Math 2210-3
Spring 2010
Homework

2210-3 home page
Professor Korevaar's home page
Department of Mathematics
College of Science
University of Utah

Homework assignments will be posted a week before they are due (generally on Wednesdays). A subset of the underlined problems will be graded; if a problem is not underlined it is recommended but need not be handed in. Solutions and point values for graded problems will be posted after assignments are collected.

Due January 20
    hw1.pdf   NOTE: the 11.3 problems after #17 are postponed until the next assignment.
    hwsols1.pdf   solutions
   Grading:   25 points, distributed as follows:
     Class exercise 1 = 3 points, 2cef = 1 point each, 3ad = 1 point each.
      11.1: 17, 28 = 1 point each; 31 = 2 points (1 point for computation, one for picture), 38 = 1 point.
      11.2: 2, 7 = 1 point each, 17 = 2 points.
      11.3: 1ac, 2df = 1 point each, 3b, 17 = 2 points each.

Due January 27
    hw2.pdf  section 11.5 homework postponed until Feb 3.
    hwsols2.pdf   solutions
   Grading:   24 points, distributed as follows:
     Class exercise 1abc = 2 points each;
      11.3: 25, 27 = 2 points each, 54, 64, 69, 73 = 1 point each;
      11.4: 10, 11, 17, 21, 31 = 2 points each.

Due February 3
    11.5:   3, 9, 13ab, 19, 32, 34, 39, 41, 43, 44;
    11.6:   5, 9, 17, 19, 23, 25, 28, 29a, 30a;
    11.7:   1, 4.   Note: these two problems are postponed until the next hw assignment.
    hwsols3.pdf   solutions
   Grading:   26 points, distributed as follows:
      11.5: 3, 13b, 19, 32 = 1 point each; 34 = 2 points, 39, 41, 44abcd = 1 point each.
      11.6: 5 = 1 point, 9, 17, 19, 23, 25 = 2 points each; 28a, 28b, 29a = 1 point each.

Due February 10
    hw4.pdf   only 11.7 hw is due on 2/10 - the ll.8 hw is postponed until next assignment.
    hwsols4.pdf   solutions
   Grading:   21 points, distributed as follows:
      11.7: 1, 4, 9, 17, 18 = 2 points each, 36, 58 = 1 point each, 59, 61 = 2 points each. 42abcde = 1 point each.

Due February 17
    11.8:   2, 5, 7, 8, 9, 13, 14, 29;
    11.9:   2a, 3a, 4a, 5a, 6a, 7, 8, 9, 13, 15, 17, 23, 27, 35, 36.
    hwsols5.pdf   solutions
   Grading:   21 points, distributed as follows:
    11.8: 2, 7, 8, 9, 13, 14 = 2 points each. On these points you get 1.5 points if your surface is of the correct type with the axes in the correct locations. Another .5 points for the quality of your picture.
    11.9: 2a, 4a, 5a, 7, 8, 9 = 1 point each; 35 = 2 points, 36 = 1 point.

Due February 24
    12.1   1, 9, 10, 11, 17, 18, 23, 24, 25, 27, 33, 35, 41.
    12.2   1, 13, 17, 25, 27, 39, 47.
    hwsols6.pdf   solutions
  Grading: 24 points, distributed as follows:
     12.1   9, 10, 11, 17, 18, 41b = 2 points each.
     12.2   13, 17, 25, 27 = 2 points; 39b, 47a,b,c = 1 point each.

Due March 3
    12.3   1, 2, 3, 7, 9, 10, 21, 35, 36, 37, 38;
    12.4   2, 9, 11, 12, 15, 17;
    12.5   1, 9, 14, 15, 17, 19, 20, 24, 25, 31.
    hwsols7.pdf   solutions
  Grading: 30 points, distributed as follows:
     12.3   2, 7, 9, 10 = 1 point each; 36, 37 = 2 points each.
     12.4   9 = 1 point, 12, 15 = 2 points each, 17 = 1 point.
     12.5   9, 14, 15, 17 = 2 points each; 19 = 3 points; 24 = 2 points; 31c = 3 points.

