Choosing Hard Classes: Benefits & Risks for Graduate School

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SUMMARY

Choosing easier classes over harder ones can negatively impact long-term academic success, particularly for those aiming for graduate school. Engaging in rigorous courses, such as Honors Calculus and Linear Algebra, fosters essential skills like proof-based reasoning, which are crucial for advanced studies. Students should evaluate the actual difficulty of courses and their content coverage, as well as consider the potential benefits of higher averages in challenging classes. Ultimately, the depth of knowledge gained from tougher courses outweighs short-term grade advantages.

PREREQUISITES
  • Understanding of undergraduate course structures, particularly Honors vs. regular classes
  • Familiarity with proof-based mathematics, especially in calculus and linear algebra
  • Knowledge of graduate school admission criteria and expectations
  • Awareness of academic performance metrics and grading policies
NEXT STEPS
  • Research the differences between Honors and regular courses at your institution
  • Explore the impact of rigorous coursework on graduate school applications
  • Learn about effective study techniques for proof-based mathematics
  • Investigate grading policies for challenging courses at various universities
USEFUL FOR

Undergraduate students considering their course selections, academic advisors, and anyone preparing for graduate school who seeks to understand the implications of course difficulty on future success.

brtgreen
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When choosing my classes, I've always picked the easier class rather than taking the harder just so I can get a higher grade. (For example, I took Calc III last semester rather than Honors Calc III). Do you guys think this is a bad idea? If I want to go to graduate school wouldn't picking the harder classes probably kill my chances to get accepted?
 
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I think you're applying a short-term strategy that's likely to hurt you in the long run.

A few questions you may want to ask yourself:
1. Are these classes really so much easier?
2. What are they not covering?
3. How much higher are your marks really going to be? Some people actually perform better when challenged.
4. If the only way you canget into grad school is by taking easy classes, do you think that you'll really be all that successful? Grad school isn't any easier than undergrad, and usually there aren't "easier" options.
Once you get into grad school, and more importantly, once it's over, what really matters is what you've gotten out of the classes you took.
 
Choppy said:
I think you're applying a short-term strategy that's likely to hurt you in the long run.

A few questions you may want to ask yourself:
1. Are these classes really so much easier?
2. What are they not covering?
3. How much higher are your marks really going to be? Some people actually perform better when challenged.
4. If the only way you canget into grad school is by taking easy classes, do you think that you'll really be all that successful? Grad school isn't any easier than undergrad, and usually there aren't "easier" options.
Once you get into grad school, and more importantly, once it's over, what really matters is what you've gotten out of the classes you took.
To add to what Choppy said,

1) and 2) Where I go to, it seems there's a palpable difference between the Honours and regular courses. I may be biased, since I'm taking the Honours ones, but from what I hear from other students the regular ones are much, much easier, and that's what the professors that teach our courses say, as well. I don't know how it is at your school, though, so you might want to check that out.

Also, I see quite a lot of topics here where upper-year students are asking whether they should take a course or read a book on proofs. I don't know how your Maths courses are, but we've been doing proofs in our Honours Calculus and Linear Algebra courses almost from day one. I guess the biggest difference then comes from just that, namely that the Honours courses seem to be much more rigorous and proof-based, and I can honestly I'm not intimated by having to prove stuff anymore, since basically all of our homeworks are just prove this, prove that. That isn't to say I find it easy proving things, it's just that the techniques are not the bottle-neck. And, again, from what I hear, in regular courses it's more about computation, whereas we almost treat that as trivial. We still need to know how to compute everything those that are taking regular courses need to, but it seems that is taken almost as granted, and the hard stuff lies elsewhere.

3) Apart from the challenge, the averages are also higher in Honours courses, since it's my university's policy not to punish those taking tougher courses. That, of course, doesn't mean, there's only A's, but instead of a C average, you'll have a B- average or something akin to that. That may or may not be the case where you're at, though.

4) This, I think is the best point of all. If you're just taking the easy way out, then I think that's pretty weak.
 

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