Questions tagged [mathematics]

Use this tag for questions about the teaching of mathematics as it applies to computer science, or mathematics concepts in the context of computer science. DO NOT use for questions about pure mathematics or deriving equations or such matters; those questions belong on Mathematics.SE (or graduate-level questions on MathOverflow). Instead,

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45 views

How to learn asymptotic notations rigorously?

Is there any good tutorial about how to make asymptotic notations rigorously? I think the way from Turing machines to the analysis of pseudocode is quite a big. Or is the situation that there are some ...
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2answers
173 views

How to teach sums and asymptotics to students who don’t know limits

I am to teach sums and asymptotics to first year CS undergraduates who have only high school math. I thought it would be attractive to follow chapter 14 of https://courses.csail.mit.edu/6.042/...
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1answer
127 views

Cormen's "Algorithms" pre-requisites

What to recommend as a pre-requisite reading before Cormen's "Algorithms" to make this book easier to get through for 10-12th graders? Any courseware available for kids, books, courses, etc.?...
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3answers
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How useful it is for math student to learn programming to find proofs or counterexamples?

I study mathematics and sometimes I have difficulties to find proofs or counterexamples to some problems. Is it useful to learn programming to find counterexamples or proofs? How useful it is for ...
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3answers
200 views

Software development vs universities and scientific papers

In short: Does learning how to make software, have its place inside universities? If so which parts of it? I was studying in a university in Russia. I don't want to name its name and location. I ...
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18answers
22k views

Why do computer-science majors learn calculus?

I am curious why computer-science majors have to learn calculus to receive their bachelor’s degrees. My father worked as a software engineer for twenty years and never used it. It seems to have little ...
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5answers
162 views

Discrete function is also a math function?

Here is a table of the Staten Island subway: ...
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5answers
1k views

Teaching "math function" vs. "CS function"

The word function has different meanings in math and computer science. For example, f(x) = rand(1) is a valid (pseudocoded) CS ...
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2answers
202 views

How far do you take modular expressions?

I'm sure that basically every introductory course involves teaching about the ubiquitous mod operation. In my experience, and I'm sure I'm not alone in this, I've found that teaching my students that ...
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4answers
498 views

Avoiding confusion about precedence

When mentioning operator precedence for AND / OR, I explained it wrongly. I re-explained it properly using the idea of binding: the operator "binds tightly" to the two expressions immediately on ...
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13answers
6k views

How do I teach "math equality" vs. "CS assignment" vs. "CS equality logic operator"?

Consider the following three uses of equality: In mathematics, the statement $x = x^2$ In Python, the statement x = x**2 In Python, the expression, ...
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3answers
313 views

How to explain combinatorical principles like the rule of product to students who "just don't get it"?

I assist in courses that provide mathematical background to computing science students. Every year, there are some who "just don't get" (in their words) concepts like the rule of product or the ...
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4answers
663 views

Should students be taught to be first and foremost: scientists or mathematicians?

It's undeniable that Computer Science is a mixture of disciplines including science (the scientific method, some physics needed to truly understand how computers work at all levels, testing ...
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3answers
585 views

Teaching "CS integer" vs. "math integer"

The concept of an integer data type is not equivalent to the math concept of the set of integers. For example, in many programming languages the expressions 3. and $...
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1answer
415 views

Tips for self-study with just a textbook and google

I'm going to be working through a textbook on discrete mathematics that has a special focus on computer science. My only resources are the textbook (which, in its defense, has answers to the odd ...