University of Louisiana at Lafayette, Math 301, Spring 2011

  • 4/27/11 Hwk: 10.1: 2, 3, 4, 5, 12, 13, 15.
  • 4/26/11 Hwk: If you know what's in the blue box on pg. 515, these aren't hard! 10.2: 2, 4, 5, 9, 11, 15, 18, 23.
  • 4/25/11 Hwk: 9.5: 1, 2, 5, 6, 9, 41cd, study what's in the blue box on pg. 515.
  • 4/13/11: no hwk today; Exam Four is tomorrow.
  • 4/12/11 Hwk: For each problem, be sure to justify your answer. 9.3: 18, 20. 9.4: (use the comparison test and justify each answer; some examples tomorrow will help with these problems) 1, 2, 3, 9, 11, 12, 13.
  • 4/11/11: Some examples tomorrow will help with today's hwk. Also, the integral test is needed for much of today's hwk, and thus, to be able to apply this test, you need to be sure that you can compute the related improper integrals (you might want to review computing such improper integrals to be ready for the upcoming exam).
  • 4/11/11 Hwk: (the first part of class tomorrow will help with the following) 9.3: 4, 5, 11, for each of the following, be sure to justify: 13, 14, 15, 17, 25.
  • Note: as noted in class a few days ago, Exam Four is this coming Thursday.
  • 4/7/11 Hwk: 9.2: 19; 9.3: carefully study pg. 476 up to "Visualizing Series" (we discussed all this in class); 9.3: 1, 2, 3, 35 (Hint: ln(a/b) = ln(a) - ln(b)), 37. (For 35b and 37c, use the definition of what it means to say that a series converges.)
  • 4/6/11 Hwk: 9.2: 5, 13, 15, 16, 17, 18, 20, 21, 22, 23.
  • 4/5/11 Hwk: Exam Three was today.
  • 4/4/11 Hwk: 9.1: 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 40, 41, 43, 60 (use Thm. 9.1).
  • 3/31/11: no hwk today.
  • 3/30/11 Hwk: 8.5: 23, 26b, 27b, 28. 9.1: 1, 3, 9, 10, 11, 29, 30, 31.
  • Note: as noted in class a few days ago, Exam Three is this coming Tuesday.
  • 3/29/11 Hwk: 8.5: 13, 14, 16, 17, 19.
  • 3/28/11 Hwk: 8.5: 1, 2, 11, 12.
  • 3/24/11 Hwk: 8.4: 24, 25ac, 26, 27; pg. 456: 55.
  • 3/23/11 Hwk: 8.4: 8, 19, 20, 21, 22a, 23b.
  • 3/22/11 Hwk: 8.4: 10, 11, 12ab, 13, 15b.
  • 3/21/11 Hwk: 8.3: 25, 26, 28, 29, 39, 40, 43.
  • 3/17/11 Hwk: 8.3: 9ab, 13, 15, 23, 31a.
  • 3/16/11 Hwk: 8.3: 2, 3, 4, 14, 17, 18, 19, 20, 27a.
  • 3/15/11 Hwk: 8.2: 23, 28, 35, 42. 8.3: 6, 7, 8.
  • 3/14/11 Hwk: 8.2: 3, 5, 9, 11 (don't evaluate integral), 12 (don't evaluate integral), 14, 21, 22, 24, 40.
  • 3/10/11 Hwk: 8.1: 14, 19, 21, 27.
  • 3/2/11 Hwk: (not on tomorrow's exam) 8.1: 3, 5, 6, 11, 13.
  • 3/1/11: no hwk today.
  • 2/28/11 Hwk: 7.8: 22, 23, 32, and give complete justification (the book's directions don't require you to be complete; tomorrow's class starts with another example of these) for 3, 4, 7.
  • 2/24/11 Hwk: 7.8: 12, 17, 18 (Hint: theta squared + theta squared), 19, 21, 25.
  • 2/23/11 Hwk: 7.7: 14, 16, 17, 21, 27, 34.
  • 2/22/11 Hwk: 7.7: 5, 9, 10, 13, 23, 28, 38.
  • 2/21/11 Hwk: (a) 7.6: 5ac and draw pictures illustrating the relationship between the actual area found in (a) and the areas represented by the quantities in (c). (b) For some interesting fun (but not on the exam): (a) draw a curve that is the graph of a function y = f(x), such that the integral from a to b of f(x) is equal to S(6), and (b) given constants A, B, and C, verify that the identity in here is true. After doing (b), you will have finished (together with today's class) showing that Simpson's rule is indeed obtained by approximating the function via a parabola over each subinterval and finding the area underneath that parabola.
  • 2/18/11: Exam Two is on Thursday, March 3rd.
