Questions tagged [prerequisites]

The necessary background to learn a certain topic or to follow a course or academic program.

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5
votes
2answers
149 views

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 ...
20
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3answers
418 views

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 ...
9
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3answers
3k views

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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3answers
1k views

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 ...
19
votes
3answers
1k views

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
votes
3answers
349 views

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 ...
32
votes
10answers
4k views

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 ...
12
votes
2answers
307 views

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 ...