From gi1242+269 at cmu.edu Mon Jan 14 09:22:14 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 14 Jan 2019 09:22:14 -0500 Subject: [269] 21-269 Course info and website. Message-ID: <20190114142214.blbcyqvjpd2ziiu4@andrew.cmu.edu> Hi All, Just a short message saying that you're registered for 21-269, and I've signed you up for the class mailing list. I'm not going to use BlackBoard / Canvas. All info about the class can be found on the class webstie: http://www.math.cmu.edu/~gautam/sj/teaching/2018-19/269-vector-analysis/ (If you lose this link, just Google me and look for the link on my home page.) Important dates: Wed, Feb 22th: First midterm Wed, Apr 5th: Second midterm See you shortly. GI PS: If at some point you decide to drop this class, you can remove yourself from the mailing list by following instructions on the mailing list website. (There should be a link to this website at the bottom of this message. If not, there is a link to it from the class website). -- VI VI VI The editor of the beast. From gi1242+269 at cmu.edu Mon Jan 14 10:56:28 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 14 Jan 2019 10:56:28 -0500 Subject: [269] 21-269 Course info and website. In-Reply-To: <20190114142214.blbcyqvjpd2ziiu4@andrew.cmu.edu> References: <20190114142214.blbcyqvjpd2ziiu4@andrew.cmu.edu> Message-ID: <20190114155628.gcbbsdcdv5ru7gyh@andrew.cmu.edu> Hi All, CORRECTED MIDTERM DATES ARE: Wed, Feb 13th: First midterm Wed, Mar 27th: Second midterm Your recitations are tomorrow. John and Yuepeng will work out a d-dimensional limit, and prove a few basic results about limits in the recitation. In terms of a reference, for the first few weeks you might enjoy reading Abbott's book listed under the references in the website. A schedule of what I covered last time (and will likely cover this time) is also on the website. So it might help to read up on those corresponding topics from a reference as we are doing them. GI -- I heard Plexiglass coffins are making a comeback, but it remains to be seen. From gi1242+269 at cmu.edu Wed Jan 16 11:32:11 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 16 Jan 2019 11:32:11 -0500 Subject: [269] HW1 Message-ID: <20190116163211.nbqaa27s7i4heb7r@andrew.cmu.edu> Hi Guys, Homework 1 is online. For discussion related to it (or anything else class related), post here: https://capstone.math.cmu.edu/c/2018-269 Your TA's will also hold office hours, and will announce the times soon. GI -- Experience is what a comb gives you after you lose your hair. From jungjoos at andrew.cmu.edu Wed Jan 16 12:39:02 2019 From: jungjoos at andrew.cmu.edu (Jung Joo Suh) Date: Thu, 17 Jan 2019 02:39:02 +0900 Subject: [269] HW1 In-Reply-To: <20190116163211.nbqaa27s7i4heb7r@andrew.cmu.edu> References: <20190116163211.nbqaa27s7i4heb7r@andrew.cmu.edu> Message-ID: Hi, I think there is a typo in #4 part c. The second to last sentence says, "Must lim x ->a f(r(t))=l?" when it should be "Must lim t->0 f(r(t))=l?". Best, Jung Joo Suh On Thu, Jan 17, 2019 at 1:32 AM Gautam Iyer wrote: > Hi Guys, > > Homework 1 is online. For discussion related to it (or anything else > class related), post here: > > https://capstone.math.cmu.edu/c/2018-269 > > Your TA's will also hold office hours, and will announce the times soon. > > GI > > -- > Experience is what a comb gives you after you lose your hair. > _______________________________________________ > math-269 mailing list > math-269 at lists.andrew.cmu.edu > https://lists.andrew.cmu.edu/mailman/listinfo/math-269 > -------------- next part -------------- An HTML attachment was scrubbed... URL: From jungjoos at andrew.cmu.edu Wed Jan 16 12:41:15 2019 From: jungjoos at andrew.cmu.edu (Jung Joo Suh) Date: Thu, 17 Jan 2019 02:41:15 +0900 Subject: [269] HW1 In-Reply-To: References: <20190116163211.nbqaa27s7i4heb7r@andrew.cmu.edu> Message-ID: Actually, there's more typo. So, shouldn't r be a function from U to R^n, and not R? On Thu, Jan 17, 2019 at 2:39 AM Jung Joo Suh wrote: > Hi, > > I think there is a typo in #4 part c. The second to last sentence says, > "Must lim x ->a f(r(t))=l?" when it should be "Must lim t->0 f(r(t))=l?". > > Best, > Jung Joo Suh > > On Thu, Jan 17, 2019 at 1:32 AM Gautam Iyer wrote: > >> Hi Guys, >> >> Homework 1 is online. For discussion related to it (or anything else >> class related), post here: >> >> https://capstone.math.cmu.edu/c/2018-269 >> >> Your TA's will also hold office hours, and will announce the times soon. >> >> GI >> >> -- >> Experience is what a comb gives you after you lose your hair. >> _______________________________________________ >> math-269 mailing list >> math-269 at lists.andrew.cmu.edu >> https://lists.andrew.cmu.edu/mailman/listinfo/math-269 >> > -------------- next part -------------- An HTML attachment was scrubbed... URL: From gi1242+269 at cmu.edu Wed Jan 16 15:20:34 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 16 Jan 2019 15:20:34 -0500 Subject: [269] HW1 In-Reply-To: References: <20190116163211.nbqaa27s7i4heb7r@andrew.cmu.edu> Message-ID: <20190116202034.xgbmzca25it6qg6p@andrew.cmu.edu> Yes indeed, I fixed both typos online. Thanks for pointing them out. GI -- As a computer, I find your faith in technology amusing. From gi1242+269 at cmu.edu Fri Jan 18 11:01:49 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 18 Jan 2019 11:01:49 -0500 Subject: [269] Office hours Message-ID: <20190118160149.o2xwc47skbadrkvp@andrew.cmu.edu> Hi All, Your John and Yuepeng will hold office hours at: Monday 4:30--5:30 Tuesday 2:30--3:30 Tuesday 5:30--6:30 in WEAN 6215. This info will be on the website shortly. (I will hold office hours as usual on Monday next week as well, and feel free to use the discussion board for any questions you may have in the meantime.) Best, Gautam -- Dijon vu: The same mustard as before. From yudongl at andrew.cmu.edu Fri Jan 18 11:56:45 2019 From: yudongl at andrew.cmu.edu (yudongl) Date: Fri, 18 Jan 2019 11:56:45 -0500 Subject: [269] =?utf-8?b?562U5aSNOiAgMjEtMjY5IENvdXJzZSBpbmZvIGFuZCB3ZWJz?= =?utf-8?q?ite=2E?= In-Reply-To: <20190114142214.blbcyqvjpd2ziiu4@andrew.cmu.edu> References: <20190114142214.blbcyqvjpd2ziiu4@andrew.cmu.edu> Message-ID: <5c420547.1c69fb81.9854b.b994@mx.google.com> Dear Professor Iyer: I think there is a problem with the link to the Multivariable calculus book on the course Website. I try to access the link to the Oxford Library but it did not work. Best Yudong Liu ??? Windows 10 ????? ???: Gautam Iyer ????: 2019?1?14? 9:22 ???: math-269 at lists.andrew.cmu.edu ??: [269] 21-269 Course info and website. Hi All, Just a short message saying that you're registered for 21-269, and I've signed you up for the class mailing list. I'm not going to use BlackBoard / Canvas. All info about the class can be found on the class webstie: http://www.math.cmu.edu/~gautam/sj/teaching/2018-19/269-vector-analysis/ (If you lose this link, just Google me and look for the link on my home page.) Important dates: Wed, Feb 22th: First midterm Wed, Apr 5th: Second midterm See you shortly. GI PS: If at some point you decide to drop this class, you can remove yourself from the mailing list by following instructions on the mailing list website. (There should be a link to this website at the bottom of this message. If not, there is a link to it from the class website). -- VI VI VI The editor of the beast. _______________________________________________ math-269 mailing list math-269 at lists.andrew.cmu.edu https://lists.andrew.cmu.edu/mailman/listinfo/math-269 -------------- next part -------------- An HTML attachment was scrubbed... URL: From gi1242+269 at cmu.edu Fri Jan 18 12:38:00 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 18 Jan 2019 12:38:00 -0500 Subject: [269] ??????: 21-269 Course info and website. In-Reply-To: <5c420547.1c69fb81.9854b.b994@mx.google.com> References: <20190114142214.blbcyqvjpd2ziiu4@andrew.cmu.edu> <5c420547.1c69fb81.9854b.b994@mx.google.com> Message-ID: <20190118173800.tfalnmbqi4wn5omk@andrew.cmu.edu> Hi All, 1. I fixed the broken link to the Dancer / Niethammer book. (That will only help you towards the middle of the semester though). 2. Given how limited lecture time is, I am very selective about what I present in class. While it is possible to do the homework using only what I've said in class, it is not easy! Though it's fun to try :) If you would like more information use the references on the website. Last year, some students told me about the book by Abbot (listed online, about $40). The book is available legally and freely through our library. Here's the link: https://link.springer.com/book/10.1007/978-1-4939-2712-8 In the first two (possibly 2.5) weeks I will cover the essentials of chapters 1, 2, 3 AND 4 in a "nonlinear" order! I recommend reading through the sections of this book that correspond to what I did in class. 