Due March 10
    12.6   1, 6, 12, 13, 17, 18, 19, 20, 29;
    12.7   1, 4, 6, 9, 15, 22;
    12.8   1, 3, 7, 11, 12, 13, 15, 16;
    hwsols8.pdf   solutions
  Grading: 25 points, distributed as follows:
     12.6   6, 12, 13 = 1 point each; 17, 18, 20 = 2 points each.
     12.7   4, 6, 9, 22 = 2 points each.
     12.8   3, 7, 13, 15 =2 points each.

Due March 17
    12.8   19, 20, 22, 24, 30, 31;
    12.9   1, 3, 5, 9, 11, 14, 16;
    13.1   1, 5, 8, 9, 10, 16;
    13.2   2, 6, 7, 13, 14,, 25, 26, 31, 36. (The last two problems were added on Friday March 12.)
    hwsols9.pdf   solutions
  Grading: 31 points, distributed as follows:
     12.8   19, 20, 24 = 2 points each; 30a, 31 = 2 points each.
     12.9   3, 5, 11, 16 = 2 points each.
     13.1   1, 5, 8, 9, 10 = 1 point each.
     13.2   6, 13, 14, 26 = 1 point each; 31, 36 = 2 points each.

Due March 31
    13.3   1, 5, 11, 15, 16, 18, 21, 25, 27, 35, 36, 39;
    13.4   1, 7, 19, 20, 23, 27, 35;
    13.5   3, 11, 14; for these three problems there are a lot of integrals to compute - once you set them up, feel free to use technology to compute the actual numerical answers.
    13.6   1, 6, 7, 9.
    hwsols10.pdf   solutions
  Grading: 32 points, distributed as follows:
     13.3   15, 16, 18, 27, 36, 39 = 2 points each;
     13.4   7, 19, 20, 35 = 2 points each.
     13.5   3, 14 = 3 points each.
     13.6   1, 6, 9 = 2 points each.

Due April 7
    13.7   1, 1, 7, 11, 12, 17, 23, 27, 29, 30;
    13.8   5, 11, 13, 15, 20;
    13.9   1, 7, 11, 17, 22.
    hwsols11.pdf   solutions
  Grading: 26 points, distributed as follows:
     13.7   7, 12, 17 = 2 points each; 23, 27 = 3 points each; 29 = 2 points.
     13.8   5, 11, 13, 15, 20 = 2 points each.
     13.9   7, 11 = 2 points each.

Due April 14
    14.1   1, 2, 10, 11, 15, 17, 19, 20abc, 21, 25;
    14.2   1, 4, 7, 8, 15, 17, 18, 21, 25, 26.
    hwsols12.pdf   solutions
  Grading: 28 points, distributed as follows:
     14.1   10 = 1 point, 15, 17 = 2 points each, 20abc = 1 point each, 21, 25 = 3 points each points.
     14.2   1, 7, 8, 15, 17, 21, 26 = 2 points each.

Due April 21
    14.3   1, 7, 9, 11, 17, 25, 26; In 17, do the computation two ways: via a path and with a function whose gradient yields the vector field.
    14.4   1, 6, 7, 9, 14, 16, 19;.
    14.5   3, 7, 9, 10, 17, 19, 20. 14.5 hw postponed until next week
    hwsols13.pdf   solutions
  Grading: 23 points, distributed as follows:
     14.3   1, 9 = 2 points, 17 = 4 points (2 points each for using a potential function and for actually computing the line integral), 25 = 2 points.
     14.4  6, 7, 9, 14, 16 = 2 points each; 19abc = 1 point each.


Due April 28
    14.5   3, 7, 9, 10, 17, 19, 20.
    14.6   1, 7, 15, 16, 19;.
    14.7   3, 7, 8, 9, 19;.
    hwsols14.pdf   solutions
  Grading: 26 points, distributed as follows:
     14.5   3, 7, 10, 20 = 2 points each.
     14.6   7, 15, 16 = 2 points each, 19adeg = 1 point each.
     14.7   3, 8, 9, 19 = 2 points each.