wolfram is a marvel, just transcribe the equation in the software and in a few seconds not only solves it, but also explains step by step the resolution of the exercise and the different ways of doing it. I consider that it is the best ally for the student at any level of academic training. It is useful for students of engineering, economics, business administration, accounting, physics, mathematics.... in wolfram mathematical and physical equations can be solved. no matter the complexity of an integral or a differential equation, wolfram solves it

Sometimes it can be somewhat difficult to transcribe an equation in the software. Maybe if the programmers of wolfram add some integrals and predetermined equations, it could help to mount the exercises more easily

Mathematica is used as a "canned data" version to process RADAR data. Of course it cannot do real time but that is not the requirement. With Mathematica we have a tool to see almost instantaneously if any new idea has a perspective to work or not. I am personally using Mathematica since 1990 using the "good old" Version 1.2 on a MacIntosh...

It is a really sturdy workhorse for any purposes. We do lots of RADAR data evaluations, FEM simulations, recently also NN modelling. The general strategy is to implement an algorithm in Mathematica and use this as a benchmark when the same algorithm will be transferred to c++. In contrast to other commercial available packages the output of integral transforms can be adapted to the culture (e.g. signal processing versus mathematical parameter sets for Fourier transform) and we get exactly the envisaged behavior. Generally, one can get algorithmic packages to run in one working day that take a man month to be implemented in c++. In addition, we have own packages to generate Gantt charts, project plans, 3D printer code, PCB circuit layouts.

Documentation is a bit thin, especially newly added functions tend to be poorly described. Neural Networks work fine but the description of the details is dismal! Please improve with some example networks. It took us eternities to grasp the stuff. Plotting even moderately complex 3D Regions (implicit or discretized) is very unstable and it is really a nuisance. It mostly ends with error messages and a complete breakdown of the kernel...

I've had to learn Mathematica in college to supplement my calc 1 and 2 experiences, yet learning Mathematica is far more difficult than calculus. Often Mathematica code won't run for entirely unexplained reasons. The program is often unintuitive and aggravating, and for a program touting its usability, this is unacceptable.

Mathematica has the potential to solve nearly all the math problems one could imagine.

However, while Mathematica has the potential to solve large problems, it rarely ever serves to solve the most basic problems. Mathematica requires the user to be specific in a way that only a programmer would appreciate, things like case and spelling tend to be an issue; therefore, Mathematica is utterly useless to anyone who isn't a programmer. This, then, begs the question: why would a programmer need to use Mathematica? They don't.

Overall, It provides great convenience in symbolic operations and graphic drawings, it is far superior to matlab with these features. but there are such equations that mathematica can't solve for hours. If you are working with fractional numbers, the rationalize command shortens the processing time quite a bit.

Especially drawing complex graphics can create a masochistic pleasure in people. Unlike matlab, which almost industrialized the graphic drawing business, creating graphics in mathematica is a craft. all the coordinates are entered manually (at one point they came to the mercy and put the 3d viewpoint selector command on the input menu, but there you see only the axes, not what you drew, the rest is up to your imagination). The handiwork that comes out at the end is brilliant, you can't help showing it to your friends.

Although it is a software that I greatly appreciate, it can sometimes drive me crazy with the error sentences it gives. opening and closing the program from time to time can be useful. It needs to be emptied when the memory is full, otherwise it gives more errors in new calculations.