3. A schedule of topics I will cover is on the class website. You may correlate that with pretty much any good analysis / calculus book you like, and use that for a reference if you prefer. GI -- Top Ten New Intel Slogans For The Pentium: 0.9999999998 The Errata Inside From gi1242+269 at cmu.edu Mon Jan 21 16:00:07 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 21 Jan 2019 16:00:07 -0500 Subject: [269] Mock Quiz in Recitation Tomorrow Message-ID: <20190121210006.tlm3a4tipbarukw2@andrew.cmu.edu> Hi All, In order for you to get a feeling for what's to come, I will ask both your TA's to run a "mock quiz" at the beginning of recitation tomorrow. They will state a problem about sequences at the start of recitation, and give you 10 minutes to solve it. THEY WILL NOT COLLECT YOUR RESPONSE, AND YOUR PERFORMANCE WILL NOT AFFECT YOUR GRADE. So no pressure ;-). It is only designed to give you early feedback about your performance in this course. They will discuss it shortly after. Best, Gautam -- 'Teamwork' -- The possibilty of putting the blame on others. From gi1242+269 at cmu.edu Wed Jan 23 14:29:02 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 23 Jan 2019 14:29:02 -0500 Subject: [269] HW 2, and submission of HW Message-ID: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> Hi All, HW 2 is online. A few notes regarding submission of homework: 1. Please review the late homework policy; I will adhere to it strictly. (In particular, I won't accept homework that is turned in after class starts; however, to accommodate unusual circumstances, I will drop the lowest 20% of your homework assignments from your grade.) 2. Some of you emailed me your homework yesterday. If you anticipate missing class / etc., then you may certainly email me your homework. However, I receive a lot of email, and it would help me if you used the following format: a. Make the subject of your email "269 HW X Submission" b. Use my class email address: gi1242+269 at cmu.edu c. Make sure your name, and Andrew ID is on the homework. d. PDF submissions only. 3. Your graders will scan perfect/nearly perfect student solutions (with names removed), and I will post them on the class website when available. This, however, will be a few days (usually one week). If you're curious about the solution to a problem before that, I suggest the following: Many of you have electronic copies of your homework already. I have created a shared BOX folder, which I will send you a link to separately. If you are interested in sharing your homeowrk solutions (or any class notes you may have) with your classmates, feel free to upload it there. Best, Gautam -- Marathon runners with bad footwear suffer the agony of defeat. From gi1242+269 at cmu.edu Wed Jan 23 18:10:30 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 23 Jan 2019 18:10:30 -0500 Subject: [269] HW 2, and submission of HW In-Reply-To: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> References: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> Message-ID: <20190123231030.ae4qwfzmhrc6fjpm@andrew.cmu.edu> Hi Guys, For homework 1 I have electronic submissions from: Ethan Liu yudongl Albert Lu Jonathan Stepp Evan Fang Steven Lu Nathaniel Watson If you submitted your homework electronically and aren't on this list let me know. (No need to resend the file; just let me know and I'll find it in my email.) For future electronic submissions, please follow the email syntax correctly. For reference here it is again: a. Make the subject of your email "269 HW X Submission" b. Use my class email address: gi1242+269 at cmu.edu c. Make sure your name, and Andrew ID is on the homework. d. PDF submissions only. I will filter emails based on this and will print solutions from all that match my filter (and arrived before class started). If your email doesn't match my filter, it might be missed and it may be problematic getting it graded consistently later. Best, Gautam -- Why did one banana spy on the other? Because she was appealing. From ywu5 at andrew.cmu.edu Wed Jan 23 18:29:03 2019 From: ywu5 at andrew.cmu.edu (Yue Wu) Date: Wed, 23 Jan 2019 18:29:03 -0500 Subject: [269] HW 2, and submission of HW References: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> <20190123231030.ae4qwfzmhrc6fjpm@andrew.cmu.edu> Message-ID: <7kxti616fegw-m5nv5l1i89aurdc9xal8plz3-m1uz02jg28hjm9in5j-z5bv1o-4ts8qe3pety2-kw9xk6be7kfuauzrbw5pxrwfmo95ckhfsg-o7demw3elkne-unmbxxxhdj5z-7xl6pv30ylht.1548286143370@email.android.com> An HTML attachment was scrubbed... URL: From ztlee at andrew.cmu.edu Wed Jan 23 19:23:13 2019 From: ztlee at andrew.cmu.edu (Zack Lee) Date: Wed, 23 Jan 2019 19:23:13 -0500 Subject: [269] HW 2, and submission of HW In-Reply-To: <20190123231030.ae4qwfzmhrc6fjpm@andrew.cmu.edu> References: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> <20190123231030.ae4qwfzmhrc6fjpm@andrew.cmu.edu> Message-ID: Dear Professor Iyer, I also sent an electronic submission for my HW for 269. Thanks, Zack Lee On Wed, Jan 23, 2019 at 18:10 Gautam Iyer wrote: > Hi Guys, > > For homework 1 I have electronic submissions from: > > Ethan Liu > yudongl > Albert Lu > Jonathan Stepp > Evan Fang > Steven Lu > Nathaniel Watson > > If you submitted your homework electronically and aren't on this list > let me know. (No need to resend the file; just let me know and I'll find > it in my email.) > > For future electronic submissions, please follow the email syntax > correctly. For reference here it is again: > > a. Make the subject of your email "269 HW X Submission" > > b. Use my class email address: gi1242+269 at cmu.edu > > c. Make sure your name, and Andrew ID is on the homework. > > d. PDF submissions only. > > I will filter emails based on this and will print solutions from all > that match my filter (and arrived before class started). If your email > doesn't match my filter, it might be missed and it may be problematic > getting it graded consistently later. > > Best, > > Gautam > > -- > Why did one banana spy on the other? Because she was appealing. > _______________________________________________ > math-269 mailing list > math-269 at lists.andrew.cmu.edu > https://lists.andrew.cmu.edu/mailman/listinfo/math-269 > -------------- next part -------------- An HTML attachment was scrubbed... URL: From gi1242+269 at cmu.edu Wed Jan 23 22:19:43 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 23 Jan 2019 22:19:43 -0500 Subject: [269] HW 2 In-Reply-To: References: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> <20190123231030.ae4qwfzmhrc6fjpm@andrew.cmu.edu> Message-ID: <20190124031942.cqmgiarhka64tn3y@andrew.cmu.edu> On Thu, Jan 24, 2019 at 03:00:36AM +0000, xxx wrote: > On a minor note, it appears that HW2 is due on February 8th 2017 - I > don't think we can hand it up on time! Lol, my bad. I fixed it. Due at the beginning of class one week from today as usual. Best, Gautam -- 'Alcoholic' -- One who, when is confronted with a small problem, turns to a bigger one. From gi1242+269 at cmu.edu Thu Jan 24 23:47:26 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Thu, 24 Jan 2019 23:47:26 -0500 Subject: [269] Class tomorrow Message-ID: <20190125044725.ju5buaifuuz7pewa@andrew.cmu.edu> Hi Guys, Please check your email before class tomorrow. I have the cold/flu. I'm pretty sure I should still be able to make it to class. But just in case I can't I will send you an email, and make up the class later. I will almost certainly go home before my office hours though. So if you have questions, I suggest asking me after class, provided you have a good immune system or stock in Lysol. GI -- 'Dopeler Effect' -- The tendency of stupid ideas to seem smarter when they come at you rapidly. From gi1242+269 at cmu.edu Mon Jan 28 23:10:25 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 28 Jan 2019 23:10:25 -0500 Subject: [269] Homework submission In-Reply-To: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> References: <20190123192902.z7y4odfa7k2bc6lb@andrew.cmu.edu> Message-ID: <20190129041025.vcg2obvj5f3gkfwa@andrew.cmu.edu> Hi All, One more request regarding homework submission: Can you please put your name, Andrew ID, and section on the homework? This will make it easier to return, as you will usually get your homework back during the recitation. Best, Gautam -- "Very funny Scotty, now beam down my clothes." -- Captian James T. Kirk From gi1242+269 at cmu.edu Tue Jan 29 23:19:52 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Tue, 29 Jan 2019 23:19:52 -0500 Subject: [269] Classes Cancelled, Campus Remains Open (fwd) Message-ID: <20190130041952.vwa56yumw5crshad@andrew.cmu.edu> Hi All, Looks like class is cancelled tomorrow due to the cold. Accordingly, you may turn in your homework in class Friday 2/1 instead of tomorrow. Your next homework will be assigned tomorrow, and due the following Wednesday as usual. So that we don't get too far behind, I will record a screencast of some of the material I planned to cover tomorrow, as you will require it for the homework. Best, Gautam ----- Forwarded message from CMU Alert ----- Date: Wed, 30 Jan 2019 04:03:46 +0000 From: CMU Alert To: undisclosed-recipients Subject: Classes Cancelled, Campus Remains Open Due to our continued monitoring of the