Can I Pass Math 295/296 Test Out?

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Discussion Overview

The discussion revolves around the feasibility of self-studying advanced mathematics, specifically through the Spivak Calculus book and Hoffman and Kunze's Linear Algebra, in preparation for testing out of math courses 295 and 296. Participants explore the challenges of mastering the material within a limited timeframe of four months, considering both understanding and retention of the concepts.

Discussion Character

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

Main Points Raised

  • One participant expresses concern about the ability to learn all necessary material in a short time, noting that the duration of courses is designed for thorough understanding.
  • Another participant suggests that while it is possible to attempt the challenge, it may lead to lower grades and retention issues due to the compressed study period.
  • A later reply questions the appropriateness of using Spivak for the intended purpose and suggests Apostol's book as an alternative, highlighting that Apostol includes linear algebra and is rigorous but may be more suited for mathematicians.
  • Participants discuss the importance of having a solid background in the subjects before attempting to cover them in a limited timeframe.

Areas of Agreement / Disagreement

Participants generally agree that mastering the material in four months is a significant challenge and that prior knowledge is crucial. However, there is no consensus on the best approach or the suitability of the recommended textbooks.

Contextual Notes

Limitations include the assumption that the participant has a sufficient background in the subjects, as well as the potential for varying levels of understanding and retention based on individual study habits.

Who May Find This Useful

Students considering self-study for advanced mathematics courses, educators advising on course preparation, and individuals interested in the rigor of different mathematics textbooks.

TimeInquirer
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Hello, I recently came into an issue in regards to my course schedule. I talked to one of the professors in the math department and suggested I not take 3 science classes as well as math 295 (hardest math sequence my school has to offer). This puts me at issue in regards to meeting the math requirements for my physics classes. I then thought maybe testing out will be a creative solution. My question is whether or not it would be likely that I go through the Spivak Calculus book and Hoffman and Kunze's Linear Algebra all the while actually understanding the material. I have approximately 4 months to do this (over summer break) before I am issued a test out exam out of math 295 and maybe 296. The topics covered in these book are calculus 1,2,3, and linear algebra (theory based).I have had experience in these topics but only in terms of computing problems (Stewart calculus).
 
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You are asking if you will be able to cram a whole math course into a short time well enough to pass the final for the course?
There is no way to tell, you have to ask someone who knows you and has seen you work.
Those courses take that amount of time for a reason.
Of course it is possible... I used to boast I could teach a whole paper in about a week... but I would expect you actual grade to take a hit and youd have retention trouble down the road. So much of the coursework is for practise.
 
Ah, I understand the point you make. My apologies for stating a vague question. I was asking whether or not it would be likely to learn all the material in a relatively sort frame of time; however, as you stated previously, it is dependent on the person. I will most likely attempt this challenge just to gauge my abilities. Thank you.
 
Oh sure - at worst, you will be really well prepared ;)
 
TimeInquirer said:
My question is whether or not it would be likely that I go through the Spivak Calculus book and Hoffman and Kunze's Linear Algebra all the while actually understanding the material. I have approximately 4 months to do this (over summer break)

If you want rigor (which is why you're talking about using Spivak, I'm guessing) you might want to use Apostol instead. He includes linear algebra at the end of Calculus Volume I. But these are serious books, meant for mathematicians rather than physicists. Heavy on theory. Are you sure that's what you're looking for? Understanding all the material well is not a job to be completed in four months unless you already have some good background in the subject.
 
What are the benefits of Apostol's math book instead of Spivak's?
 

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