Questions tagged [applied-mathematics]
For questions related to applications of mathematics and the teaching thereof.
43 questions
3
votes
1
answer
353
views
How can one improve the coherence and pedagogical structure of a mathematical modeling syllabus at the undergraduate level?
I'm reviewing the syllabus of an undergraduate mathematics course on mathematical modeling at a college in my region. The course spans 30 hours and is split into two units:
Unit 1 (15 hours) covers:
...
- 491
2
votes
1
answer
154
views
Does answering any math questions you encounter help the quality of what you learn?
I'm an undergraduate math student and I'm trying to maximize the quality of what I could learn.
My strategy a few years ago started by just reading multiple concepts and topics from different fields ...
- 39
4
votes
0
answers
227
views
Learn ring theory more fun
I asked this question at 'mathoverflow'. However, the character of this question does not match mathoverflow, so I am asking this question again on this site.
Motivation:
Among abstract algebra, I am ...
- 149
4
votes
2
answers
178
views
The key didactical ideas on mathematical modelling?
This question concerns teaching teachers who often already teach mathematics, but are now studying to get a formal qualification for it, and hopefully some more competency as well.
What are the key ...
- 8,942
0
votes
1
answer
137
views
What are specific set of tools Partial Differential Equations provide in studying a system? [closed]
I know what are PDEs, but I am looking to identify the major strengths of PDEs. If I have to convince a pool of engineers to use PDEs for solving a problem, let's say stress distribution in a body. ...
- 9
3
votes
3
answers
876
views
Walter Warwick Sawyer: How has reading his works changed your learning or teaching? [closed]
I recently worked my way through Walter Warwick Sawyer's book, Mathematician's Delight, which has opened my eyes to Maths. I used to fear maths, feeling I was incapable. Sawyer (among other authors) ...
- 155
-2
votes
2
answers
209
views
Is applying maths a 'hard problem' and how does the profession help?
Question: Is there such a thing as an Applied Maths profession?
In my engineering experience we were often at a loss as to which mathematical approach to take, and there seemed no obvious way to find ...
- 5
2
votes
1
answer
217
views
How and what to teach on a second year Engineering Mathematics?
In the late 80’s and early 90’s there was the idea of ‘calculus reform’ and some emphasis and syllabus changed. The order of doing things in calculus also changed with the advantage of technology.
...
- 1,249
1
vote
1
answer
246
views
Introducing direct substitution in an intro calculus course
I'm revisiting the materials I've put together for students taking a non-proof-based intro to calculus, and my goal is for them to have a clear but rough sense of a limit as a bound (basically enough ...
- 229
1
vote
2
answers
142
views
How can I effectively learn and master Math and Statistics for Data Science?
I completed a BSc in Computer Science recently and am going on to do an MSc in Data Science. However, the only focussed math module I had during CS was in the first year and I didn't do too well. I ...
- 21
-6
votes
1
answer
324
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 ...
2
votes
3
answers
224
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, ...
- 151
3
votes
2
answers
333
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 ...
- 8,369
6
votes
0
answers
90
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 ...
- 325
6
votes
5
answers
6k
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}\...
user13544