severe cold temperatures and predicted wind chill conditions, Carnegie Mellon University has cancelled all classes for Wednesday, January 30, including evening classes. The Pittsburgh campus remains open with normal campus operations. However, individual faculty and staff members should monitor the weather and contact their supervisor or department head if they believe the weather conditions preclude their safely commuting to campus. We will continue to monitor the weather and will determine a plan for Thursday by 3pm on Wednesday. ----- End forwarded message ----- -- 'Kleptomaniac' -- One who can't help himself from helping himself. From gi1242+269 at cmu.edu Wed Jan 30 12:22:13 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 30 Jan 2019 12:22:13 -0500 Subject: [269] Video lecture at 12:30PM today Message-ID: <20190130172213.l7l6zatsmnqp5kqp@andrew.cmu.edu> Hi All, I'm going to record a video of the material I would have covered in class today. Unfortunately I seem to be scheduled out both today and tomorrow, and the only time I have to record it is at 12:30pm today. Sorry for the short notice. If you are interested in watching it live, then download / install Zoom, and join the meeting with ID 4122688419 (You can also do this from your browser.) Please keep your mike muted if you are not asking a question (clicking / turning pages causes lots of feedback). If you can't join live, the video will be posted on the class website shortly, along with a PDF of everything I write. Best, Gautam -- TEN SURE SIGNS THE RECESSION HAS HIT REALLY HARD 2. CEO's are now playing miniature golf. From gi1242+269 at cmu.edu Wed Jan 30 18:46:44 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 30 Jan 2019 18:46:44 -0500 Subject: [269] Video lecture at 12:30PM today In-Reply-To: <20190130172213.l7l6zatsmnqp5kqp@andrew.cmu.edu> References: <20190130172213.l7l6zatsmnqp5kqp@andrew.cmu.edu> Message-ID: <20190130234644.yt3vwhkiw4yxyof5@andrew.cmu.edu> Hi Guys, The video from the lecture today is on the class website (look under Screencasts on the navigation column). There was a technical snag in the middle where the screen went blank... I edited this out. So if you notice a jump in the middle, that's why ;). Your next homework will be online shortly, and see you in class Friday. Best, Gautam -- What's the difference between a hippo and a zippo? One is really heavy, and the other is a little lighter. From gi1242+269 at cmu.edu Wed Jan 30 23:27:12 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 30 Jan 2019 23:27:12 -0500 Subject: [269] HW3 Message-ID: <20190131042712.b4hpzhnesibsqtnn@andrew.cmu.edu> Hi Guys, HW3 is online. I should start (one variable) differentiation on Friday, and the second half of the homework is mainly facts on one variable calculus. It is to remind you of a few basic properties of derivatives that we will use often later. Best, Gautam -- 'Camel' -- A horse designed by a committee. From gi1242+269 at cmu.edu Fri Feb 1 12:29:56 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 1 Feb 2019 12:29:56 -0500 Subject: [269] HW2 Message-ID: <20190201172956.hyk6g3vkyqqqwpff@andrew.cmu.edu> Hi Guys, I got HW 2 electronically (and on time) from Ethan Lu Soumil Mukherje Shreyan Jaiswal Evan Fang Wassim Omais Jie Jiao Yue Wu Eugene Lee Zack Lee Nathaniel Watso Anthony Ramirez Andrew Rausch If you submitted electronically (and on time), and your name isn't on the list above, send me an email. (NO need to resend the homework; I'll find it in my inbox -- but please use the format I requested in my previous message, otherwise your homework may be missed in future.) Best, Gautam PS: I search my email for all homework sent to gi1242+269 at cmu.edu whose subject matches (case insensitively) 269 hw 2 submission So when submitting, please keep this in mind so its easy for me to find your homework. -- Little Johnny was a scientist. Little Johnny is no more. For what he thought was H2O was H2SO4. From jungjoos at andrew.cmu.edu Fri Feb 1 12:44:09 2019 From: jungjoos at andrew.cmu.edu (Jung Joo Suh) Date: Sat, 2 Feb 2019 02:44:09 +0900 Subject: [269] HW2 In-Reply-To: <20190201172956.hyk6g3vkyqqqwpff@andrew.cmu.edu> References: <20190201172956.hyk6g3vkyqqqwpff@andrew.cmu.edu> Message-ID: When are you available to meet for hw grading? On Sat, Feb 2, 2019 at 2:30 AM Gautam Iyer wrote: > Hi Guys, > > I got HW 2 electronically (and on time) from > > Ethan Lu > Soumil Mukherje > Shreyan Jaiswal > Evan Fang > Wassim Omais > Jie Jiao > Yue Wu > Eugene Lee > Zack Lee > Nathaniel Watso > Anthony Ramirez > Andrew Rausch > > If you submitted electronically (and on time), and your name isn't on > the list above, send me an email. (NO need to resend the homework; I'll > find it in my inbox -- but please use the format I requested in my > previous message, otherwise your homework may be missed in future.) > > Best, > > Gautam > > PS: I search my email for all homework sent to gi1242+269 at cmu.edu whose > subject matches (case insensitively) > > 269 hw 2 submission > > So when submitting, please keep this in mind so its easy for me to > find your homework. > > -- > Little Johnny was a scientist. Little Johnny is no more. For what he > thought was H2O was H2SO4. > _______________________________________________ > math-269 mailing list > math-269 at lists.andrew.cmu.edu > https://lists.andrew.cmu.edu/mailman/listinfo/math-269 > -------------- next part -------------- An HTML attachment was scrubbed... URL: From gi1242+269 at cmu.edu Fri Feb 1 14:11:25 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 1 Feb 2019 14:11:25 -0500 Subject: [269] HW1 solutions Message-ID: <20190201191124.65gagreeebanfclu@andrew.cmu.edu> Hi Guys, HW1 solutions are online. The homework will be returned to you on Monday in class. (Alternately pick it up from me during my office hours). Going forward your homework will usually be returned to you during the recitation. (Though next week, we might be a bit late on account of the delay this week.) As I mentioned earlier, we offer several levels of calculus, and this is by far the hardest and most challenging! It is a lot more work (and a lot faster) than 268. If you're still considering your options regarding courses, I thought I would let you know that a score of 10 or lower on homework 1 is some cause for concern, especially since homework 1 is by far the easiest assignment you will get in 269 this semester! Best, Gautam PS: Also, some "unofficial" advice -- If you think you can pull off a B or better in this course (and you enjoy this sort of material), then try your best to stay in 269. It will not be easy, but you'll learn a lot (and enjoy it). If you think you might be heading for a C or lower (or you don't enjoy the material), then speak to me and/or your advisor and consider switching to 268. -- This is my step ladder. I never knew my real ladder. From sslu1 at andrew.cmu.edu Fri Feb 1 23:37:09 2019 From: sslu1 at andrew.cmu.edu (Steven Lu) Date: Fri, 1 Feb 2019 23:37:09 -0500 Subject: [269] HW2 In-Reply-To: <20190201172956.hyk6g3vkyqqqwpff@andrew.cmu.edu> References: <20190201172956.hyk6g3vkyqqqwpff@andrew.cmu.edu> Message-ID: Hi Dr Iyer I believe I sent my homework electronically as well. Could you check again? Thanks, Steven On Fri, Feb 1, 2019, 12:30 PM Gautam Iyer Hi Guys, > > I got HW 2 electronically (and on time) from > > Ethan Lu > Soumil Mukherje > Shreyan Jaiswal > Evan Fang > Wassim Omais > Jie Jiao > Yue Wu > Eugene Lee > Zack Lee > Nathaniel Watso > Anthony Ramirez > Andrew Rausch > > If you submitted electronically (and on time), and your name isn't on > the list above, send me an email. (NO need to resend the homework; I'll > find it in my inbox -- but please use the format I requested in my > previous message, otherwise your homework may be missed in future.) > > Best, > > Gautam > > PS: I search my email for all homework sent to gi1242+269 at cmu.edu whose > subject matches (case insensitively) > > 269 hw 2 submission > > So when submitting, please keep this in mind so its easy for me to > find your homework. > > -- > Little Johnny was a scientist. Little Johnny is no more. For what he > thought was H2O was H2SO4. > _______________________________________________ > math-269 mailing list > math-269 at lists.andrew.cmu.edu > https://lists.andrew.cmu.edu/mailman/listinfo/math-269 > -------------- next part -------------- An HTML attachment was scrubbed... URL: From gi1242+269 at cmu.edu Sun Feb 3 23:50:31 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Sun, 3 Feb 2019 23:50:31 -0500 Subject: [269] Splendid reference Message-ID: <20190204045031.sskq2pcbtpi36n7s@andrew.cmu.edu> Hi All, If you are still looking for a book to read, then I strongly recommend: Introduction to Multivariable Mathematics by Leon Simon. This is available cheaply (about $35), and also available online. It covers almost everything we will cover at the level of this course. Best, Gautam -- You need the computing power of a P5, 16 MB RAM and 1 GB Harddisk to run Win95. It took the computing power of 3 Commodore 64 to fly to the Moon. Something is wrong here, and it wasn't the Apollo. From gi1242+269 at cmu.edu Sun Feb 3 23:57:15 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Sun, 3 Feb 2019 23:57:15 -0500 Subject: [269] 269 HW 3 Submission Message-ID: <20190204045714.vvmxkpcdw6wdswyj@andrew.cmu.edu> Please reply to this message to submit HW 3 electronically. Attach your homework as a PDF, and it will certainly pass my email filter. (Be sure you don't Reply All, which will broadcast your homework to the whole class.) A few requests: 1. Please put your name, Andrew ID, and section on the homework. 