{"id":325,"date":"2017-12-21T12:09:03","date_gmt":"2017-12-21T20:09:03","guid":{"rendered":"https:\/\/blogs.ubc.ca\/organizingchaos\/?p=325"},"modified":"2017-12-21T18:35:20","modified_gmt":"2017-12-22T02:35:20","slug":"course-review-math-302","status":"publish","type":"post","link":"https:\/\/blogs.ubc.ca\/organizingchaos\/2017\/12\/21\/course-review-math-302\/","title":{"rendered":"Course Review: MATH 302"},"content":{"rendered":"

Introduction to Probability<\/b><\/span><\/p>\n

“Donald claims that he won the popular vote if you subtract the 3 million illegal voters. Assuming that 3 million people did vote illegally, compute the probability that Donald is correct.”<\/p><\/blockquote>\n

Text:\u00a0<\/strong>Introduction to Probability by\u00a0David F. Anderson, Timo Seppalainen, and Benedek Valko<\/p>\n

Prof:<\/strong>\u00a0 Dr. Martin Lohmann<\/p>\n

Dr. Lohmann’s lectures largely consisted of (usually) interesting examples. Some students found his accent and his handwriting a bit challenging to follow. This, combined with the fact that he defers posting of lecture notes, made the course harder than necessary for such students. I did not have any difficulty understanding what was being said, and the few times I found his handwriting became hard to read, he clarified immediately. Also, if you ask a stupid question, expect some deft sarcasm in response!<\/p>\n

Difficulty<\/strong><\/p>\n

While I find probability counter-intuitive, the assignments were all quite doable. Occasionally, harder questions marked with a star were provided. The first midterm was quite tricky, however, we were given a practice midterm beforehand that was conceptually quite similar to the actual exam. The second midterm and final were both significantly easier and we also were given similar practice material.<\/p>\n

\n

Key Concepts<\/strong><\/p>\n

Counting<\/p>\n

Sets<\/p>\n

Discrete vs Continuous Probability Distributions<\/p>\n

Mean, Variance and Covariance<\/p>\n

Joint Distribution<\/p>\n

Convergence in Probability\/Distribution<\/p>\n

Conditional Probability<\/p>\n

Moment-generating functions<\/p>\n

\u00a0Hard Concepts<\/strong><\/p>\n

Counting: I always make incorrect assumptions w\/regard to counting. I think the key to easier problems is to identify whether you are using replacement\/no replacement and order\/no order. For harder problems, it is often necessary to construct a bijection of sorts or use a symmetry argument.<\/p>\n

Conclusion<\/strong><\/p>\n

Good to get some practice with counting and probability. About as much theory as you would expect from such a class.<\/p>\n","protected":false},"excerpt":{"rendered":"

Introduction to Probability “Donald claims that he won the popular vote if you subtract the 3 million illegal voters. Assuming that 3 million people did vote illegally, compute the probability that Donald is correct.” Text:\u00a0Introduction to Probability by\u00a0David F. Anderson, Timo Seppalainen, and Benedek Valko Prof:\u00a0 Dr. Martin Lohmann Dr. Lohmann’s lectures largely consisted of […]<\/p>\n","protected":false},"author":28516,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[281864],"tags":[1171212,1171211,428057,1171104],"class_list":["post-325","post","type-post","status-publish","format-standard","hentry","category-course-reviews","tag-lohmann","tag-math-302","tag-probability","tag-ubc-math"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/posts\/325","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/users\/28516"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/comments?post=325"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/posts\/325\/revisions"}],"predecessor-version":[{"id":333,"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/posts\/325\/revisions\/333"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/media?parent=325"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/categories?post=325"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ubc.ca\/organizingchaos\/wp-json\/wp\/v2\/tags?post=325"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}