I'm currently a mathematics major taking an honors multivariable calculus/linear algebra course. My most recent midterm covering differentiability of multivariable functions, derivatives of matrix functions, chain rule, etc. was an 81. Granted, 4 points were lost only due to a simple calculation error (some more were lost by not rigorously proving a function was continuous at a point). I'm worried due to the fact that my proof on the exam (f:R^n->R^m, prove if f is differentiable at a, it is continuous at a) received a 10/20. Is this exam indicative of troubles ahead? Is it normal for math majors to receive scores like 81/100 on exams like these? I'm worried that I may not have what it takes because of this.
What are some of your experiences with grades? How did it affect your education in mathematics?
Thanks
Wretchosoft
Nov15-08, 02:29 AM
In an honors math class, I'd think a B would be pretty nice...
Check out how the other kids are doing. If everyone else aced the test with 95-100%, I would be worried, but it's much more likely that there's a typical range of A's, B's and C's.
You're doing fine. Although, if you're truly worried about your grade on a proof, go back and spend some time with it so that you really understand what you did wrong. Once you've received the grade, there's really nothing you can do except work harder/smarter for the next test, so don't fret about your performance.
Think of it this way: if you didn't "have what it takes," you would have bombed the test. You got over 80% of the points, so you must clearly be doing something right.
2ltben
Nov15-08, 07:29 PM
The only real way to learn how to write a good proof is through experience. Keep practicing and working your way through material. Do what every other math major has to do: buy Rudin and work your way through it. When you come to a Theorem, prove it yourself. If you can't, read a line of the proof and try again.
George Jones
Nov15-08, 07:53 PM
What was the class average?
altcmdesc
Nov15-08, 08:18 PM
The class average was 80 in my class of 21 students. I just feel like I should be preforming better.
I'll be taking a Rudin-based Honors Analysis course probably my junior year. Next year I'll probably be taking Honors Algebra and another course (intro to topology and differential equations, probably) both semesters, as I've heard algebra is easier to grasp than a lot of analysis.
JasonJo
Nov15-08, 10:20 PM
Just do your best and keep pursuing math. Try not to get too bogged down with grades and all that.
Hurkyl
Nov15-08, 10:34 PM
It really depends on the class. One of my math professors tells a story where he was taking some course (I forget what), and he had trouble with the first test. After getting it back, he saw it was graded 17 out of 100, with a note telling him to see the professor after class.
Needless to say that he was in a right state of panic! He thought he had gotten in way over his head, and had no business being in the class... anyways, he goes to talk to the professor after class, who tells him "Are you sure you're in the right class? You did far better than everyone else, maybe you should take something more challenging?"
altcmdesc
Nov16-08, 10:27 PM
What were some of your final grades? Lowest grades on midterms, etc.? If you don't mind, of course.
2ltben
Nov16-08, 11:08 PM
It really depends on the class. One of my math professors tells a story where he was taking some course (I forget what), and he had trouble with the first test. After getting it back, he saw it was graded 17 out of 100, with a note telling him to see the professor after class.
Needless to say that he was in a right state of panic! He thought he had gotten in way over his head, and had no business being in the class... anyways, he goes to talk to the professor after class, who tells him "Are you sure you're in the right class? You did far better than everyone else, maybe you should take something more challenging?"
We call that the Keisler Curve at my university. A few semesters back someone in Cal 1 got a 60 on a test by handing in a blank sheet of paper.
daveyinaz
Nov17-08, 05:53 PM
A few semesters back someone in Cal 1 got a 60 on a test by handing in a blank sheet of paper.
Wait! Is that true? Sounds like an urban legend or something.