  • 2/17/11 Hwk: 7.5: 14, 15, 16, 17; 7.6: 2bc, estimate the integral of e to the -x^2 from x=1 to x=1.5 by computing SIMP(5) to five decimals of accuracy. If you're not yet comfortable computing SIMP(n), then estimate Si(.5) by computing SIMP(5) to five decimals of accuracy. Everyone: a good question-- for the situation in the preceding sentence, how do you estimate L(5)?
  • 2/16/11 Hwk: 7.5: 4, 11aiii, study the first sentence of 11b enough to conclude "cool!", 22b; estimate the value of ln(1.4) by estimating the area underneath a piece of the curve y = 1/x by computing M(6) -- what is the error in your estimate of ln(1.4) (be accurate to 4 decimals)?
  • 2/15/11 Hwk: 7.4: 27, 29, 31, 47, 48, 57.
  • 2/14/11 Hwk: 7.4 (for some of these, perhaps wait until we've finished today's last example on Tuesday): 18, 20 (you don't have to use their suggested substitution), 23, 46, 49, 56, 62.
  • 2/10/11 Hwk: 7.4: 5, 7, 12, 14, 17, 45; find the antiderivative of (2x^2+6x+9)/[(x^2+5)(x-3)^2(x-4)].
  • 2/9/11 Hwk: 7.4: (we'll do more examples tomorrow, so hakuna matata) 1, 15 (good to use "Jordan's way"), 16 (good to use the "Alex-Jordan technique"); ... note: in math, there are no royalties when people use your theorems or techniques, though one mathematician once insisted on them; 37, 40, 52 (neato!); derive formula V-27 in the table (neato! and easier than it looks).
  • 2/8/11: Today's hwk is below. Henceforth, we'll always go in reverse chronological order.
  • 2/7/11 Curve on Exam One: (this info was also sent as an e-mail to your UL account) I thought more about the difficulty level and length of the exam. There is a curve of +7 for your score: with the curve, your grade is gotten by adding 7 points to your score out of 68. This is a curve of +10.29%. Thus, if you got a 33/68, then your curved score is 40/68. (If you got over 68, you certainly keep those extra points.) I really believe that it truly is the case that, with 82.5% of your course grade still undetermined, everyone can get at least a B if you keep working at mastering the homework. Let's do it! That'll be cool! (Don't assume that there will be a curve on Exam 2.)
  • 2/7/11 Hwk: 7.3: 3, 7, 17, 25, 27.
  • 2/8/11 Hwk: 7.3 (since you've memorized table entry V-24, do the following without the table, except for 13): 9, 10, 13, 33, 34, 36, 37, 46; pg. 385 (with no table): 47, 48.
  • 1/31/11 Hwk: 7.2: 5, 6, 10.
  • 2/1/11: Exam 1 was today.
  • 2/2/11 Hwk: 7.2: 13, 15, 20, 27, 28, 33, 36. After these, 8 and 18 should go smoothly.
  • 2/3/11 Hwk: 7.2: 37, 51 (use formulas II-(8) and II-(9) from the inside back cover, instead of 49 and 50), 54; derive formula II-(9) from the inside back cover; 7.3: 1, 2, 18.
  • 1/24/11 Hwk: 6.4: 5, 12, 25, 29, 33, 44, and after these, 11, 16, and 30 aren't so bad.
  • 1/25/11 Hwk: 6.4: 35, 36, 45; 67 on page 326; 6.5: 3, 4, 6.
  • 1/26/11 Hwk: 7.1: 13, 16, 22, 23, 27, 28, 29, 31, 34, 36, 38, 40, 57, 59, 61, 69, 70, 73.
  • 1/27/11: no hwk today.
  • 1/18/11 Hwk: 6.2: 35, 36, 53, 57, 59, 61, 62, 63; (warning: exotic regions with easy-to-compute areas are straight ahead!) 64, 68, 69, 71, 79 (interesting!).
  • 1/19/11 Hwk: 6.3: 2, 7, 12, 17ac (--not funny!), 19, 24.
  • 1/19/11 Note: if you want to use WileyPLUS, the "Student Class Section URL" is http://edugen.wiley.com/edugen/class/cls208650/ . Also, the "Class Section Name and/or Number" is 301-07SP11dd. If this info is not enough for you to use WileyPLUS, please let me know.
  • 1/20/11 Note: There are interesting Wikipedia articles about Si(x) and signal processing here, here, and here.
  • 1/20/11 Hwk: 6.4: 6, 7, 10, 15b, 26abc, 38b, 44.
  • 1/22/11 Note: Exam One is on Tuesday, 2/1/11.
  • 1/12/11 Hwk: Section 6.1: do 5 for t = 3, 4, 5.
  • 1/13/11 Hwk: 6.2: 12, 14, 21, 23, 27, 40, 41, 43, 47, 50, 80abc. Also, page 325: 10, 23. You should be able to do each problem fairly quickly.