Math 55

Prerequisites: Math 55 maturity appropriate to a sophomore math class. Credit Option: Students will receive no credit for 55 after taking Computer Science

It is also a veritable legend among high schoolers and college students alike, renowned as — allegedly — the hardest undergraduate math class in the country. It has been mentioned in books and articles, has its own Wikipedia page, and has been the subject of countless social media posts and videos. Most recently, Harvard junior Mahad Khan created a TikTok video dedicated to Math 55 that has received over , views to date. Over the years, perception of Math 55 has become based less on the reality of the course itself and more on a cumulative collection of lore and somewhat sensationalist rumors. At the end of the day, however, Math 55 is a class like any other. Below, we take a stab at busting some of the more well known and persistent myths about the class. Or, at the very least, offering an extra layer of clarity.

Math 55

Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg. In the past, Harvard University's Department of Mathematics had described Math 55 as "probably the most difficult undergraduate math class in the country. Formerly, students would begin the year in Math 25 which was created in as a lower-level Math 55 and, after three weeks of point-set topology and special topics for instance, in , p -adic analysis was taught by Wilfried Schmid , students would take a quiz. As of , students may choose to enroll in either Math 25 or Math 55 but are advised to "shop" both courses and have five weeks to decide on one. Depending on the professor teaching the class, the diagnostic exam may still be given after three weeks to help students with their decision. In the past, problem sets were expected to take from 24 to 60 hours per week to complete, [4] although some claim that it is closer to 20 hours. In addition to visiting their professor during office hours, students are encouraged to work together on homework assignments. Students typically typeset their homework in LaTeX and essentially write their own textbook for this class, [3] which ends with a take-home final exam. In , Math 55 covered almost four years worth of department coursework in two semesters, and subsequently, it drew only the most diligent of undergraduates. Of the 75 students who enrolled in the offering, by course end, only 20 remained due to the advanced nature of the material and time-constraints under which students were given to work.

Week Optional topics: Cryptography Section 4. Some view enrolling in the class as math 55 of their mathematical gumption and competence. Archived from the original on August 8,

On a Wednesday morning on the fifth floor of the Science Center, 20 or so students mill about while Professor Joseph D. He draws arrows and circles and greek letters on the board. He discusses topologies and neighborhoods and endpoints. Thirty minutes in, Harris pauses drawing his diagrams, which by now take up the entire chalkboard, and turns to face the class. Welcome to Math 55, the undergraduate course surrounded by what is perhaps the most intrigue and infamy of any class at Harvard. Even outside of Harvard, Math 55 has garnered outsized attention.

It is also a veritable legend among high schoolers and college students alike, renowned as — allegedly — the hardest undergraduate math class in the country. It has been mentioned in books and articles, has its own Wikipedia page, and has been the subject of countless social media posts and videos. Most recently, Harvard junior Mahad Khan created a TikTok video dedicated to Math 55 that has received over , views to date. Over the years, perception of Math 55 has become based less on the reality of the course itself and more on a cumulative collection of lore and somewhat sensationalist rumors. At the end of the day, however, Math 55 is a class like any other. Below, we take a stab at busting some of the more well known and persistent myths about the class. Or, at the very least, offering an extra layer of clarity.

Math 55

May 13 Final Exam clarifications: There is a mistake in Question It should ask you to show that the probability is greater than 0. Question 12 b should refer to the edges being colored, as in the rest of the question, not the vertices. May 2 Posted some previous years' final exams and a Midterm 3 for practice. Apr 13 Fixed a mistake in 6. Apr 10 Midterm 2 grades have been released. Apr 6 Fixed a mistake in 6. There are no jokers.

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According to Auroux, some students shop Math 55 in the fall and switch to the less intense Math 25 for the remainder of the semester. Loomis and Sternberg's textbook Advanced Calculus , [14] an abstract treatment of calculus in the setting of normed vector spaces and on differentiable manifolds , was tailored to the authors' Math 55 syllabus and served for many years as an assigned text. He discusses topologies and neighborhoods and endpoints. Week Optional topics: Cryptography Section 4. From onwards, the scope of the course along with that of Math 25 was changed to more strictly cover the contents of four semester-long courses in two semesters: Math 25a linear algebra and real analysis and Math group theory and vector spaces in Math 55a; and Math 25b real analysis and Math complex analysis in Math 55b. It is also a veritable legend among high schoolers and college students alike, renowned as — allegedly — the hardest undergraduate math class in the country. The class is supposedly legendary among high school math prodigies, who hear terrifying stories about it in their computer camps and at the International Math Olympiad. The reality is much less shocking and a bit more complicated. The course condenses four years of math into two semesters, after all. Contents move to sidebar hide.

On a Wednesday morning on the fifth floor of the Science Center, 20 or so students mill about while Professor Joseph D. He draws arrows and circles and greek letters on the board.

In the past, problem sets were expected to take from 24 to 60 hours per week to complete, [4] although some claim that it is closer to 20 hours. June 2, Dean David N. All this means that Auroux sees student numbers vacillate up and down throughout the academic year. Myth 1: Math 55 is only for high school math geniuses Most articles or mentions of Math 55 refer to it as filled with math competition champions and genius-level wunderkinds. Demographics of students taking this course over the years have been used to study the causes of gender and race differences in STEM. Some view enrolling in the class as proof of their mathematical gumption and competence. Week 8: Discrete probability theory, conditional probability, independence, random variables Sections 7. Woodruff herself believes that will be the most likely path for her, and several faculty members in our own Department of Mathematics took Math 55 during their days as Harvard freshmen. Harvard Independent. When he arrived at Harvard earlier this year, Jonah C.