Questions tagged [applied-mathematics]

For questions related to applications of mathematics and the teaching thereof.

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37
votes
13answers
18k 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 ...
31
votes
12answers
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 ...
30
votes
8answers
3k views

How to react to students saying that they are allergic to applied mathematics?

I'm working in the field of applied mathematics (optimization and numerics) and I meet a lot of students saying that they are allergic to applied mathematics or that they hate it or some quotes like "...
18
votes
4answers
2k views

Computational topology for engineers

Increasingly, I see computational topology being applied to problems involving sensor networks, robotics, data analysis, signal processing and various other areas. The topics I mention are interesting ...
12
votes
3answers
5k views

What math courses should be taught to undergrad electrical engineers: a 40 years update

I was browsing IEEE xplore the other day and found this gem called "What Mathematics Courses Should an Electrical Engineer Take? A Report on the National Study of Mathematics Requirements for ...
9
votes
4answers
1k views

Inspirational Mathematics Books for Teenager

My daughter is in 6th grade. She likes mathematics, i.e., she likes to learn mathematics at school, is also good at what she has learned at school and is rather quick at picking new things. However, ...
9
votes
3answers
333 views

New math. teaching assistant facing big problems, what to start with? [closed]

I'm new math teaching assistant in faculty of engineering in Egypt. And after one term only, I found 3 big problems here: 1) There is no help in teaching me how to teach. It's up to my own skills. 2)...
9
votes
3answers
214 views

Teaching and motivating the use of Eigenvectors

I would like to know how to better demonstrate Eigenvectors. The texts that I have display the properties and methods to calculate them. There are plenty of great elementary examples to follow through ...
8
votes
4answers
290 views

Make a matrix algebra course (1st university year) more “project-based”

Among other courses, I'm teaching a (basic) matrix algebra course for 1st year university students (they are studying Economics, and the cursus leads them to management, finance, or econometrics in ...
8
votes
1answer
299 views

Quantity as the basic concept for applied mathematics

I read about the Theory of Quantity in the booklet Principles of Mathematics Education written by Kô Ginbayashi in 1984. (A summary of it is here.) Instead of using pure numbers as the basic concept,...
7
votes
4answers
870 views

Complex analysis (Applied versus pure)

I am studying Electrical Engineering and I want to specialize in signal processing. However, I have to study complex analysis first (I am an undergraduate, so I lack some terminology). In your opinion:...
7
votes
7answers
3k views

Mathematics in real life

I am interested in examples of use of mathematics in real life situations. To be more precise, something that could be presented to undergraduate students in order to motivate them for studying maths. ...
7
votes
2answers
1k views

Why does a first course in linear algebra teach QR-decomposition?

I am teaching a "linear algebra for engineers" course, and am currently building my lectures on Gram-Schmidt, QR-decomposition and least squares equation solving. $\bullet$ I can motivate ...
7
votes
2answers
211 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 ...
6
votes
2answers
193 views

How to come up with a Leslie matrix with convenient eigenvalues?

A three by three Leslie matrix looks like $$ \begin{bmatrix} f_0 & f_1 & f_2 \\ s_0 & 0 & 0 \\ 0 & s_1 & 0 \end{bmatrix}, $$ where $f_0 \ge 0$ and everything else is ...
6
votes
1answer
180 views

Easy and good book on combinatorial problems

I am searching for a book on combinatorics and/or mathematical puzzles for very beginners in easy English. The book should not contain detail mathematical expressions, will contain easy understanding ...
6
votes
0answers
67 views

Support modelling cycle through differentiated means

I plan to work with my students on solving real-world problems through modelling them. Now it is my idea to follow the modelling cycle below. The idea is to find with the help of two values that have ...
6
votes
0answers
76 views

Long-form, multi-step, skills-integrating applied mathematics problems in calculus I, II, III

When recently teaching Calculus II to college students, I instructed my students to read and be ready to work through the first 8 or so questions of James Walsh's climate modeling differential ...
5
votes
4answers
3k views

Examples of real-life vector fields for vector calculus

My two main ones are Electrostatic force field $\mathbf{E}\left(\mathbf{r}\right)=\frac{Q}{4\pi\epsilon_0 \left|\left|\mathbf{r}\right|\right|^3}\mathbf{r}$ and Gravitational force field, $\mathbf{F}\...
5
votes
2answers
178 views

Tabular Fundamental Theorem of Calculus

This semester in first-semester Calculus I've been trying to focus on how to do Calculus calculations when given a table of data since this seems to be of importance to science majors. There are ...
5
votes
2answers
320 views

Trends in math education: Majors? Applied math? Statistics?

I would be quite interested in learning of trends (in the U.S. or internationally) of student interest at the undergraduate level in pure math vs. applied math, say, measured by majors at graduation. ...
5
votes
1answer
133 views

What other skill sets for middle school students can be introduced during the Stock Market Game?

The Stock Market Game has been a staple in mathematics and economics curricula for quite some time. There are a number of different skill sets that can be taught to middle school students (grades 6-8)...
4
votes
3answers
7k views

Application of Minimizing Average Cost

In my Business Calculus class we cover finding the production level that minimizes average cost. I get what average cost is measuring, but all the texts I've looked at don't really mention why we care ...
4
votes
3answers
311 views

Teaching science and engineering students the field of inverse problems

There is a Mathematics Stack Exchange question on a good book on inverse problems for engineers. Here, I would like to ask for suggestions on how to approach teaching undergraduate upper-division ...
4
votes
0answers
110 views

How to explain the “less than yearly compounded interest” concept?

What difficulties can be met while teaching the "less than yearly compounded interest" concept? Based on my own (learning) experience, an objection arose when I was presented with the formula: $$A ...
3
votes
1answer
108 views

Entry Test for Statistical/Data Science class

If there is a Data Science class (for final year high school students, not necessarily from the same school) with the following syllabus: Python programming (first 3 meetings) Data cleaning and ...
3
votes
2answers
141 views

Teaching Mathematics rules or its applications

I am teaching Mathematical Economics for undergraduate students. Students have taken Mathematics I and II during their first year and they must take Mathematical Economics when they are third year ...
3
votes
1answer
71 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 ...
2
votes
3answers
193 views

If one wants to conduct a 1/2 day workshop in Mathematics for 12-16 year old students - how one should go about preparing the workshop

The questions that I want ask are the following: What are the most important and effective topics to conduct a workshop? What fraction of workshop should include lectures, activity, problem solving, ...
2
votes
3answers
135 views

Suggestion and advices [closed]

In my country the education system is very expensive, so I’m considering starting an organization to teach lower-income students for free. In particular, to motivate them into the science fields. So, ...
2
votes
1answer
152 views

Advice on studying mathematical biology [closed]

I am really passionate about theoretical and quantitative biology and I would like to build my future career around this topic. I've just got my bachelor's degree in biology (ecology) but scince I've ...
-4
votes
1answer
157 views

Who are in the current top 10-20 applied mathematics educators and in what fields? [closed]

Who are in the current top 10-20 applied mathematics educators and in what fields? (Answers will be varied) Applied mathematics educators that teaches applied math topics such as applied statistics, ...
-5
votes
1answer
90 views

Why is Pure Mathematics so much easier than Applied Mathematics? [closed]

I love pure mathematics, so much. However, I recently did probability and statistics and applied mathematics courses, and I'm confused with statistics. There's no proofs and logic in applied math ...