Well, I don't know how it goes over there, but here in Algeria, Engineers go through two common years (after which they chose a specialty in the third year, and then, in the fourth and fifth year, a specialty of specialty).
All Engineers go through both years, except Computer Science who don't do the common second year and they directly go to Computer Science.
In these two years, everyone goes through this (maybe it'll give you some ideas on what you want to add):
I'll only list the "Maths" we take first and second year:
First year:
- Algebra: (a long course, bottom up. From Boole's algebra, to groups, sigma-algebra, yadda yadda), linear algebra(vector spaces, etc)..
- Probabilities and Statistics.
- Analysis: (Taylor series (Lagrange, Laplace, Young, Cauchy, Maclaurin), integrals, differentiations, different series, convergence/divergence kung fu), Riemann overall, proofs, etc.. Functions, multivariable, real and complex, etc.
Second year:
- Analysis I - Numerical Analysis (Equation systems, Gauss-Seidel, different algorithms(also calculating their speeds), Newton-Raphson, extrapolation, interpolation, etc).
- Analysis II - Integrals(up to 3rd - curves, areas/surfaces(Green) and volumes (Ostrogradsky)), Differential equations (Wronskian, etc).
This is the minimum (to be able to function in other modules, and some other modules are needed before you can function in these, so there's sort of bootstrapping of sort).
And then it depends what you take as specialty (if it's something involving Signal Processing, for instance, or Control Systems, you also need to do stuff).
Hope that helps and you can find some things.
PS: None of these are done with computers, so computing stuff with Newton algorithm and operations on big matrices are all done by hand. It takes a lot of time.
PPS: We don't have multiple answer questions. There's a question, and you answer it (and some answers take multiple pages).
Also, most tests are designed in a way that even if you have the answer sheet right next to you, it still takes you more time to copy the answers than the time of the exam itself. i.e: Even if you don't think and only "write", the time-frame is too tight.
>Also, most tests are designed in a way that even if you have the answer sheet right next to you, it still takes you more time to copy the answers than the time of the exam itself.
So the test is impossible then? If you don't even have time to copy the answers how can you possibly have time to work out the problems?
For instance, in Control Systems .. We get a problem to design a system with certain characteristics. You then have to do Z transform, etc. Then design correction to match what you're asked for (a certain overshoot max, phase, etc).
Which involves a lot of matrice multiplication (Pontryagin, optimal control). Big matrices multiplied(and elements aren't numbers, they're bits of transfer functions. But I replace them with letters and double indices, many students recopy the same expression all the way :) ).
Or your design an RST control (polynomial, much, much complex than PID).
All of this takes a lot of time to write and requires a lot of concentration (if you screw up just one element in a matrix, all ensuing is wrong and gets you nothing, so you have to be rigorous and not the day-dreaming type).
And you end up pretty much not doing some part of the thing, which is something most students don't find frustrating, since most of them wouldn't touch a part of it anyway (they haven't studied it, they don't understand it, or something else).
They're not designed like that by some sadistic tendency, it's just some stuff that needs to go down the exam..
Although I remember a teacher who told us as he gave us the exam sheet: "Don't bother looking at the verso". Meaning "You'd be happy if you only did the recto to get your 10/20". It was a deliberate move.
And in addition, it's mostly end of year exams that are like that (content from the whole year). And not all modules are like this. Some are calculation intensive and next step is dependant on current step, so making a mistake in the beginning is "fatal".
But then again, I find the exam thingy slightly ... well, let's not even go there.
All Engineers go through both years, except Computer Science who don't do the common second year and they directly go to Computer Science.
In these two years, everyone goes through this (maybe it'll give you some ideas on what you want to add):
I'll only list the "Maths" we take first and second year:
First year: - Algebra: (a long course, bottom up. From Boole's algebra, to groups, sigma-algebra, yadda yadda), linear algebra(vector spaces, etc)..
- Probabilities and Statistics.
- Analysis: (Taylor series (Lagrange, Laplace, Young, Cauchy, Maclaurin), integrals, differentiations, different series, convergence/divergence kung fu), Riemann overall, proofs, etc.. Functions, multivariable, real and complex, etc.
Second year:
- Analysis I - Numerical Analysis (Equation systems, Gauss-Seidel, different algorithms(also calculating their speeds), Newton-Raphson, extrapolation, interpolation, etc).
- Analysis II - Integrals(up to 3rd - curves, areas/surfaces(Green) and volumes (Ostrogradsky)), Differential equations (Wronskian, etc).
This is the minimum (to be able to function in other modules, and some other modules are needed before you can function in these, so there's sort of bootstrapping of sort).
And then it depends what you take as specialty (if it's something involving Signal Processing, for instance, or Control Systems, you also need to do stuff).
Hope that helps and you can find some things.
PS: None of these are done with computers, so computing stuff with Newton algorithm and operations on big matrices are all done by hand. It takes a lot of time.
PPS: We don't have multiple answer questions. There's a question, and you answer it (and some answers take multiple pages).
Also, most tests are designed in a way that even if you have the answer sheet right next to you, it still takes you more time to copy the answers than the time of the exam itself. i.e: Even if you don't think and only "write", the time-frame is too tight.