2. If possible, please choose a file name that is unique to you (e.g. name it "269-hw3-MyAndrewID.pdf"). Many of you name it "269 HW3.pdf", and it is a minor inconvenience when I print. (Those who have already submitted the homework, no need to send it again unless you need changes made.) Best, Gautam -- I've been told I'm condescending. (That means I talk down to people.) From gi1242+269 at cmu.edu Mon Feb 4 14:02:19 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 4 Feb 2019 14:02:19 -0500 Subject: [269] Change in Office Hours Message-ID: <20190204190219.3ktduyhumyqkqdgr@andrew.cmu.edu> Hi All, The TA room was a bit crowded on Tuesdays at 2:30. Accordingly, Yuepeng has moved his office hours. Office hours will now be: Mon 10:30--12:00, (me) Mon 4:30--5:30 (John/Yuepeng in WEH 6215) Tue 5:30--7:30 (John/Yuepeng in WEH 6215) Fri 1:30--2:30 (me) This info is now updated on the website. GI -- Actually officer, if you factor in the earth's rotation, we were all speeding. From gi1242+269 at cmu.edu Wed Feb 6 09:22:05 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 6 Feb 2019 09:22:05 -0500 Subject: [269] Midterm Message-ID: <20190206142205.5wzywim37pge5dru@andrew.cmu.edu> Hi All, Your midterm will be on Wed 2019-02-13 in class. It will be closed book, and no computers / calculators / etc. can be used. It will cover everything done in class from day one until whatever I finish today (multivariable differentiation). It will NOT include the multivariable chain rule, which I will likely cover on Friday. In light of your midterm there will be no homework this week. Instead I put up an optional homework with "one or two" problems on it. Most of these are good practice for your exam so I recommend looking them over. Some of them will be assigned as part of your regular homework next week. I will also put up 269 midterms from previous years. (Note I did things a little differently before, so you might want to look at both midterm 1 and midterm 2 to account for the different times / syllabi). You can expect at least one homework question (with possibly an evil twist) to be on your exam. The best preparation for an exam in a course like this is a consistent and regular work. I recommend reviewing the material early, and trying a variety of problems of different levels. Most people understand this material best if you've had time to digest it, and practice doing problems on your own. I will extend my office hours this Friday from 1:30 to 3:30 (instead of 1:30 to 2:30 as in regular weeks). During the recitation next week, your TA's will do a review. GI -- Little Johnny was a scientist. Little Johnny is no more. For what he thought was H2O was H2SO4. From gi1242+269 at cmu.edu Wed Feb 6 17:58:50 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 6 Feb 2019 17:58:50 -0500 Subject: [269] Midterm In-Reply-To: <20190206142205.5wzywim37pge5dru@andrew.cmu.edu> References: <20190206142205.5wzywim37pge5dru@andrew.cmu.edu> Message-ID: <20190206225850.24i4xnnfjmmmdr5e@andrew.cmu.edu> On Wed, Feb 06, 2019 at 09:22:05AM -0500, Gautam Iyer wrote: > I will also put up 269 midterms from previous years. (Note I did > things a little differently before, so you might want to look at both > midterm 1 and midterm 2 to account for the different times / syllabi). Hi Guys, These are up now. Additionally: 1. Please fill in the details of the last theorem from class today. If you have trouble, look it up. (It's Theorem 2.6 in my 268 notes for example, but is certainly spelt out in more detail in any one of the references on the website.) 2. Some of you who typset your homework (or have a good quality scan of it). If you don't mind, put your HW2 and HW3 in the class Box folder. There's no requirement that these solutions are / need to be correct -- but if someone was stuck on/couldn't do a particular problem, they might get a hint from looking at others solutions. (Once the homework is graded, I will put the perfect / nearly perfect solutions online of course.) Best, Gautam -- 'Selfishness' -- Not being considerate of other people's selfishness. From gi1242+269 at cmu.edu Fri Feb 8 09:21:54 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 8 Feb 2019 09:21:54 -0500 Subject: [269] HW2 Message-ID: <20190208142154.r46sk5ffdzcnywq3@andrew.cmu.edu> Hi Guys, Solutions to half of HW3 are online. On homework 2, the median score was 9 out of 10. If you got 8 or lower it is likely cause for concern. Best, Gautam -- Well, I've got to get back to work now. When I stop rowing, the slave ship just goes in circles... From gi1242+269 at cmu.edu Fri Feb 8 11:11:31 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 8 Feb 2019 11:11:31 -0500 Subject: [269] HW2 In-Reply-To: <20190208142154.r46sk5ffdzcnywq3@andrew.cmu.edu> References: <20190208142154.r46sk5ffdzcnywq3@andrew.cmu.edu> Message-ID: <20190208161131.lsblmsu65k3nozrm@andrew.cmu.edu> Hi Guys, For those who didn't get homework 2 in class today, it's in my office. Come get it during office hours. > On homework 2, the median score was 9 out of 10. If you got 8 or lower > it is likely cause for concern. Also, to give you an idea of your relative standing: Only 7 (out of 40+) students who turned in homework 2 got a score of 8 or lower on this homework. Best, Gautam -- 2 * 3 * 3 * 37 : The prime factorization of The Beast From gi1242+269 at cmu.edu Mon Feb 11 13:59:51 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 11 Feb 2019 13:59:51 -0500 Subject: [269] 269 HW 5 Submission Message-ID: <20190211185951.z56dt4fdkuyrste2@andrew.cmu.edu> Hi Guys, Homework 5 is online and due Wednesday 2/20 (9 days from now). It is a subset of Homework 4 (which is never due). Please reply to this message to submit HW 5 electronically. Attach your homework as a PDF, and it will certainly pass my email filter. (Be sure you don't Reply All, which will broadcast your homework to the whole class.) A few requests: 1. Please put your name, Andrew ID, and section on the homework. 2. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. (Those who have already submitted the homework, no need to send it again unless you need changes made.) Best, Gautam -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Tue Feb 12 09:37:52 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Tue, 12 Feb 2019 09:37:52 -0500 Subject: [269] HW 3 solutions and Midterm tomorrow. In-Reply-To: <20190206142205.5wzywim37pge5dru@andrew.cmu.edu> References: <20190206142205.5wzywim37pge5dru@andrew.cmu.edu> Message-ID: <20190212143752.2pjt43ehtdmwv33h@andrew.cmu.edu> Hi Guys, HW3 solutions are now online (the problems are not in order, so scroll through all the way to find the solution of the problem you want). It will be returned to you during your section. (Some of you didn't have your section information on the homework. In that case there is a 50% chance that your homework will go to the wrong section.) Friendly reminder: Midterm tomorrow in class. (The syllabus etc is on the previous message I sent you, included below for convenience. The last thing I covered that will be on your midterm is the fact that functions with continuous partial derivatives are differentiable. In particular, material covered last Friday and this Monday will NOT be on your midterm.) Best, Gautam On Wed, Feb 06, 2019 at 09:22:05AM -0500, Gautam Iyer wrote: > > Hi All, > > Your midterm will be on Wed 2019-02-13 in class. It will be closed book, > and no computers / calculators / etc. can be used. It will cover > everything done in class from day one until whatever I finish today > (multivariable differentiation). It will NOT include the multivariable > chain rule, which I will likely cover on Friday. > > In light of your midterm there will be no homework this week. Instead I > put up an optional homework with "one or two" problems on it. Most of > these are good practice for your exam so I recommend looking them over. > Some of them will be assigned as part of your regular homework next > week. > > I will also put up 269 midterms from previous years. (Note I did things > a little differently before, so you might want to look at both midterm 1 > and midterm 2 to account for the different times / syllabi). > > You can expect at least one homework question (with possibly an evil > twist) to be on your exam. > > The best preparation for an exam in a course like this is a consistent > and regular work. I recommend reviewing the material