Masters vs PhD in mathematics

Comments · 296

• NI

  @nilo4642 · 3 years ago

  im a high school student who has no idea whats going on when I watch your videos but its still nice to watch someone talk about something they are passionate about

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• DA

  @DavidJao · 3 years ago

  I graduated from the Harvard PhD program, so I can fill in the blanks. Harvard specializes in algebraic geometry, differential geometry, and number theory. (As a corollary, algebraic geometry exists.) Schools in this tier typically don't have a terminal masters program. You can get a masters degree either by completing one along with your bachelors degree (kind of like 4+1, except that it doesn't take an extra year, you just need to be extra good, and you actually get the masters degree), or by dropping out of the PhD halfway. Classes like real analysis, abstract algebra, and measure theory are undergraduate classes at Harvard and similar schools. A typical PhD student would complete coursework and start research within the first year, often within the first term. On the other hand, the average time to PhD graduation is not 4 years, it's more like 5 years. Four years is considered fast, five is average, and six is slow but still within the normal range. My own advisor graduated (from Harvard!) with the PhD in two years, which is ridiculous, but that's not normal.

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• XN

  @xnqx3013 · 3 years ago

  TIME TO TALK ABOUT THE THESIS BABY!!!!!!!!!!!!!!!!!!!

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• NO

  @Noko-Notwane · 3 years ago

  Have no idea what real analysis is, heard it from this guy. Just a normal high school student enjoying these videos

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• AV

  @avatar098 · 3 years ago

  Looking for all the comments of foreigners saying “Americans are so behind, we studied this in 2nd grade/year/whatever”

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• CH

  @Charlie-br8wp · 3 years ago

  Surprised to see no topology class, given it’s important for analysis

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• NF

  @nfxby117 · 3 years ago

  I'm doing my pure maths + theoretical physics undergraduate degrees in Australia, but I am looking at doing a Master's or PhD overseas, so this was quite helpful. Thanks.

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• YO

  @younesberediafe · 3 years ago

  Well, I must say I&apos;m quite surprised. In France, the pure math curriculum appears to be more advanced. Measure theory and Lebesgue integration are taught as undergraduate courses, typically during the 2nd and 3rd years of study. Alongside these, there&apos;s an advanced probability course, an introductory functional analysis course in the 3rd year, and topics like general topology, along with the usual algebraic subjects, including an introduction to Galois theory.<br><br>In the 1st year of the Master&apos;s program, there are typically four categories of courses: analysis, algebra, geometry and topology, and applied math. Some of the specific courses include advanced functional analysis, commutative algebra/homology, Riemannian geometry, algebraic topology, and stochastic calculus.<br><br>Moving on to the 2nd year of the Master&apos;s program, students often have the opportunity to delve into niche topics that they select in consultation with an advisor to align with their academic interests. These niche courses might include subjects like K-theory and arithmetic geometry.<br><br>When it comes to pursuing a PhD in mathematics in France, there are generally no formal classes. Instead, students dive right into preparing their thesis from the outset, occasionally attending seminars relevant to their research topics. On average, the duration of a PhD in mathematics in France is around 3 years.<br><br>Greetings from France !

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• AL

  @alinedfong5480 · 3 years ago

  I believe numerical analysis is similar to what I took which is numerical methods which is basically approximations through iterations to get the answer. Surprisingly useful for Thermodynamics.

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• VI

  @VincentWang-p3q · 2 days ago

  The production quality is impressive.

• US

  @Usrbinry4n · 3 years ago

  I completed a masters degree called M. A. T. in math. It was for people who wanted to specialize in teaching math. Most of the math courses were harder versions of the undergraduate program. We would have harder problems or extra readings attached to the standard undergraduate course along with our education courses.

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• MO

  @mozturco4931 · 3 years ago

  I can&apos;t see topology, functional analysis, measure and Lebesgue integrals, abstract álgebra. As I know, &nbsp;these subjects are advanced mathematics, but in my country we have them in a four year bachelor program at universidade Eduardo Mondlane in Mozambique.

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