{"id":345,"date":"2017-02-26T13:55:43","date_gmt":"2017-02-26T13:55:43","guid":{"rendered":"http:\/\/adrianbell.me\/?p=345"},"modified":"2017-02-26T13:55:43","modified_gmt":"2017-02-26T13:55:43","slug":"real-analysis-feedback","status":"publish","type":"post","link":"http:\/\/adrianbell.me\/?p=345","title":{"rendered":"Real Analysis Feedback"},"content":{"rendered":"

As it turns out, that wasn't as bad as I thought it would be. Had some significant time constraints, and some of the concepts of continuity really threw me near the end but it wasn't a total nightmare.<\/p>\n

Must admit though, there are still some areas which I feel I still need to \"grok\". (Hmm... never much liked that word... but replacing it with \"understand intuitively\" doesn't quite sound right either, but you know what I mean.) Concepts of continuity is one such area that I'll have to spend some extra time on in the revision stage (or maybe even just before my final Analysis section).<\/p>\n

In summary, this was certainly the most challenging section yet. Having said that, I did manage to achieve a higher mark than I expected to get in my assignment. As usual, here are some areas in which I screwed up:<\/p>\n

It seems intuitive to say that\u00a0 \"0 + \infty + 0 = \infty\", but this specific rule regarding the sum of these limits was never listed in the set that I can use, so I can't use it, hence I was marked down. I've always enjoyed working with a limited toolset, so this should come naturally after a bit of revision. The main problem is getting that full understanding of the mechanics of each rule so it can become<\/em> intuitive. In fact, my answer for this particular question (as a consequence) was extremely drawn-out. The proper answer given by my tutor fits on less than half a page of A4. Hopefully more practise will let me see the quick, correct answer more quickly.<\/p>\n

I stated Bernoulli's Inequality incorrectly. Absolutely no excuse for that. \ud83d\ude41<\/p>\n

When working out limits of formulas, always state the dominant term before reducing, and always put curly brackets around a sequence (otherwise, it's just a formula).<\/p>\n

In some cases I was lazy and claimed that something like \"\frac{3}{n+2}\" was a basic null sequence. Although it is quite obviously basic, and quite obviously a null sequence (it converges to 0 as n increases), it's not actually<\/em> a basic null sequence. So even something as small as this, I need to deconstruct and prove.<\/p>\n

Lastly, and this does bear repeating... I need a lot more practise with questions about continuity...<\/p>\n

Next up, more group theory!<\/p>\n","protected":false},"excerpt":{"rendered":"

As it turns out, that wasn't as bad as I thought it would be. Had some significant time constraints, and some of the concepts of continuity really threw me near the end but it wasn't a total nightmare. Must admit though, there are still some areas which I feel I still need to \"grok\". (Hmm... … Continue reading Real Analysis Feedback<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[19],"class_list":["post-345","post","type-post","status-publish","format-standard","hentry","category-analysis","tag-analysis"],"_links":{"self":[{"href":"http:\/\/adrianbell.me\/index.php?rest_route=\/wp\/v2\/posts\/345","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/adrianbell.me\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/adrianbell.me\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/adrianbell.me\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/adrianbell.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=345"}],"version-history":[{"count":7,"href":"http:\/\/adrianbell.me\/index.php?rest_route=\/wp\/v2\/posts\/345\/revisions"}],"predecessor-version":[{"id":353,"href":"http:\/\/adrianbell.me\/index.php?rest_route=\/wp\/v2\/posts\/345\/revisions\/353"}],"wp:attachment":[{"href":"http:\/\/adrianbell.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/adrianbell.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=345"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/adrianbell.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}