early, and trying a > variety of problems of different levels. Most people understand this > material best if you've had time to digest it, and practice doing > problems on your own. > > I will extend my office hours this Friday from 1:30 to 3:30 (instead of > 1:30 to 2:30 as in regular weeks). During the recitation next week, your > TA's will do a review. > > GI > > -- > Little Johnny was a scientist. Little Johnny is no more. For what he > thought was H2O was H2SO4. -- Three things are certain: Death, taxes, and lost data. Guess which has occurred? From gi1242+269 at cmu.edu Wed Feb 13 11:15:59 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 13 Feb 2019 11:15:59 -0500 Subject: [269] Midterm Message-ID: <20190213161559.vijinakye7i2gns7@andrew.cmu.edu> Hi GUys, Your midterm and solutions are online. I will grade it and give you feedback on your performance by Friday (hopefully), but latest Monday. Best, Gautam -- Two snowmen are standing in a field. One says to the other : "Funny, I smell carrots too". From gi1242+269 at cmu.edu Thu Feb 14 21:52:47 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Thu, 14 Feb 2019 21:52:47 -0500 Subject: [269] Midterm grades Message-ID: <20190215025247.2q5h6r5653ola56x@andrew.cmu.edu> Hi All, Your midterm has been graded and will be returned to you in class tomorrow. You can check your score online now (click the 'Your Grades' link on the website). I hacked this together on short notice, so it might not work well. If it does something unexpected please let me know. In terms of letter grades: 1. An "A" roughly corresponds to a score of late 20's out of 40. This usually indicates you were able to solve 3 out of the four questions (modulo minor-ish errors). 2. A "B" roughly corresponds to a score in the late teens, out of 40. This usually indicates you were able to solve 2 out of the four questions (modulo minor-ish errors). 3. A "C" roughly corresponds to a score in the early teens (typically meaning you solved one question, and got some partial credit from others.) One very common mistake I found on the midterm was with the last question. Many people computed the partials at $x \neq 0$ and checked that the limit of the partials as x \to 0 does not exist. Unfortunately this says nothing about differentiablity of the function! A differentiable need not have continuous partials! Best, Gautam -- The energizer bunny went to jail. He was charged with battery. From gi1242+269 at cmu.edu Wed Feb 20 21:31:36 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 20 Feb 2019 21:31:36 -0500 Subject: [269] 269 HW 6 Submission Message-ID: <20190221023136.r3rxn7wi53fz3gsq@andrew.cmu.edu> Hi Guys, Homework 6 is online and due Wednesday 2/27 as usual. Please reply to this message to submit HW 5 electronically, and follow the instructions below. (Some info has changed, so please read and follow these directions.) A large number of you (about 16) submit your homework by email. I send them to our department photocopier which prints and staples them automatically. However, there are a few things that completely break the photocopier. 1. Reply to this message and attach your homework as a PDF file if you want to submit it electronically. 2. Put your name, Andrew ID, and section on the homework. 3. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. 4. (**IMPORTANT**) USE LETTER PAPER ON YOUR HOMEWORK. (Specifically Soumil, Minsung, Nicholas P, Alice, and Jonathan Jenkins, please double check your settings.) Here's info on setting your default paper size: https://tex.stackexchange.com/questions/409542/changing-default-paper-size-for-tex-live https://tex.stackexchange.com/questions/39646/using-letter-paper-with-pdflatex Why am I making such a fuss about letter paper? Turns out if you print a non-letter paper sized PDF file to the department copier it looks for an input tray that has that size paper. If it doesn't find one, it prints an unfriendly "load paper" error message, and blocks **ALL OTHER PRINT JOBS**. Anyone who sees this message subsequently loads (letter sized) paper into the already full trays; and then finding the message hasn't gone away they ask the department staff. The staff have been extensively trained to reboot first, ask questions later. This wipes the print queue of *everyone*... So \documentclass[letterpaper]{article} please. Best, Gautam -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Fri Feb 22 11:08:58 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 22 Feb 2019 11:08:58 -0500 Subject: [269] Office hours today and class next week Message-ID: <20190222160858.bh4gtcsd2wqoirdk@andrew.cmu.edu> Hi All, 1. Office hours today are from 2:15 to 3:15 instead. 2. I am due at the National Science Foundation next week. So there will be no class on Monday and Wednesday next week. I will not have office hours on Monday either (but your TA office hours are unchanged). 3. To make up for the two missing lectures, I will record a screencast and upload my notes instead. If it's at a convenient time when I have a stable internet connection I'll announce it by email and you can join live if you are able. Ideally the first lecture will be at 4:30pm today; but there is a small chance of another conflict so I can't confirm just yet. I'm hoping to do the second lecture on Monday / Tuesday night, but this will depend on how stable the hotel WiFi is. If it's bad I will do it Thursday morning when I return. Best, Gautam -- Sausage puns are the wurst. From gi1242+269 at cmu.edu Fri Feb 22 15:33:33 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 22 Feb 2019 15:33:33 -0500 Subject: [269] Online lecture today Message-ID: <20190222203333.pyvgax65ym7cvfl6@andrew.cmu.edu> Hi All, To make up for the missed class on Monday 2/25, I will have an online lecture today at 4:30PM. Like last time, I will lecture on Zoom. If you are interested in watching it live, then download / install Zoom, and join the meeting with ID 4122688419 (You can also do this from your browser.) Please keep your mike muted if you are not asking a question (clicking / turning pages causes lots of feedback). If you can't join live, the video will be posted on the class website shortly, along with a PDF of everything I write. Best, Gautam PS: If you join live please feel free to ask questions. I can not see the chat window easily. But just say something and interrupt me at any point. -- 'School' -- Place where people learn how to copy textbooks, for that common situation in later life when the photocopier breaks and you really need part of a book you aren't allowed to borrow. From gi1242+269 at cmu.edu Fri Feb 22 22:17:04 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 22 Feb 2019 22:17:04 -0500 Subject: [269] Part 2 of the Online lecture tomorrow Message-ID: <20190223031704.mjizze3dndrimw5q@andrew.cmu.edu> Hi All, 1. The video of today's lecture (along with a PDF of the screen writing) is online now. 2. I will do part 2 at 2:30pm tomorrow (Saturday 2/23). Hopefully it is late enough in the day that you will be awake, and early enough that it won't interfere with your evening. If you are interested in watching it live, then download / install Zoom, and join the meeting with ID 4122688419 (You can also do this from your browser.) Please keep your mike muted if you are not asking a question (clicking / turning pages causes lots of feedback). If you can't join live, the video will be posted on the class website shortly, along with a PDF of everything I write. Best, Gautam -- Application has reported a 'Not My Fault' in module KRNL.EXE in line 0200:103F From gi1242+269 at cmu.edu Sat Feb 23 20:48:31 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Sat, 23 Feb 2019 20:48:31 -0500 Subject: [269] Part 2 of the Online lecture tomorrow In-Reply-To: <20190223031704.mjizze3dndrimw5q@andrew.cmu.edu> References: <20190223031704.mjizze3dndrimw5q@andrew.cmu.edu> Message-ID: <20190224014831.mj4a2kfuluey7icu@andrew.cmu.edu> Hi Guys, The video and notes are online now. Reminder: No class Monday 2/25 and 2/27. (Video lectures were recorded instead.) I will email you on Monday night regarding submission of homework on Wednesday. Best, Gautam -- TWELVE REASONS WHY GOD NEVER RECEIVED TENURE 5. He never applied to the Ethics Board for permission to use human subjects. From gi1242+269 at cmu.edu Tue Feb 26 09:13:09 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Tue, 26 Feb 2019 09:13:09 -0500 Subject: [269] Turning in the homework due tomorrow Message-ID: <20190226141309.dwmxqdo3i6z42n2i@andrew.cmu.edu> Hi All, Just a reminder -- there is no class tomorrow. Watch the recorded lectures instead. (Your recitation will go on as scheduled.) To turn in homework your homework, put it in my mailbox in Wean #6113. I have asked the secretory to clean out my mailbox so there should be nothing else in there, other than your homework. Also note that for some bizarre reason the mailboxes names are *above* the mailbox and not below. (There are arrows next to my name pointing to the mailbox.) Please be sure to put it in the right mailbox. I have asked your TAs to collect the homework at 9:30AM. If you make it to my mailbox before the TAs do, then your homework will be considered on time and receive full credit ;). Best, Gautam -- TEN REASONS WHY HELL IS BETTER THAN GRAD SCHOOL: 1. You would never tell a friend to go to Grad school! From gi1242+269 at cmu.edu Wed Feb 27 23:48:07 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 27 Feb 2019 23:48:07 -0500 Subject: [269] 269 HW 7 Submission Message-ID: <20190228044807.azd7pduficfj6boi@andrew.cmu.edu> Hi Guys, Homework 7 is online and due Wednesday 3/6 as usual. Please reply to this message to submit HW 6 electronically, and follow the instructions below. 