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Questions tagged [applications]

For questions on the use of mathematics in science, industry and everyday life.

1
vote
0answers
74 views

A compelling example of what complex numbers are for, before teaching them [duplicate]

When talking to kids before they are taught complex numbers, I would really like to give some examples of why it will be exciting to learn them. I am comfortable explaining the intellectual ...
8
votes
1answer
267 views

Real World use of the Function $(\sin{x})^x$

Today in my calculus class we were going over L'Hopital's Rule and were dealing with limits of the following form $$h(x)=f(x)^{g(x)}$$ Three examples we considered are as follows: $(1)\; \...
2
votes
1answer
61 views

Practical Implication for Correlation (Lay individual vs Scholarly Group)

Can you please explain or provide resources that explain this issue (esp. to a lay audience): How to understand the significance of a co-relation number that studies (esp. meta-analyses) produce. The ...
26
votes
9answers
6k views

Should college mathematics always be taught in such a way that real world applications are always included?

I am teaching Linear Algebra this semester with the textbook Introduction to Linear Algebra by Serge Lang and most (perhaps all?) my students are not majoring in mathematics. As I was carefully ...
4
votes
5answers
115 views

Books and worksheets on symmetry

At a local Math Circle, I loved some problems worked out through a hinged mirror to illustrate symmetry. I bought a hinged mirror from hand2mind.com, and am looking for some material, ideally books ...
10
votes
3answers
181 views

High School Math Course focused on Sports

I am an high school math teacher and want to develop a math course that is totally focused on sports. It would be a senior level course and would focus on the math and analytics of sports. I just ...
5
votes
1answer
214 views

Applications of notable points and lines of a triangle

I am currently starting to teach math to highschool kids who don't do well on their own, and I'm teaching a guy about notable points and lines of a triangle (incenter, centroid, circumcenter, ...
7
votes
7answers
2k views

Application of perpendicular lines

Endeavoring to bring some flavor of "real world" application to each topic in my community college precalculus class, I find myself struggling to provide some non-geometric motivation for ...
5
votes
3answers
340 views

What are good solar eclipse questions/projects for students?

I'd like to hear some ideas for problems or projects related to this summer's solar eclipse, in particular for the high school or undergrad level (algebra through calculus).
9
votes
6answers
1k views

Greatest common divisor applications

What are some real-life applications of gcd? I am looking for a motivating way of introducing this topic in an elementary number theory course.
33
votes
13answers
13k views

Why do we teach complex numbers?

In algebra II, USA, we teach our students complex numbers. However, after algebra II, they never use complex numbers until pretty much complex analysis. The whole point of teaching them complex ...
18
votes
3answers
903 views

Should I teach Laplace Transforms? How much?

My question is in the title. Let me elaborate and give some context: I'm teaching a first differential equations course, essentially for engineers, at the university. I'm developing the syllabus ...
7
votes
3answers
167 views

Solving linear systems - Applications

I was thinking today applications of $\textbf{Ax}=\textbf{b}$ where $\textbf{A}\in\mathbb{R}^{m \times n}$. Specifically, I am interested to know what applications one might give to students, who don'...
2
votes
0answers
115 views

Is the absence of complex analysis a significant disadvantage in math grad school application? [closed]

I am a junior math major considering math grad school, possibly in probability theory. Would the admission commitee of math grad schools view the absence of complex analysis as a significant ...
5
votes
3answers
156 views

Modeling vs. Application vs. Context

Our undergraduate mathematics program has recently seen a large drop-off in majors (suspected reason: our growing (but separate) undergraduate statistics program is seen as being a more employable ...
7
votes
2answers
156 views

Are there more modern or computation oriented applications of complex analysis in science and engineering?

No doubt that complex analysis is a tremendously useful with plenty of applications in engineering and physics. Common raw applications of complex analysis includes: evaluation of ordinary and ...
5
votes
3answers
170 views

Sources for mathematics outside the mathematics world

In this question I would like to ask you about material showing the uses (or occurrences) of mathematics in the everyday world. The aim is to encourage with it a group of young undergraduate ...
9
votes
7answers
1k views

Galois Theory: necessary?

I noticed the discussion of whether the teaching of Galois Theory is necessary on MathOverlflow. Here at LSE, everything we teach in mathematics should have some application to the social side of life....
9
votes
4answers
614 views

“Greatest hits” of applications of freshman calculus to economics?

The title pretty much explains the question. I've never taken a course in economics, so it's hard for me to judge what are the most important applications, the most interesting ones, or the ones that ...
11
votes
8answers
718 views

Symmetry - practical usages

My girlfriend is studying to become a math teacher, and asked me what I have ever used symmetries for. I'm a web developer, and do some designing from time to time, so I answered that symmetry have ...
11
votes
5answers
620 views

An application-heavy functional analysis textbook?

I took functional analysis from Conway's book. I thought it was just as abstract and dry as homological algebra, if not more. I knew of no applications. Then I learned that standing waves on a drum ...