| 2018/10/27 12:47PM | On HW#8, I looked at 62, 77 from 4.1, and 20, 33 from 4.2. I saw a lot of people use arguments like "f' > 0 so f is always increasing" etc. which is a result from 4.3 (I realized this halfway through grading). That's fine, I guess, but the intent was for you to say "no critical points" for 4.1 #77 and to invoke MVT/Rolle's for 4.2 #20. The whole topic of section 4.2 was MVT after all... and lack of comfort with using MVT was evident from Quiz 7 results. |
| 2018/10/20 3:18PM | On HW#7, I looked at 22 from 3.5, 5, 52 from 3.6, and 26 from 3.7. These were mostly fine but some people didn't realize that, in fact, you knew g(0) = 0 for problem 22. |
| 2018/10/13 2:00PM | On HW#6, I looked at 33 from 3.1, 48 from 3.2, 44 from 3.3, and 44, 78 from 3.4. Without parentheses, a tower of exponents like 2^3^4^x means 2^(3^(4^x)). |
| 2018/09/30 11:36PM | On HW#5, I looked at 19 from 2.6, 8, 59, 60 from 2.7, and 30, 60 from 2.8. Many people overthought the xsin(1/x) and x^2 sin(1/x) problems; once you write out the definition of f'(0) you'll see it's a familiar limit problem. The domain of f' in #30 does not include 0. |
| 2018/09/16 2:46PM | On HW#3, I looked at 15 and 31 from 2.2, and 10, 45, 46 from 2.3. Many people wrote "inf - inf = 0" or something to that effect in problem 46. That is not a valid way of doing that problem---please don't write that kind of thing! Infinity is not a number that you can do arithmetic with. |
| 2018/09/10 7:48AM | On HW#2, I looked at 3 and 35 from 1.3, 17 and 20 from 1.4, and 13 and 26 from 1.5. |
| 2018/09/03 12:16PM | On HW#1, I looked at 36, 37, 58, 79 from 1.1 and 4, 11 from 1.2. I very quickly skimmed the rest for completion. For problem 79, a lot of people wrote that "even + odd = neither." To be completely accurate, this is true only if neither f nor g is the zero function. The justification that people provided for the parts of this problem wasn't always very convincing. If you wanted to have an airtight argument, you should just use the algebraic definitions of even and odd. For example, suppose f,g are even; then for all x we have (f+g)(-x) = f(-x) + g(-x) = f(x) + g(x) = (f+g)(x) so the sum f+g is also even. |
| 2018/08/31 4:17PM | Prof. Paulin has posted the second homework assignment. I'm going to stop linking these here. You know where to find them, and it seems like he posts them on Friday afternoons (a week before due date). |
| 2018/08/30 10:33AM | I have set up a Piazza for these two discussion sections. This link should work: https://piazza.com/class/jlg7bnakydr26g.
Alternatively, go to https://piazza.com/, click on "Students Get Started," search for "University of California, Berkeley," and then for the class "MATH 1A DIS 201, 203: Calculus (Discussion Sections)." I will also bring this up tomorrow (Friday) in discussion. |
| 2018/08/24 5:30PM | Prof. Paulin has posted the 1st homework assignment, due 8/31. |
| No older announcements! |