1. Reply to this message and attach your homework as a PDF file if you want to submit it electronically. Be sure to use "letter" as the PDF paper size. 2. Put your name, Andrew ID, and section on the homework. 3. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Wed Mar 6 18:55:51 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 6 Mar 2019 18:55:51 -0500 Subject: [269] 269 HW 8 Submission Message-ID: <20190306235551.jy45niyjtiv44xok@andrew.cmu.edu> Hi Guys, Homework 8 is online and due Wednesday 3/20 after Spring break. Please reply to this message to submit HW 8 electronically, and follow the instructions below. 1. Reply to this message and attach your homework as a PDF file if you want to submit it electronically. Be sure to use "letter" as the PDF paper size. 2. Put your name, Andrew ID, and section on the homework. 3. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam PS: Your scores on HW6 are online. Solutions will be online shortly as well. -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Wed Mar 6 19:24:15 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 6 Mar 2019 19:24:15 -0500 Subject: [269] 269 HW 8 Submission In-Reply-To: <20190306235551.jy45niyjtiv44xok@andrew.cmu.edu> References: <20190306235551.jy45niyjtiv44xok@andrew.cmu.edu> Message-ID: <20190307002415.nwpxefhpdptrcvem@andrew.cmu.edu> Btw -- if you are pressed for time questions 1 and 2 are less important than the rest. No class Friday, or all of next week. Have a nice break. GI -- 'Common' Proof Techniques: 26. Proof by appeal to intuition -- Cloud-shaped drawings frequently help here. From gi1242+269 at cmu.edu Thu Mar 14 11:17:37 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Thu, 14 Mar 2019 11:17:37 -0400 Subject: [269] Mid semester grades Message-ID: <20190314151737.uw26v2uxayf6g2pc@andrew.cmu.edu> Hi All, Apologies. I assumed the mid-semester grade deadline was March 13th. Turns out it was March 11th, and I am unable to enter mid-semester grades into the system anymore. Instead, I assigned mid-semester grades using 80% Midterm 1 20% Homeworks, with lowest homework dropped. You can view your mid-semester grades on the class website. Direct link here: https://www.math.cmu.edu/~gautam/sj/teaching/2018-19/269-vector-analysis/auth/grades.html Happy Pi Day ;-) Best, Gautam -- 'Common' Proof Techniques: 4. Proof by example -- The author gives only the case n = 2 and suggests that it contains most of the ideas of the general proof. From gi1242+269 at cmu.edu Wed Mar 20 23:10:46 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 20 Mar 2019 23:10:46 -0400 Subject: [269] Midterm 2 Message-ID: <20190321031046.qg7b2uzueheojfu7@andrew.cmu.edu> Hi All, Your midterm will be on Wed 2019-03-27 in class. It will be closed book, and no computers / calculators / etc. can be used. It will cover everything done in class after and including the multivariable chain rule up to whatever I can cover about tangent spaces of manifolds on Friday this week. In light of your midterm there will be no homework this week. Instead I put up an optional homework with a few problems on it. Most of these are good practice for your exam so I recommend looking them over. Some of them will be assigned as part of your regular homework next week. I also put up 269 midterm 2 from previous years. (Note I did things a little differently before. In particular, I used a different, but equivalent, definition of manifolds. Thus the solution to the last question on last years midterm is a bit different from how I would do it based on the definitions I used this year.) You can expect at least one homework question (with possibly an evil twist) to be on your exam. The best preparation for an exam in a course like this is a consistent and regular work. I recommend reviewing the material early, and trying a variety of problems of different levels. Most people understand this material best if you've had time to digest it, and practice doing problems on your own. I will also announce some extra office hours on Monday next week shortly. GI PS: Solutions to HW7 are online. -- Little Johnny was a scientist. Little Johnny is no more. For what he thought was H2O was H2SO4. From gi1242+269 at cmu.edu Fri Mar 22 11:27:02 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 22 Mar 2019 11:27:02 -0400 Subject: [269] extended office hours today Message-ID: <20190322152701.lcx6wf4awruunmij@andrew.cmu.edu> Hi All, In light of your midterm next week, I'll have office hours from 1:30 to 3:30 today (instead of the usual 1:30 to 2:30). Best, Gautam -- Knowledge: Knowing that a tomato is a fruit and not a vegetable. Wisdom: Realizing a tomato has no place in a fruit salad. From gi1242+269 at cmu.edu Mon Mar 25 14:23:39 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 25 Mar 2019 14:23:39 -0400 Subject: [269] 269 recitation Message-ID: <20190325182339.v5puvdm52pqjfq4x@andrew.cmu.edu> Hi John / Yuepeng, For the recitation tomorrow, please do a review for the midterm (Wednesday). The midterm covers everything I did from the chain rule (including the chain rule) up to what I finished Friday (tangent spaces of surfaces). Roughly this includes: Chain rule Higher order differentiation / Taylor's theorem Maxima / minima Inverse / implicit function theorems. Manifolds Tangent spaces Do examples / problems / theorems on this material as you see fit. Last time one of you picked an example that appeared as question 1 on the exam -- just so that everyone knows this was co-incidence, I'm copying the whole class on this email :) Best, Gautam -- What's the difference between a hippo and a zippo? One is really heavy, and the other is a little lighter. From gi1242+269 at cmu.edu Mon Mar 25 15:59:16 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 25 Mar 2019 15:59:16 -0400 Subject: [269] HW9 Q8 mistake Message-ID: <20190325195916.jr4sldqaezgb52su@andrew.cmu.edu> Hi All, There was a mistake in HW9, Q8 which is fixed now. To summarise: 1. Two manifolds M and N intersect transversely at a if the span of TM_a and TN_a is all of \R^d. 2. The previous version of the homework said M and N intersect transversely at a if every tangent vector in TM_a is orthogonal to every tangent vector in TN_a. (A better name for this is intersect orthogonally; the standard definition of transverse intersection is the above.) (It's also worth doing Q8 and finding conditions for orthogonal intersections of manifolds as well.) Best, Gautam -- TEN REASONS WHY HELL IS BETTER THAN GRAD SCHOOL: 7. You can't fail out of Hell. From gi1242+269 at cmu.edu Tue Mar 26 17:00:16 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Tue, 26 Mar 2019 17:00:16 -0400 Subject: [269] HW8 solutions Message-ID: <20190326210016.nl7yapvppwtxui7s@andrew.cmu.edu> Solutions to the remaining problems in 268 are also online now. Best, Gautam -- 'Committee' -- The unwilling, picked from the unfit, to do the unnecessary. From gi1242+269 at cmu.edu Wed Mar 27 15:18:00 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 27 Mar 2019 15:18:00 -0400 Subject: [269] 269 HW 10 Submission Message-ID: <20190327191800.lo3ecugaha3wmwet@andrew.cmu.edu> Hi Guys, Homework 10 is online and due Wednesday 2019-04-03. Also: On homework 8, someone wrote "firesteel55" instead of their name. Please let me or your graders know if you want credit for homework 8. If you want to submit your homework electronically, please do the following: 1. Reply to this message and attach your homework as a PDF file. 2. Put your name, Andrew ID, and section on the homework. 3. Use "letter" as the PDF paper size, otherwise parts of your homework might be cropped (and ungraded) after printing. 4. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam PS: Your midterm and solutions are online. -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Thu Mar 28 23:33:37 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Thu, 28 Mar 2019 23:33:37 -0400 Subject: [269] Midterm grades Message-ID: <20190329033337.vhlz35ekbiwise6j@andrew.cmu.edu> Hi All, Your midterm has been graded and will be returned to you in class tomorrow. You can check your score online now (click the 'Your Grades' link on the website). In terms of letter grades, it is on the same scale as your first midterm. Explicitly: 1. The bottom end of an "A" roughly corresponds to a score of late 20's out of 40. This usually indicates you were able to solve 3 out of the four questions (modulo minor-ish errors). 