Questions tagged [engineering-mathematics]
The engineering-mathematics tag has no usage guidance.
31
questions
6
votes
3
answers
251
views
What to do with "wild goose chase" or "quantum leap"-types of incorrect solutions when you ask students to prove/show something?
So in an advanced mathematics course for engineers, there are often problems of the type:
Prove claim A.
Given equation A, show that you can obtain equation Z.
I am frequently faced with a problem ...
- 737
1
vote
0
answers
71
views
If a student earns a non-ABET accredited engineering degree, when can they take the FE or PE exam?
I just recently had a student (U.S. university) ask "How long would I have to wait until I could be eligible to take the FE or PE exam if I earned a non-ABET accredited engineering degree?" ...
- 71
7
votes
1
answer
98
views
Joint Teaching of a First Year Engineering Maths Class
My department is considering using more than one lecturer (sequentially, not in parallel) to give lectures in our large first-year classes (e.g. 500 students doing engineering mathematics).
In other ...
- 703
11
votes
4
answers
3k
views
How can I build a protractor without a protractor?
We all know how to use a protractor; it is taught in elementary school. However, I was wondering what type of knowledge is required to build one from scratch.
For instance, was the understanding of $\...
- 119
0
votes
1
answer
118
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
6
votes
4
answers
838
views
What is the best way to introduce Laplace transforms on an Engineering Mathematics course?
Are there any practical applications of Laplace transform? I would not use Laplace transforms to solve first, second-order ordinary differential equations as it is much easier by other methods even if ...
- 1,245
2
votes
1
answer
198
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.
...
- 1,245
0
votes
3
answers
381
views
How can I visualize differential equations and Integration in real life?
How can we understand differential equations and Integration in real life so that we can understand calculus easily. All we do here, at university level is memorize calculus and get the answer. We ...
- 21
6
votes
4
answers
724
views
Teaching Mathematics to a Machine Learning Class
How and what mathematics must be taught for training engineering students with the mathematics required for Machine Learning?
How can one conduct training of mathematics required for application-...
- 243
2
votes
4
answers
661
views
Is it necessary to teach the definition of a limit for engineering majors? [closed]
I have always wondered whether it is necessary or not. For me, it seems that it is enough to teach them the intuitive idea, that is, limit is just an approximation of a certain process.
what do you ...
- 121
7
votes
2
answers
2k
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 ...
- 5,243
3
votes
6
answers
414
views
What do I study in calculus beyond the minimum required for undergraduate engineering?
I am majoring in aerospace engineering.
I love math a lot, especially calculus. I have a lot of free time right now and I want to learn more stuff in calculus that would be helpful for my major but I ...
- 47
0
votes
2
answers
100
views
Need to learn recurrence relation discrete mathematics [closed]
Which is the best tutorial available online to learn the recurrence relation concept and its solution in discrete mathematics, in a systematic way?
3
votes
1
answer
120
views
Applied ODEs for Numerical Methods
I am looking for a list of ODEs to use as examples in the teaching of a numerical methods course for engineers.
I am looking for first and second order examples - the more applied (to engineering) ...
- 756
4
votes
4
answers
315
views
Introducing derivative concept and definition
I need to give a short presentation on introducing a class of engineering students to the concept and definition of the derivative. I'm to assume that the students are currently at the appropriate ...
- 183
6
votes
1
answer
258
views
Polar form before Cartesian form when introducing complex numbers
When I teach complex numbers to undergraduate engineering students, I invariably start, as appears to be customary, with $a + bi$ (or $a + bj$ for electrical engineers) and then follow up with the ...
- 4,625
4
votes
3
answers
404
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 ...
- 4,625
3
votes
3
answers
352
views
English book for math for (electrical) engineering similar to German "Higher Mathematics"
Many universities in Germany have special math courses for engineers. These courses are often called "Höhere Mathematik" (higher mathematics) or "Ingenieursmathematik" (engineering mathematics). The ...
- 2,992
10
votes
2
answers
162
views
How to incorporate optional higher level mathematical content in an Engineering Maths course?
Our department teaches two very large first-year "Mathematical Methods" courses (600-ish students) to Engineering students. The syllabus is dictated by their (future) needs and covers a huge array of ...
- 703
6
votes
2
answers
188
views
Mathematics that can be worked into 8th grade engineering course
I have a section of 8th grade engineering/mathematics. The class is meant to be a support/enrichment environment rather than instructional, they have a separate math teacher for pre-algebra/algebra. ...
- 5,030
21
votes
4
answers
947
views
Applications and motivation of abstract linear algebra topics for engineers
This semester I'm teaching introductory linear algebra for engineering students, and I don't think I'm doing a good job explaining why these topics are important; specifically, everything having to do ...
- 675
18
votes
3
answers
1k
views
Differential forms in mechanics?
I teach mechanics (including large deformation and flow of continua) to mechanical engineering students and have a continuing mission to drag the teaching of mechanics into the 20th century (I'll ...
- 431
7
votes
2
answers
284
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 ...
- 737
12
votes
6
answers
1k
views
Reference requests: Is there a text that is even more advanced than books on "advanced engineering mathematics"
Advanced engineering mathematics is a subject of its own, building up from simple notions of functions, series, integration techniques and brief review of linear algebra which leads to transform ...
- 737
9
votes
3
answers
341
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)...
- 207
3
votes
2
answers
203
views
How to teach mathematically about Fourier analysis and synthesis? [duplicate]
I have recently started teaching. It gets totally blank in front of the big crowd. Now, I am quite confused about how to start teaching the Fourier transform and Fourier series chapter.
I want ...
- 179
7
votes
4
answers
1k
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:...
- 301
12
votes
5
answers
592
views
What Should be there in a Single Variable Calculus course for Engineers?
Thought a little background is required.
The place I teach students learn Calculus in school, not the theory but only the computational aspect.
I am trying to teach Calculus to first year ...
- 339
9
votes
0
answers
119
views
How can instructors bridge the gap between an engineering course in stochastic systems and a more rigorous Stochastic Processes course?
Systems and electrical engineering graduate students often take a course on stochastic systems (a.k.a. "Probabilistic Systems Analysis"). A typical course will present such topics as multivariable ...
- 733
10
votes
2
answers
591
views
Linear algebra for engineers
When studying linear algebra in mathematics (I mean, for the people studying mathematics) there are many ways of approaching it, depending of your needs, however supposedly every mathematician should ...
- 825
20
votes
4
answers
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 ...
- 4,625