What is a good grade in calculus 1-3?

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Discussion Overview

The discussion revolves around what constitutes a "good" grade in calculus courses 1-3, particularly in the context of pursuing a PhD in mathematics. Participants explore the implications of grades for graduate school admissions and the importance of understanding the material versus merely achieving high grades.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants suggest that aiming for A's in major courses is essential for PhD applications, while others note that students with lower GPAs have still gained admission to graduate programs.
  • One participant emphasizes that understanding the concepts in calculus is more important than the grade received, arguing that it is possible to earn an A without truly grasping the material.
  • Another participant mentions that while calculus is foundational, later proof-based courses may carry more weight in graduate admissions.
  • Some express that the difficulty of calculus courses can vary significantly depending on the professor and the institution.
  • A participant shares personal experiences of learning more from lower grades in calculus than from higher grades, suggesting that comprehension is key.
  • There is a discussion about the grading scale at different universities, with one participant noting the challenges of achieving a high GPA based on their institution's grading system.

Areas of Agreement / Disagreement

Participants do not reach a consensus on what constitutes a "good" grade, with varying opinions on the importance of grades versus understanding the material. Some believe high grades are necessary for PhD aspirations, while others argue that comprehension is more critical.

Contextual Notes

Participants acknowledge that grading standards and expectations can differ widely across universities and professors, which may influence their perspectives on what grades to aim for.

mharten1
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What is a "good" grade in calculus 1-3?

I realize that good is relative. Hopefully I will pursue a PhD in math one day. Is there a certain grade that will tell me whether I am capable of doing this, or at least on the right track? I also realize that not all grades are created equal, some professors and universities are easier or harder than others. But in general, what is a grade that I should aim for?

The calculus series I will be taking starts with basic differentiation and goes all the way up to multiple integration and vector analysis.

I know that this is a somewhat strange question, but it's always good to have some sort of goal to work towards.
 
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I think it's a given that if you are going to apply for admission to a PhD program in any subject, you should have A's in most or all of your major classes. But if you're going to get lower grades, your freshman year is probably the best time to get them.
 


brocks said:
I think it's a given that if you are going to apply for admission to a PhD program in any subject, you should have A's in most or all of your major classes. But if you're going to get lower grades, your freshman year is probably the best time to get them.

The reason that I ask is that I see a lot of people with 3.0 or 3.1's in their respective major that get into grad school. I certainly don't want to go to a low ranked grad school, but I don't necessarily need to get into the best either.

Either way, I don't plan on getting low grades. Just useful information.
 


mharten1 said:
The reason that I ask is that I see a lot of people with 3.0 or 3.1's in their respective major that get into grad school.

I find that very surprising. I don't keep up with admission stats any more, but when I did, it would be rare for a good school to accept someone with a B average in his major, except in unusual situations --- outstanding research, or his dad was a former Congressman, UN Ambassador, and CIA Director; stuff like that.

In any case, you wanted a goal, not a minimum, and IMO your goal should be A's in all your major courses.
 


My impression would be the same as brocks's. For example, if you don't get an A on your first calc exam, then bringing yourself up to an A needs to become your #1 priority in life; otherwise you'd need to reevaluate your goal of getting a PhD in math.
 


I'll definitely be shooting for A's. I've always been good at math, so hopefully that translates over to college math. We'll see.
 


In most cases Calculus 1-3 isn't all that difficult and you should go for an A. The later abstract heavy proof classes are the ones where a B might be considered really good.

Of course if your prof tries to make that intro calc stuff into some abstract heavy proof class then maybe not. I easily got As from precal to differential equations (and hopefully higher but I'm an EE not math). I really enjoyed calculus and found it easy to be interested in it.


Secondly if you are striving for a PhD in math then an A in calculus should be your priority. Calculus is very important and useful and is your first real exposure to what's to come. Grades aren't important, try and soak up as much as you can. If you truly want to be a mathematician then I'd suspect it'd be easy and fun for you to do just that.
 


Paul Halmos was a wonderful mathematician. He got a B in calc. I. Obviously, getting A's in Calculus is good, but (and I am just an undergrad, too, so I am not too knowledgeable) what goes on in Calc and what goes on in real (that is, proof-based) math classes is quite disconnected. So, it would seem to me (again, I might be 100% wrong) that graduate departments would rather see you do really well in the upper level classes and ok in the calc classes than the other way around. I know plenty of people (*ahem* engineers *ahem*) who do well in calc/ode but are completely lost in proof-based classes.
 


Well of course. In the long run a B in calculus or whatever won't make a lick of difference, but I think its an important first class for a striving mathematician.

For the engineer comment I kinda resent that lol but its very true. I always say I like math a lot but I haven't had any real proof classes. Its the reason I've registered for a intro proof class next semester (the one all the math kids have to take before they go on to Algebras and real analysis). We'll see how I fare.
 
  • #10


I don't think any prospective Mathematics PhD should even have to ask "what grade they should be aiming for" in an introductory calculus class. If you're not aiming for 100% +/- a few percentage points, you probably don't know what you're getting into anyways.
 
  • #11


The problem is, you're asking the wrong questions. It's very possible to get an A in calculus and not get a single thing out of it. If you want to eventually go to grad school, make sure you understand the concepts and theory behind the work. If you start doing this early, you'll be on the right path.
 
  • #12


Haha! And I have more engineer jokes! In all honesty, I have no problem with engineers (some of my closest friends are engineers :) ) and one of the best students in my analysis class was an AE major. I just like to make fun of engineers because I go to a major engineering school and they way outnumber us :)
 
  • #13


110% is a GOOD grade. an even better one is X>110%.
 
  • #14


gb7nash said:
The problem is, you're asking the wrong questions. It's very possible to get an A in calculus and not get a single thing out of it. If you want to eventually go to grad school, make sure you understand the concepts and theory behind the work. If you start doing this early, you'll be on the right path.

Well said, and I fully agree.
 
  • #15


gb7nash said:
The problem is, you're asking the wrong questions. It's very possible to get an A in calculus and not get a single thing out of it. If you want to eventually go to grad school, make sure you understand the concepts and theory behind the work. If you start doing this early, you'll be on the right path.

Great point, but of course this is a much higher standard than simply gaining the proficiency in calculation that is required in order to get an A.
 
  • #16


I got B's in calc I and III and learned an insane amount from those classes (I'm kinda peeved at the B in calc III, because I literally got an 89 in the class). I got an A in calc II and I learned none of the integration techniques, none of the integration applications, very little about series, and most of the stuff on polar coordinates was covered in better depth in calc III. The grade doesn't matter. It's whether you understand the material. I understand the material (well, maybe not calc II, but I know enough calculus that my self-teaching has been very successful so far). I suspect a lot of the plug and chug kids who got A's in my classes.. well, don't.
 
  • #17


At my university, a 3.66 is 90-93.9% a 4.00 is 94-97.99%, and a 4.33 is >97.99%.

It's even harder to get a 4.0 this way, I don't know if a lot of university do it likes this. Looks like I'll have to study even more. :P
 

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