2. The bottom end of a "B" roughly corresponds to a score in the late teens, out of 40. This usually indicates you were able to solve 2 out of the four questions (modulo minor-ish errors). 3. The bottom end of a "C" roughly corresponds to a score in the early teens (typically meaning you solved one question, and got some partial credit from others.) Best, Gautam -- The energizer bunny went to jail. He was charged with battery. From gi1242+269 at cmu.edu Wed Apr 3 10:57:32 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 3 Apr 2019 10:57:32 -0400 Subject: [269] 269 HW 11 Submission Message-ID: <20190403145732.3pvxxep7au7cj4z2@andrew.cmu.edu> Hi All, Homework 11 is online and due Wednesday 2019-04-10. If you want to submit your homework electronically, please do the following: 1. Reply to this message and attach your homework as a PDF file. 2. Put your name, Andrew ID, and section on the homework. 3. Use "letter" as the PDF paper size, otherwise parts of your homework might be cropped (and ungraded) after printing. 4. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam PS: Your midterm and solutions are online. -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Fri Apr 5 15:21:24 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 5 Apr 2019 15:21:24 -0400 Subject: [269] Lagrange multipliers Message-ID: <20190405192123.e2raehl47cv6svgu@andrew.cmu.edu> Hi All, The last time I taught this course, I gave them a different (more algebraic) proof of Lagrange multipliers. I updated the proof I wrote then to include the more geometric proof I gave you in class. (The notation uses the notation I used last time -- i.e. maximize h on {f = C}, instead of maximixing f on {g = c} which I used this time.) I put both these proofs online. Best, Gautam -- A computer is like an Old Testament god, with a lot of rules and no mercy. From gi1242+269 at cmu.edu Wed Apr 10 18:15:35 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 10 Apr 2019 18:15:35 -0400 Subject: [269] 269 HW 12 Submission Message-ID: <20190410221535.os7wnbcftr273qjg@andrew.cmu.edu> Hi All, Your next homework is online and due Wednesday 2019-04-17. In light of Spring carnival, it is short (3 questions only). If you want to submit your homework electronically, please do the following: 1. Reply to this message and attach your homework as a PDF file. 2. Put your name, Andrew ID, and section on the homework. 3. Use "letter" as the PDF paper size, otherwise parts of your homework might be cropped (and ungraded) after printing. 4. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam PS: Last weeks homework solutions, and grades are online. -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Mon Apr 15 22:23:00 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 15 Apr 2019 22:23:00 -0400 Subject: [269] Online lecture today Message-ID: <20190416022300.lo5qy74nbbdviryh@andrew.cmu.edu> Hi All, I will be travelling on Wednesday 4/17, and there will be no class Wednesday 4/17. To make up for the missed class I will have an online lecture tomorrow (Tuesday 4/16) at 10:00AM covering Greens theorem. (I will almost certainly not be able to finish the proof, and will finish it on Friday.) Like last time, I will lecture on Zoom. If you are interested in watching it live, then download / install Zoom, and join the meeting with ID 4122688419 (You can also do this from your browser.) Please keep your mike muted if you are not asking a question (clicking / turning pages causes lots of feedback). If you can't join live, the video will be posted on the class website shortly, along with a PDF of everything I write. Best, Gautam PS: If you join live please feel free to ask questions. I can not see the chat window easily. But just say something and interrupt me at any point. PPS: I talked to Yudong after class and he was right. A much shorter way to prove that \tilde \gamma^{-1} \circ \gamma is C^1 is to realize that locally this is the same as the composition of the dth coordinates of each of these functions, and then use the one variable inverse function theorem. -- 'School' -- Place where people learn how to copy textbooks, for that common situation in later life when the photocopier breaks and you really need part of a book you aren't allowed to borrow. From gi1242+269 at cmu.edu Mon Apr 15 22:27:38 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 15 Apr 2019 22:27:38 -0400 Subject: [269] Online lecture **TOMORROW** In-Reply-To: <20190416022300.lo5qy74nbbdviryh@andrew.cmu.edu> References: <20190416022300.lo5qy74nbbdviryh@andrew.cmu.edu> Message-ID: <20190416022738.eirak426y2b6y4en@andrew.cmu.edu> Sorry. Resending it with correct subject. Also to turn in your homework on Wednesday 4/17, please put it in my mailbox in Wean #6113 before 9:30AM. I have asked your graders to pick up the homework at 9:30AAM on Wednesday. Best, Gautam On Mon, Apr 15, 2019 at 10:23:00PM -0400, Gautam Iyer wrote: > > Hi All, > > I will be travelling on Wednesday 4/17, and there will be no class > Wednesday 4/17. To make up for the missed class I will have an online > lecture tomorrow (Tuesday 4/16) at 10:00AM covering Greens theorem. (I > will almost certainly not be able to finish the proof, and will finish > it on Friday.) > > Like last time, I will lecture on Zoom. If you are interested in > watching it live, then download / install Zoom, and join the meeting > with ID > > 4122688419 > > (You can also do this from your browser.) Please keep your mike muted if > you are not asking a question (clicking / turning pages causes lots of > feedback). > > If you can't join live, the video will be posted on the class website > shortly, along with a PDF of everything I write. > > Best, > > Gautam > > PS: If you join live please feel free to ask questions. I can not see > the chat window easily. But just say something and interrupt me at > any point. > > PPS: I talked to Yudong after class and he was right. A much shorter way > to prove that \tilde \gamma^{-1} \circ \gamma is C^1 is to realize > that locally this is the same as the composition of the dth > coordinates of each of these functions, and then use the one > variable inverse function theorem. > > -- > 'School' -- Place where people learn how to copy textbooks, for that > common situation in later life when the photocopier breaks and you > really need part of a book you aren't allowed to borrow. > _______________________________________________ > math-269 mailing list > math-269 at lists.andrew.cmu.edu > https://lists.andrew.cmu.edu/mailman/listinfo/math-269 -- 'Banker' -- Someone who lends you his umbrella when the sun is shining and takes it back when it starts to rain. From gi1242+269 at cmu.edu Tue Apr 16 11:31:31 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Tue, 16 Apr 2019 11:31:31 -0400 Subject: [269] Greens theorem Message-ID: <20190416153131.2wr2bint2atrwyee@andrew.cmu.edu> Hi All, The video and PDF from today's lecture on greens theorem is now online. Best, Gautam -- 'Normal' -- A line perpendicular to reality. From gautam at math.cmu.edu Tue Apr 16 23:37:56 2019 From: gautam at math.cmu.edu (Gautam Iyer) Date: Tue, 16 Apr 2019 23:37:56 -0400 Subject: [269] video lecture today In-Reply-To: References: Message-ID: <20190417033755.hxdj44ojc5mzqyjj@andrew.cmu.edu> On Tue, Apr 16, 2019 at 08:15:50PM -0400, Hongyi Zhou wrote: > I think the video for the 269 lecture today is not on the website > currently. Could you check that? Apologies -- due to a syncing error (because of crappy airport WiFi) the video was removed for a few hours today. I've put it back now. Best, Gautam -- TWELVE REASONS WHY GOD NEVER RECEIVED TENURE 1. He had only one major publication. In Hebrew. With no references. And it wasn't published in a refereed journal. Some even doubt he wrote it himself. From gi1242+269 at cmu.edu Wed Apr 17 08:17:39 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 17 Apr 2019 08:17:39 -0400 Subject: [269] 269 HW 13 Submission Message-ID: <20190417121739.vsbiqslpg3n6sbmp@andrew.cmu.edu> Hi All, Your next homework is online and due Wednesday 2019-04-25. Also please remember there is no class today 2019-04-17. To turn in HW12 please put it in my mailbox before 9:30AM, or reply to the HW12 (not this) homework submission email. If you want to submit your homework electronically, please do the following: 1. Reply to this message and attach your homework as a PDF file. 2. Put your name, Andrew ID, and section on the homework. 3. Use "letter" as the PDF paper size, otherwise parts of your homework might be cropped (and ungraded) after printing. 4. