Questions tagged [prerequisites]
The necessary background to learn a certain topic or to follow a course or academic program.
12 questions
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A different way to assess students' preparation for calculus?
Everyone experienced in teaching calculus in typical state universities in the U.S.A. knows that the overwhelming majority of students' difficulties result from deficiencies in their knowledge and ...
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How strict are you with prerequisites? [closed]
I've been thinking a bit of this comment and the following one:
"(Look at all the complaints we get about kids who can't combine
fractions!)"
"Because it is not about you. Not about ...
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1
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Where can I find the partial order relation of prerequisites of undergraduate courses in the United States?
Let $A$ be the set of all undergraduate mathematical courses in the US and define a binary relation $\leq$ on $A$ such that for elements $a,b\in A$ (that is, $a$, $b$ are undergraduate mathematical ...
3
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1
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Is "The Petersen Graph" by Holton and Sheehan a good text for graph-theory students? Any requisite knowledge for mastering the text?
This book has been recommended to me by a guiding hand/mentor mathematician when I showed interest in his field, and he seemed to really like this book however he doesn't really know me and my ...
5
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2
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Are there any math certificates/qualifications on high school maths that you can do after high school?
I hope this is a good place to ask the question.
My issue is that I have finished high school a number of years ago, and although I did some (non-advanced) math courses then, I did not do an exam in ...
21
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3
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At what point is it a disservice to pass someone on to the next math class?
Background information
I'm currently teaching common core geometry, which assumes that a student has algebraic knowledge coming in. Clearly, we shouldn't expect students to retain everything from ...
14
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4
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8k
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What is a good book to learn all of prealgebra?
I am an old man trying to learn math, starting off with prealgebra and need a good comprehensive book for it. The book should NOT contain annoying images like in most American textbooks or anything ...
17
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3
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How to help students bridge the gap between highschool and university mathematics?
Mathematics at highschools is quite different from that in universities.
Instead of calculating numbers and finding solutions to specific problems, freshmen end up proving theorems and figuring out ...
20
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3
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2k
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What to do when a majority of students have insufficient mastery of the prerequisite material?
I'm currently teaching a second-semester calculus course in which a significant percentage of my students (over half) either tested into the course just out of high school, took a much easier first ...
8
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3
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764
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What courses require multivariable analysis?
For which undergraduate and graduate mathematics courses is multivariable analysis* an essential prerequisite?
$\text{*}$ That is, a rigorous follow up to a first real analysis course at the level of ...
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11
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Is there any proof of the fundamental theorem of algebra that can be introduced to undergraduates who have just completed Calc III?
I am aware of three proofs of the fundamental theorem of algebra, using:
Liouville's theorem
The fundamental group of the punctured plane, or
Multiplicativity of field extensions together with the ...
13
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What prerequisites would college students need for a course based primarily on Euclid's elements?
I love Euclid's elements, and would like to base a course around them. Before I can pitch it to my supervisors, I need to know where it would fit in the curriculum. While it begins from elementary ...