that Challenge Problems are not required, but are a good way to earn A La Carte points. If you choose to do this problem, you should turn it in separately but on the same day.)

HW 4 - 'due' Fri 9/30:

You must spend at least 15 minutes seriously thinking about the Problems of the Month, as distributed in class and also found throughout Glatfelter's 2nd floor (on green paper)
This would also be a good week to think about ala carte points. I'll even extend the deadline on the last two Challenge Problems to this Friday.

HW 5 - due Fri 10/7:

Read: 8.6-8.8
Do: 8.6: 6, 8, 11, 12, 36. 8.7: 4, 6, 9, 12, 29.

HW 6 - due Fri 10/14:

Read: 8.8-8.9
Do: 8.8: 2, 5, 10, 16. 8.9: 11, 15, 18, 24, 29, 30.
Challenge: Find the Maclauin series of the function f(x)=x/(1-x-x^2). The coefficients should form a familiar pattern. Can you prove this?

HW 7 - due Fri 10/28:

You must spend at least 15 minutes seriously thinking about the Problems of the Month, as distributed in class and also found throughout Glatfelter's 2nd floor (on red paper)
This would also be a good week to think about ala carte points.
Do: 5.6: 2, 3, 4, 9, 12, 18, 34.
Challenge: 5.6: 36, 46

HW 8 - due Fri 11/4

Read: 7.1-7.3
Do: 7.1: 1, 4, 7, 9, 13, 14. 7.3: 1, 2, 5, 10, 14, 29, 31, 34.
Challenge: What goes up must come down

HW 9 - due Fri 11/11

Read: 7.4-7.5
Do: 7.4: 4, 6, 15, 18, 20. 7.5: 5, 6, 8, 13, 15.
Challenge: What goes up must come down.

HW 10 - due Fri 12/2

Read: 6.2-6.3
Do:6.2: 21, 22, 23, 24, 35. 6.3: 4, 16, 21, 22, 23, 26
Challenge: Arc Length Contest as described on p. 472 -- Can you find a function which is always positive and with f(0)=f(1)=1 with area 1? The smallest arc length gets BONUS Bonus points.