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam PS: Last weeks homework solutions and grades will be online once I get them. -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Wed Apr 24 17:32:12 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 24 Apr 2019 17:32:12 -0400 Subject: [269] 269 HW 14 Submission Message-ID: <20190424213212.o3hhq3lckhotxmcq@andrew.cmu.edu> Hi All, Your next homework is online and due Wednesday 2019-05-01. This will be the last required homework! Last weeks homework solutions and grades will are online. If you want to submit your homework electronically, please do the following: 1. Reply to this message and attach your homework as a PDF file. 2. Put your name, Andrew ID, and section on the homework. 3. Use "letter" as the PDF paper size, otherwise parts of your homework might be cropped (and ungraded) after printing. 4. If possible, please choose a file name that is unique to you (e.g. name it "269-hwX-MyAndrewID.pdf"). Many of you name it "269 HWX.pdf", and it is a minor inconvenience when I print. Best, Gautam -- Do you know sign language? You should learn it, it's pretty handy. From gi1242+269 at cmu.edu Wed May 1 14:03:39 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 1 May 2019 14:03:39 -0400 Subject: [269] Adjoint, and IOU's from today Message-ID: <20190501180339.fhbb5vrzrbnx72x2@andrew.cmu.edu> Hi All, Looks like they have now officially changed the name to "classical adjoint" or adjunct / adjugate: https://en.wikipedia.org/wiki/Adjugate_matrix Regardless, the two missing calculations from today should take me about 20 minutes to do. Instead of burning half the class on it on Friday, I will do them today at 3:30 pm on Zoom, and remind you about what the "adjugate" is. (There's a slick way to do the calculations without getting too dirty.) If you want to watch it live, download and install Zoom, and join the meeting with ID: 4122688419 (You can also do this from your browser.) Please keep your mike muted if you are not asking a question (clicking / turning pages causes lots of feedback). If you can't join live, the video will be posted on the class website shortly, along with a PDF of everything I write. Best, Gautam PS: Practice questions and an email about your final coming up shortly. -- 'Depression' -- Anger without enthusiasm. From gi1242+269 at cmu.edu Wed May 1 16:28:01 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 1 May 2019 16:28:01 -0400 Subject: [269] Adjoint, and IOU's from today In-Reply-To: <20190501180339.fhbb5vrzrbnx72x2@andrew.cmu.edu> References: <20190501180339.fhbb5vrzrbnx72x2@andrew.cmu.edu> Message-ID: <20190501202801.3twgbgvmz2iqc6sy@andrew.cmu.edu> Hi ALl, Video and PDF are online now. (Final email + questions will come tonight around 9:00pm) GI -- My dad has suggested that I register for a donor card. He's a man after my own heart. From gi1242+269 at cmu.edu Wed May 1 23:25:57 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Wed, 1 May 2019 23:25:57 -0400 Subject: [269] Final Message-ID: <20190502032557.oqrnbv3haayldnlx@andrew.cmu.edu> Hi All, Just a quick friendly reminder about what your final will be like. ~~Don't~~ panic :). 1. Your final is Tuesday May 7th, from 1:00PM to 4:00 PM in SH 125. 2. It will be comprehensive, and cover everything up to and including the Stokes and Divergence theorems. I recommend reviewing all the material early and carefully. As mentioned in class earlier, the format of the will be as follows: 1. There will be 4 or 5 questions that are roughly the length and difficulty of the midterm. 2. There will be about 3 questions that are a bit longer. At least one will be a longish proof you have seen before (e.g. prove Lagrange multipliers, implicit function theorem, Bolazno Weierstrauss , and or one of the longish homework problems). At least one will be a longish (but easier) proof that you haven't seen before. One might even be a longish conceptual computation (e.g. show parametrization invariance of surface integrals / curvature, or derive a formula for surface integrals under coordinate changes. 3. You have 3 hours. Your exam will likely have 8 questions or at most 9 questions. Ideally for the "longish" questions, you will have about 30 to 40 minutes per question. I have put up last years final and solutions. For practice, I also put up many problems covering material from the whole semester as your last homework assignment. (This is not due -- it is for practice only). I will hold two office hours before the final: Friday 1:30 to 3:30 Monday 9:30 to 12:00 (Just in case my office hours get too crowded for all of us to fit, we will go to a different room and in that case I will leave a note on my door saying where we are.) Best, Gautam PS: Solutions to HW13 are online. -- The truth is out there? Does anyone know the URL? From gi1242+269 at cmu.edu Fri May 3 12:22:41 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 3 May 2019 12:22:41 -0400 Subject: [269] Evaluations (plus office hours / final reminder) Message-ID: <20190503162241.3szx7fh4nitjyutf@andrew.cmu.edu> Hi All, Hopefully you enjoyed this semester as much as me :). Now that the class is over, please take a minute to fill out evaluations. 1. TA Evaluations: You should have received a personalized link from survey monkey. Please fill this out as it gives us valuable feedback about your TA's. 2. Faculty/Course Evaluations (FCEs): Thanks to everyone who filled out the evaluations already! I value your feedback. For those who haven't, please fill them out here: https://cmu.smartevals.com/ (It only takes a few minutes, and can be done from your phones.) As incentive: If 80% of you fill out FCE's today (2019-05-03), then I will release your final scores and overall grades as soon as they are available (most likely May 10th). If not, I will only release your grades at the very end of the grading period which is 4:00PM May 21st! Currently the response rate is 47%. This means about 10 more of you need to fill out FCEs today to get this deal :). Other than that -- remember I have office hours 1:30--3:30 today and again from 9:30 to noon on Monday. Your final is on Tuesday 1:00--4:00pm. (Solutions to the first half of HW14 are online already, and hopefully solutions to the second half will also be online shortly.) Best, Gautam -- Once you've seen one shopping center, you've seen a mall. From gi1242+269 at cmu.edu Fri May 3 22:28:51 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Fri, 3 May 2019 22:28:51 -0400 Subject: [269] HW grades Message-ID: <20190504022851.f3na7wrbfzprqasx@andrew.cmu.edu> Hi All, A quick reminder to double check your homework scores online are accurate. Please let me know if there are any errors. (I will drop THREE homework scores from your grade.) Best, Gautam PS: FCE response rate is now 75%. Thank you all for filling out FCEs, I value your feedback. Following the deal I offered in class, if 3 more students respond today, I will release your grades as soon as they are available (likely Friday). If not, I will release your grades at the very end of the grading period (May 21st). -- 'Common' Proof Techniques: 25. Proof by semantic shift -- Some of the standard but inconvenient definitions are changed for the statement of the result. From gi1242+269 at cmu.edu Tue May 7 11:10:18 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Tue, 7 May 2019 11:10:18 -0400 Subject: [269] Final reminder Message-ID: <20190507151018.tng7jv3xovdjgtgd@andrew.cmu.edu> Hi ALl, Just a quick reminder that your final is at 1:00pm today in SH 125. Best, Gautam PS: Grades for HW14 and solutions should be online. Good luck! -- An infinite number of mathematicians walk into a bar. Each of them orders a beer. The bar tender pours two beers for the whole lot and says "C'mon guys, know your limits." From gi1242+269 at cmu.edu Sat May 11 22:23:54 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Sat, 11 May 2019 22:23:54 -0400 Subject: [269] Final grades Message-ID: <20190512022354.42ht3idgz3t3t3gf@andrew.cmu.edu> Hi All, Your final is graded and your grades are online (on the class website). They will be entered on the official website as soon as I figure out how to navigate the registrars fancy grade upload page. (I.e. in a few weeks). In terms of your performance on the final: The bottom end of an A was about 70, bottom end of a B was about 55, and the bottom end of a C was about 45. Other than that, hope you had a good semester and have a nice break! Best, Gautam -- A cabbage and celery walk into a bar and the cabbage gets served first because he was a head. From gi1242+269 at cmu.edu Mon May 13 13:49:32 2019 From: gi1242+269 at cmu.edu (Gautam Iyer) Date: Mon, 13 May 2019 13:49:32 -0400 Subject: [269] Final grades In-Reply-To: <20190512022354.42ht3idgz3t3t3gf@andrew.cmu.edu> References: <20190512022354.42ht3idgz3t3t3gf@andrew.cmu.edu> Message-ID: <20190513174932.plya4xmgfcmsfia2@andrew.cmu.edu> Hi All, Sorry for the short notice. I'll be in my office the rest of the afternoon if you want to come get your finals. (I have meetings most of the time, but knock and I should be able to find yours for you.) I'm leaving early tomorrow morning. So if you can't make it today and want your final let me know and I'll find a way to return it to you. Best, Gautam -- TEN SURE SIGNS THE RECESSION HAS HIT REALLY HARD 6. Angelina Jolie adopted a child from America.