How to get into Honors Analysis at UChicago?

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Discussion Overview

The discussion revolves around the preparation and requirements for entering the Honors Analysis sequence at the University of Chicago, focusing on recommended study materials, placement exams, and alternative options for challenging mathematics courses. The scope includes theoretical preparation, self-study strategies, and insights into the difficulty of the course.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests using Spivak's Calculus and Velleman's How to Prove It for self-study to prepare for the Honors Analysis sequence.
  • Another participant questions whether the discussion pertains to upper division honors analysis or honors calculus, noting the typical prerequisites for each.
  • A participant emphasizes the difficulty of the Honors Analysis sequence at UChicago and the importance of preparing for the placement test, which focuses on calculus II content.
  • There is a request for copies of previous placement tests to gauge the level of content covered.
  • A link to a placement test topic list is shared, indicating it aligns with typical BC calculus material.
  • Some participants advise focusing on acceptance to UChicago first before worrying about the placement exam, suggesting that a strong grasp of calculus is sufficient for preparation.
  • One participant reassures that the computational and proof-based parts of the placement exam are manageable with adequate preparation.
  • There is a discussion about the possibility of taking honors calculus in the freshman year and entering the honors analysis track later.
  • Another participant mentions the importance of studying Spivak's Calculus regardless of acceptance to UChicago, as it is beneficial for any honors math sequence.
  • Suggestions for other challenging honors math tracks at different universities are raised, indicating a broader interest in rigorous mathematics programs.

Areas of Agreement / Disagreement

Participants express a variety of opinions on the best preparation strategies and the nature of the placement exam, indicating that multiple competing views remain. There is no consensus on the optimal study materials or the best approach to entering the honors analysis sequence.

Contextual Notes

Some participants note that not all universities offer an honors math track, which may limit options for students seeking rigorous mathematics courses. The discussion also reflects uncertainty about the specific requirements and expectations for the placement exam.

Who May Find This Useful

High school students interested in pursuing mathematics at a rigorous level, particularly those considering the University of Chicago or similar institutions with challenging honors programs.

zyj
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At my high school, I've already taken AP Calculus BC both Physics C exams, and I got fives in all of them. My school doesn't really have any other hard courses, so I figure I could spend my senior year doing a lot of self-studying. Would Spivak's Calculus and Velleman's How to Prove It be enough to study out of if my goal is to try to get into the Honors Analysis sequence, or are there different and/or better books out there?
 
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Do you have options to cross-enroll at a university or community college?
 
Are you talking upper division honors analysis or honors calculus which is proof based? I assume the latter since you are in high school and for that, the prereq is usually a 5 on the AP exam.

If you mean upper division honors analysis, then spivak calculus + a book on proofs would be good.
 
The entrance to honors analysis I - III sequence at UChicago, if you're an incoming freshman, requires you to take a placement test on O - Week which is mostly comprised of calc II. I'm sure you already know this but Honors Analysis at UChicago is easily the hardest class (forget hardest MATH class haha) in the country for an undergraduate if not tied with Harvard's 55. So if you're going to enter it as a freshman make sure you prepare well. The track is usually entered by sophomores.
 
Are there copies of previous placement tests floating around? I'm just curious what level of content is on there.
 
http://www.math.uchicago.edu/undergraduate/placement.pdf that is all I could find, it has a list of the topics at the very end. It is pretty much what you would encounter in a typical BC course. Have you already been accepted and just waiting for O - Week?
 
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No, I still have another year of high school to go.
 
zyj said:
No, I still have another year of high school to go.

Then you should worry about getting into UChicago first imo. The calculus placement exam is what determines if you are recommended for honors analysis or not and its mostly Calc BC stuff and you have taken that. The most you can do now for the test is review your Calc BC material and, for the honors analysis class itself, self - study spivak apostol etc. so that you will actually be ready for it because, as most people know, along with Harvard's 55 it is a legendary class with regards to its difficulty. You can always take honors calculus freshman year by the way and enter the honors analysis track later.
 
Alright, thanks for the advice.
 
  • #10
Assuming you get accepted at UChicago, I would not stress over the placement exam. The computational parts of the exam are pretty trivial if you have a decent grasp of calculus and the proof-based parts of the exam are pretty simple too. If you read something like Spivak's calculus and work the problems in that book, then you will be more than prepared for the placement exam.
 
  • #11
Read Spivak's Calculus. Do the problems. This is good advice even if you do not get in UChicago but are seriously interested in math. It is strong prep to take the course.
 
  • #12
Alright. I was already planning on studying Spivak anyways even if I don't get accepted, since I figure I'd just do an Honors Calculus/Analysis sequence elsewhere.
 
  • #13
zyj said:
Alright. I was already planning on studying Spivak anyways even if I don't get accepted, since I figure I'd just do an Honors Calculus/Analysis sequence elsewhere.

Make sure the uni has it because not all unis offer an honors math track. If you want something that is still quite tough check out UMichigan's honors math track.
 
  • #14
WannabeNewton said:
Make sure the uni has it because not all unis offer an honors math track. If you want something that is still quite tough check out UMichigan's honors math track.

Do you have any other recommendations for challenging honors tracks? I've sort of put together a short-list, and all of them have honors options one way or another, but it's still sort of preliminary.
 

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